Why is the slope the same on a line when different points are used to identify the slope?

Answers

Answer 1
Different points are used to identify the line, this can mean that both points lie on the same line.
Therefore the slope is the same because the line passes through both those points.
Answer 2

Different points can be used to identify the slope as follows -

We have a straight line.

We have to investigate why is the slope same on a line when different points are used to identify the slope.

What is Slope of a Line ?

The slope of a line is denoted by m and is defined as the change in y coordinate with respect to the change in x coordinate.

According to question -

Different points can be used to identify the slope provided that they all lie on the same straight line. Line is a collection of points and these set of points can be used top determine the rate of change of y with respect to x. The slope of a line can also be found out using y - intercept of the line using the general equation of straight line -

y = mx + c.

Hence, the slope is same on a line provided that they all lie on the same straight line

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Related Questions

select the two values of x that are roots of this equation 2x^2-11x+15=0

Answers

X=5/2 and 3. Factor the equation find numbers that will sum up too -11 involving the coefficient of 2, and that multiply into 15. 2x too the power of 2 -11x +15=0 (2x-5)(x-3) =0

150% of 45 less than 100, greater than 100 but less than 150. Or greater than 150?

Answers

Answer:

150% of 45 less than 100, greater than 100 but less than 150. Or greater than 150?

Answer:

Less than 100?                                                  YES

Step-by-step explanation:

150% of 45 less than 100, greater than 100 but less than 150, or greater than 150?

"150% of 45 "

150% (45)

1.5*(45) = 67.5      

Less than 100?                                                  YES

Greater than 100 but less than 150               NO

Greater than 150?                                             NO

there are 60 balloons in a pack. 3/10 of the balloons are red. 1/3 of the balloons are yellow. the rest are blue. how many are blue?

Answers

Answer: 22 blue balloons

Step-by-step explanation:

IF 3/10 balloons are red out of 60, we have

[tex]\frac{3}{10} *60[/tex] = 18 red balloons in total

1/3 of the balloons are yellow, 60/3=20 yellow balloons

Blue balloons= 60-18 (red)-20(yellow)=22

 1. What do you think it means when the change is positive? Negative?

2. What do you think it means when the inventory is positive? Negative?

Answers

A positive change simply means that there is more inventory the following day while a negative change means that there is less inventory the following day.

What is an inventory?

An inventory or stock simply means the goods that a business can hold in order to sell or use for its production purpose.

A positive inventory simply means that the company has phones that have not yet been sold. On the other hand, a negative inventory means that the inventory count is below zero.

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find the ratio


3 ounces cost $2.73

Answers

Answer:

1 : $0.91

Step-by-step explanation:

divide 3 by 3

divide 2.73 by 3

1:0.91

please help me write an expression for area and perimeter for this rectangle ​

Answers

[tex]\text{Given that ,}\\\\\text{Length,}~ l = (2y+5)~\text{units.}\\\\\text{Width, } w= 3~\text{units.}\\\\\\\text{Area} = lw = (2y+5)(3) = (6y+15) ~~ \text{units}^2.\\\\\\\text{Perimeter} =2(l+w) = 2(2y+5 +3) = 2(2y+8) = (4y+16)~~ \text{units}.[/tex]

28. Which category is zero NOT a part of?
NY
A. Whole
B. Integers
C. Rational
D. Natural

Answers

Answer:

Zero is not a natural number

Step-by-step explanation:

Hope this helps!

D is the answer for this question

A pizza restaurant had 1/3 of a gallon of pizza sauce left at the end of the evening and divided it equally among 3 pizzas. How much sauce did they put on each pizza? D) Write your answer as a fraction or as a whole or mixed number. gallons Submit Work it out​

Answers

Answer:

1/9 of a gallon of sauce

Step-by-step explanation:

You would have to divide the fraction (1/3) by the number of pizzas (3)

but…

you can’t DIVIDE fractions, so you have to use the “keep-change-flip“ method

1/3 ÷ 3

keep 1/3

change ÷ into ×

and flip 3 into 1/3 (because technically 3 is 3/1)

1/3×1/3= 1/9

hope this helped!

