What is an equation of the line that passes through the points (6,8) and (-3,2)

Answers

Answer 1

Answer:

y = 2/3x + 4

Step-by-step explanation:

Let the equation of the line be y = mx + c

m = (2-8)/(-3-6) = 2/3

sub (6, 8):

8 = 2/3(6) + c

c = 4

the equation if the line is y = 2/3x + 4

This is a question on coordinate geometry. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)


Related Questions

write 0.00000000018 in a scientific notation

Answers

Answer:

[tex]1.8*10^{-10}[/tex]

Step-by-step explanation:

To find the number in scientific notation you want to find how many times you have to move the decimal to get the decimal to be right after the first non-zero number. If you move to the left the exponent is positive and if you move it to the right the exponent is negative. The answer would be [tex]1.8*10^{-10}[/tex].

QUICKKKKKKK

How can a system of equations be used to solve a real-world problem? Use the steps from this lesson in your explanation???

Answers

Answer:

Steps For Solving Real World Problems

2. Highlight the important information in the problem that will help write two equations.

3. Define your variables.

4. Write two equations.

5. Use one of the methods for solving systems of equations to solve.

6. Check your answers by substituting your ordered pair into the original equations.

Answer:

First, the two equations using two variables need to be written to represent the situation. Then the equations can be graphed. Find the point of intersection of the two linear functions. Match each value to the corresponding variable to interpret the solution.

If j and k are nonzero integers, which pair of points must lie in the same quadrant?
(j, j) and (k, k)
(j, k) and (jk, jk)
(j + k, 3) and (3, j + k)
(3j, 3k) and (StartFraction 3 Over j EndFraction, StartFraction 3 Over k EndFraction)

Answers

Answer:  Choice D.   (3j, 3k)  and (3/j, 3/k)

The slash indicates a fraction.

=============================================

Proof:

We'll need to consider 4 different cases.

-----------------------

Case (1): j > 0 and k > 0

If j > 0, then 3j > 0 and 3/j > 0

If k > 0, then 3k > 0 and 3/k > 0

The two points (3j, 3k) and (3/j, 3/k) are both in quadrant 1.

-----------------------

Case (2): j > 0 and k < 0

If j > 0, then 3j > 0 and 3/j > 0

If k < 0, then 3k < 0 and 3/k < 0

Points (3j, 3k) and (3/j, 3/k) are both in quadrant 4.

------------------------

Case (3): j < 0 and k > 0

If j < 0, then 3j < 0 and 3/j < 0

If k > 0, then 3k > 0 and 3/k > 0

Points (3j, 3k) and (3/j, 3/k) are in quadrant 3.

------------------------

Case (4): j < 0 and k < 0

If j < 0, then 3j < 0 and 3/j < 0

If k < 0, then 3k < 0 and 3/k < 0

Points (3j, 3k) and (3/j, 3/k) are in quadrant 4.

------------------------

For nonzero integers j and k, we've shown that Points (3j, 3k) and (3/j, 3/k) are in the same quadrant. This concludes the proof.

Answer:

D

Step-by-step explanation:

what is this^
a)rectangular prism
b)pentagonal prism
c)rectangular pyramid
d)hexagonal prism

Answers

Answer:

A) rectangular prism

Explanation:

The base is a rectangle, not a pentagon nor hexagon. So B and D are out.

The difference between a prism and a pyramid is the shape.

Prism just tends to be extensions of the base while the pyramid would have a pointy top, just like a pyramid.

There is no pointy top on the object, so it is a rectangular prism.

Twelve hundred dollars ($1200) is divided among four sisters so that each gets $100 more than her next-youngest sister. How much will the two middle sisters each receive?