Please help. Due Today

Answers

Answer:

Blank 1) 1 pound of raisins

Blank 2) 2.25 pounds of raisins

Blank 3) 1.2 pounds of almonds

Blank4) 1.4 pounds of almonds

12 divided by -3 is what?

Answers

-4 because when you did use 12 divided by 3 you get four but this is negative so you get a negative answer
answer:

-4

explanation:

when dividing with positives you would get “ 4 “ but since it’s a negative just add the minus at the start

how to rewrite 3/4 with the denominator 12

Answers

9/12
Multiply 4 by 3 and multiply 3 by 3 and you get 9/12

Area of rectangle and triangles!! HELP ASAPPP

Answers

Answer:

13. 15

14. 7.25

15. 18.7

16. 40.515

17. 9.6

18. 12.95

19. 20.4

20. 16.2

21. 24

22. 25.65

what is 5^12 divided by 5^3 simplified

Answers

Answer: 1/4

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

ASAP HELP Can a triangle have sides with the given lengths? Explain, showing all the work
8 ft, 9 ft, 18 ft
PLEASE EXPLAIN

Answers

Answer:

Yes

Step-by-step explanation:

the triangle is a scalene triangle (has no equal parts

Julia wants to make a vegetable garden in her backyard for 6 different vegetables. She makes 6 sections in the
garden. The dimensions of the garden are 3 sections long by 2 sections wide. Each section is in the shape of a
square. The area of the vegetable garden is 73.5 square feet. What is the length of the vegetable garden?

Answers

Answer:

36.75 square feet

Step-by-step explanation:

First, we can divide 73.5 into 6 to calculate area for each section. We get the answer of 12.25. Next, it says that the garden is 3x2 sections, so we multiply 12.25 by 3 to get a total of 36.75

The Julia wants to make a vegetable garden in her backyard length of the vegetable garden is 10.5 feet.

The garden is divided into 6 sections.

The dimensions of the garden are 3 sections long by 2 sections wide.

Each section is in the shape of a square.

The area of the vegetable garden is 73.5 square feet.

Let's denote the side length of each square section as "s". Since there are 6 sections, the area of the vegetable garden can be calculated as:

Total Area = Number of Sections × Area of One Section

73.5 = 6 × s²

Now, solve for the side length "s":

s² = 73.5 / 6

s² = 12.25

Taking the square root of both sides:

s = √12.25

s = 3.5 feet

Since each section is a square and has a side length of 3.5 feet, the dimensions of the garden are 3 sections long by 2 sections wide, which translates to:

Length = 3.5 feet/section ×3 sections = 10.5 feet

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Please help, super hard question for me!

Give two systems of equations, each containing two equations, that would be easier to solve by substitution than by elimination. Then give two systems that would be easier to solve with elimination. Finally, explain how you decide whether to use elimination or substitution to solve a system.

I will give brainliest to best answer

AND DON’T ANSWER THEN DELETE FOR POINTS

Answers

Answer:

Step-by-step explanation:

When using the substitution method we use the fact that if two expressions y and x are of equal value x=y, then x may replace y or vice versa in another expression without changing the value of the expression.

Solve the systems of equations using the substitution method

{y=2x+4

{y=3x+2

We substitute the y in the top equation with the expression for the second equation:

2x+4            =      3x+2

4−2              =        3x−2

2===             =         x

To determine the y-value, we may proceed by inserting our x-value in any of the equations. We select the first equation:

y= 2x + 4

We plug in x=2 and get

y=  2⋅2+4 = 8

The elimination method requires us to add or subtract the equations in order to eliminate either x or y, often one may not proceed with the addition directly without first multiplying either the first or second equation by some value.

Example:

2x−2y = 8

x+y = 1

We now wish to add the two equations but it will not result in either x or y being eliminated. Therefore we must multiply the second equation by 2 on both sides and get:

2x−2y = 8

2x+2y = 2

Now we attempt to add our system of equations. We commence with the x-terms on the left, and the y-terms thereafter and finally with the numbers on the right side:

(2x+2x)  + (−2y+2y) =  8+2

The y-terms have now been eliminated and we now have an equation with only one variable:

4x = 10

x= 10/4 =2.5

Thereafter, in order to determine the y-value we insert x=2.5 in one of the equations. We select the first:

2⋅2.5−2y     =  8

5−8             = 2y

−3               =2y

−3/2            =y

y                 =-1.5

Answer:

1. No, because a system of linear equations in two variables may have, zero,  or infinietley solutions.

2. true because the answer of a system is the intersect, not where the lines cross a grid.

3.a. y=2x+4

y=3x+2

2x+4=3x+2

4-2=3x-2

2=x

b.y=2x+4

y=2*2+4=8

c. 2.2.5-2y=8

5-8=2y

=3=2y

-3/2=y

y=1.5

Step-by-step explanation:

answers for teh complete assigment

b) the difference between three and x
Math

Answers

Answer:

  3 - x

Step-by-step explanation:

In math, "the difference between A and B" usually means ...

  A - B

In English, it often means ...

  |A - B| . . . . the positive difference

__

"The difference between 3 and x" can be written as the expression ...

  3 - x

what is 2^3 x 2^18 simplified

Answers

Answer:

2097152 or 2^21

Step-by-step explanation:

Answer: [tex]2^{21}[/tex]

Step-by-step explanation: Exponents are combined when simplifying a multiplication equation.

Please help :)

Chloe is an acrobat in a local circus. Her job is to move across a tightrope from point A to point B while blindfolded! She can only move using the distances that you tell her to move in your instructions. Chloe may go past the ladder. However, if she does, make sure she turns around and goes back toward the ladder.

Use the link: Link

Your Task: Work with your partner to find different combinations of the lengths given in parts (a) through (d) below that will allow Chloe to move from point A and end at point B (the end of the tightrope). You may use each length as many times as you like. .

1. For each crossing, look for at least three different ways to get the acrobat across. *Draw a diagram on your paper that shows the solution with the least amount of steps. *For the neither 2 write a number sentence/equation.​

Answers

Explanation:

We'll let you draw the diagram. Here are some possible equations. We have listed the shortest sequence first.

(a) 24 = (10 + 10 + 4) = (8 + 8 + 8) = (10 + 8 + 4 + 2)

(b) 17 = (10 + 3 + 2 + 2) = (10 + 3 + 3 + 3 - 2) = (3 + 3 + 3 + 3 + 3 + 2)

(c) 15 = (11 + 4) = (6 + 6 + 3) = (4 + 4 + 4 + 3)

(d) 27 = (19 + 8) = (19 + 12 - 4) = (19 + 12 + 4 - 8)

Simplify 7 1/3t−(10 2/3t−6) pls

Answers

Answer:

[tex]-\frac{10t}{3}+6[/tex]

Step-by-step explanation:

[tex]7 \frac{1}{3}t-(10 \frac{2}{3} t-6)[/tex]

Convert [tex]7\frac{1}{3}[/tex] to a mixed number

[tex]7\frac{1}{3}=\frac{7\cdot 3+1}{3}[/tex]

[tex]=\frac{22}{3}[/tex]

[tex]\bold{\frac{22}{3}t-\left(10\frac{2}{3}t-6\right)}[/tex]

Convert [tex]10\frac{2}{3}[/tex] into a mixed number

[tex]10\frac{2}{3}=\frac{10\cdot 3+2}{3}[/tex]

[tex]=\frac{32}{3}[/tex]

[tex]\bold{\frac{22}{3}t-\left(\frac{32}{3}t-6\right)}[/tex]

[tex]=\frac{22t}{3}-\frac{32t}{3}+6[/tex]

[tex]\bold{=\frac{-10t}{3}+6}[/tex]

Terms

Follow the PEMDAS order of operation:

P = ParenthesisE = ExponentsM = MultiplicationD = DivisionA = AdditionS = Subtraction

You do these steps in the order for which the equation comes. For example, start with the exponents if there are not any parentheses.

HELP PLZZZZZZZ with #1

Answers

Answer:

Option A, 300 - 20w

Step-by-step explanation:

In a week, she withdraws $20

in w weeks, she will withdraw ; w × 20

= 20w

Balance = Initial amount - Amount withdrawn

= 300 - 20w

Amelia is 5 feet tall and casts a 4-foot shadow. A tree next to her casts a 12-foot shadow. The two triangles formed are similar because the angle to the sun is the same. Choose two equations that can be used to find the height, h, of the tree.

Answers

The two equations that can be used to find the height are as follows

12 / 4 = h  /5

5 / 4 = h  / 12

We have given that,

Amelia is 5 feet tall and casts a 4-foot shadow. A tree next to her casts a 12-foot shadow.

What is the similar triangles?

Similar triangles are not necessarily the same in size. Corresponding angles of similar triangles are congruent. The sides of a similar triangle are a ratio to each other.

The tree casts a shadow of 12 ft. Let's establish the proportion base on similar triangles. The height of the tree is h. Therefore,

h / 12 = 5 / 4

Therefore, h / 12 = 5 / 4

cross multiply

4h = 60

divide both sides by 4

h = 60 / 4

h = 15 ft

Therefore, the two equations that can be used to find the height are as follows

12 / 4 = h  /5

5 / 4 = h  / 12

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Answer:

i am on ttm

Step-by-step explanation:

12/4=h/5

5/4=h/12

10 x + 2 y . Find P when: x = 3 and y = 6



help pleaseee

Answers

Answer:

42

Step-by-step explanation:

(10x3) + (2x6)

= 30 + 12

= 42

10x + 2 y = (10.3) +(2.6) = 30+12=42

Our answer is 42

Two lines are intersecting. What is the value of x?
(x + 26)
(3x - 6)º

Answers

Answer:

i don't know sorry

Please help me no links or bots please and thank you please actually help me with this please

Answers

Answer:

[tex]y=-1 \frac{2}{3}x+5[/tex]  

Step-by-step explanation:

y=mx+b is slope-intercept form

m= slope

b= y-intercept (where the line on the graph touches the y=axis aka the line that goes vertically or up and down).

The photo you have attached is very blurry but i will do my best to read the numbers on the graph.

the y-intercept looks to be at 5

so we plug that in

y=mx+5

now let's get the slope.

pick two points you can easily see,

slope is change in y over the change in x --- which is simplified below

rise over run

y2-y1 divided by x2-x1

we can see the point (0,5) and the point (3,0)

(3,0) is going to be the x2 and y2 and the other point is the x and y 1s

0-5= -5

3-0= 3

-5/3

let's simplify that

we know three goes into five once, so that gives us one whole but it's still negative because our slope is negative.

-1 2/3

that is our slope

let's plug it in:

[tex]y=-1 \frac{2}{3}x+5[/tex]

that is our answer!

Write the following statements in the form of equations.

a. The sum of five times p and 8 is 23.

b. If you subtract 6 from 3 times a number, you get 18.

c. One third of a number plus 7 is 26.

Answers

Answer:

a. The sum of five times p and 8 is 23.

HELP PLZZ! 50 POINTS!!

Answers

4%. 1/5 * 1/5 is 1/25 which equals 4%

Answer:

24%

Step-by-step explanation:

consider bag 1: there are 3 vowel tiles (out of 5) in this bag so the probability of choosing a vowel tile would be 3/5

bag 2: there are 2 vowel tiles (out of 5) in this bag so the probability of choosing a vowel tile would be 2/5

to find the probability of getting two vowel tiles (one from each bag), you multiply these two probabilities together:

3/5 *2/5 to get 6/25 which is equal to 0.24 or 24%

NEED HELP ON THIS EQUATION!!!​

Answers

Answer:

1.2x + 3

Step-by-step explanation:

It has to have +3 because 0 alresdy starts at 3 than use any point (I choose (5,9)) and find how much changed. The point moved 6 up and 5 to the right so divide 6/5 and get 1.2. Then test it with other points. (2,5.4) is a great example because it shows that whatever the equation is it is not 1.5 or anything above.

Add. Use models if needed. (-3x - 7) + (4x + 7)

Answers

-3x-7+4x+7

Negative -7 and positive 7 will give you 0.

So we're left with x. Therefore, the answer is x.

(-3x-7)+(4x+7) = -3x-7+4x+7 = -3x+4x = x

Starting at 1:00 P.M., the temperature changed -4 degrees per hour. How long will it take to reach -1?

Answers

Answer:

i may need more info on the temperature or do you have to find out

Step-by-step explanation:

Other Questions
Why did the British ban the colonies from using Boston Harbor in 1774? To develop economy within the colony To keep out diseases from Europe To limit immigration from France To make colonists pay for destroying shipments of tea a store is having clearance sale where merchandise on the sales racks is reduced by 80% from the original price. if a jacket was originally priced at $76, what is the sale price? Gerrald Express is a partnership business registered in Singapore. The partners are Glenn and Kim. Each of the partners contributed $50,000 as capital to the partnership and they share equally in the profits and losses.The partnership carries on the business of marketing services. In the financial year ended 31 December 2020, the partnership recorded a net loss of $79,000 after charging the following items of expenses:Interest on capital paid equally to the partners $5,000Glenn salary and bonus 12,000Kim salary and bonus 15,000Kims airfares for business purposes 4,800Glenns taxi fare reimbursements for business 1,200Motor car expenses reimbursed to employees 3,000Depreciation 6,000Interest on loans to fund operating expenses 2,800Besides his involvement in partnership business, Glenn is also the Executive Officer of a medium size Company in Singapore. He was paid annual remuneration of $78,000 for the year ended 31 December 2020. His spouse has no income for last year and has 2 children aged 19 and 12. The son is serving National Service and Glenn did not perform any active NS training in the previous year.Required:a) Compute the amount of tax adjusted profit or loss of the Gerrald Express partnership for the year of assessment 2021; [8 marks]b) Compute the assessable income of Glenn for the year of assessment 2021; [12 marks]c) State the major difference in a partners liability to utilise the losses arising from a partnership and from a limited liability partnership. [10 marks] 13. In which of the following climates does chemical weathering generally occur mostrapidly?A. CandaB. GreenlandC. BrazilD. Algeria Help help help math math A salesperson works 40 hours per week at a job where she has two options for being paid. Option A is an hourly wage of $24. Option B is a commission rate of 10% on weekly sales. How much does she need to sell this week to earn the same amount with the two options? Help asap pls!!! Put steps if possible 3 do forces that act a distance come in pairs? Which group is the primary source of financial support that benefits all wildlife species? Please help me 87x89 PLEASE Andrew washed 32 car windows in 4 hours. At this rate, how many windows did he wash in 8 hours? can someone explain it please ? J'(esprer)_____ quil viendra.2. Nous (manger) bien dans ce restaurant.3. (S'en aller) ________ ! Je ne veux pluste parler.4. Ga fait deux semaines que nous (tre)_________ a Paris.5. (Vouloir) ________ accepter lexpression de mes sentimentsles plusdistingus.6. Le joueur (courir) _____vite.7. (Ecouter) il toujours la radio?8. Depuis combien de temps (travailler) _________.vous cet exercice?9. (Envoyer) -moi unelettre. Randy can run six-tenths of a mile every 4 minutes, but it takes Julie 5 minutes. By the time Julie has run for 20 minutes, how far has Randy run? A 1.8 milesB 2.4 milesC 2.6 milesD 3 miles Describe the transformation A map is drawn to a scale of 28 miles per inch. Fill in the table.need some help Need help on HS geometry if x+y=10 and x-y =6 what is the answer of x cube - y cube fast The cat is crawling silently ......... the bed 1.with 2.of 3.at 4.towards Fill in the blank with the Spanish equivalent of the phrase in parentheses Tengo receso (at noon)A. a medianoche B. maanaC. tempranoD. a medioda