Answers

Answer:

The two middle sisters will each receive $250 and $350 respectively

Step-by-step explanation:

Let

The 4th sister = x

The 3rd sister = 100 + x

The second sister = 200 + x

The first sister = 300 + x

Total amount to share = $1,200

x + (x + 100) + (x + 200) + (x + 300) = 1,200

x + x + 100 + x + 200 + x + 300 = 1,200

4x + 600 = 1,200

4x = 1,200 - 600

4x = 600

Divide both sides by 4

x = 600/4

= 150

x = $150

There two middle sisters are:

The 3rd sister = 100 + x

= 100 + 150

= $250

The second sister = 200 + x

= 200 + 150

= $350

The two middle sisters will each receive $250 and $350 respectively

The 4th sister = x = $150

The first sister = 300 + x

= 300 + 150

= $450

The graph of a linear function “f” passes through the point (1, 3) and has a slope of 3.
What is the y-intercept?

Answers

Answer:

0

Step-by-step explanation:

Using slope intercept as ref (y=mx+b)

plug in the x and y x=1 and y=3 and the slope m=3

3=3(1)+b

solve for b

3=3+b

b=0

A carpenter use 65 shelves to make 13 bookcases. She uses the same number of shelves for each bookcase. Are 32 shelves enough to build 6 more bookcases?

Answers

Answer:

Yes.

Step-by-step explanation:

First, find the unit rate for 1 bookcase.

65 ÷ by 13 = 5 (unit rate)

Then, multiply the unit rate by the bookcases the carpenter wants to make.

6 · 5 = 30

Finally, subtract the shelves the carpenter wants to use by 30.

32 - 30 = 2 shelves.

Therefore, 32 shelves is enough to build 6 more bookcases. <3

A chain has 47 links. 13 link from one end is rusted. From the other end 17 link is also rusted. How many links lie between these tw rusted links?​

Answers

Answer:

17

Step-by-step explanation:

Answer:

17 links

Step-by-step explanation:

1. 13 Links and 17 links are rusted. Since we need to find out the number of links that are not rusted, we need to add 13+17.

a.  13  + 17 = 30

2. Now since we added the number of lines rusted, we now should subtract the ones rusted and the one not rusted to get the answer.

a. 47-30 = 17

FINAL ANSWER: 17

2/3 x -4 is the problem to solve

Answers

Answer:

-2.66666667

Step-by-step explanation:

hi i really need help!!​

Answers

Answer:

GH = 12, JH = 8, GJ = 10.6, your answer is the first choice

Step-by-step explanation:

Mid-segment theorem basically means it's like cut in half so just apply that logic to the entire thing:

DG = GF and IH = HF

DI length, 24, divided by two, because half, equals 12 so 12 = GH

JH is DF divided by two so basically 16/2 which is 8 which also equals DG

GJ = IH because like I said half half theory

Essentially, all the parallel lines are halves of each other.

GH = 12, JH = 8, GJ = 10.6, your answer is the first choice

if u subtract 17 from my number and multiply the difference by -5 the result is -25 what is the number

Answers

22

(X-17)-5=-25
Divide by -5
X-17= 5
Add 17 to both sides
X=22

Answer:

the number is 22

Step-by-step explanation:

let the number be x

-5(x-17) = -25

-5x + 85 = - 25

-5x = - 25 - 85

-5x = - 110

x = - 110 ÷ - 5

x = 22

Check answer

- 5 × ( 22) + 85

- 110 + 85

- 25

Please simplify: 5(2n + 7)

Answers

10n + 35 is the answer
5(2n+7)

So, you have to multiply 5 with all the numbers that are inside the parentheses. First, 5•2n is 10n and than 5•7 is 37. And the final answer is 10n+35. That’s the final answer. You don’t need to add 10n and 35 because 10 have a (n) a letter and 35 doesn’t, it’s different. :) hope you understand.

What is −2y + 10 + 2y − 8 simplified? A. 10 B. 8 C. 6 D. 2

Answers

Answer: 4y + 2

Step-by-step explanation:

IM JUST DIFFERENT;D

The table below shows data on the number of emergency room admissions recorded over the span of one shift.

Which of the following graphs displays the same information as that shown in the table

Answers

Answer:

C. III

Step-by-step explanation:

Answer:

C: III

Step-by-step explanation:

I know that's the answer.

You are welcome

The missing angle of (3x-5)

Answers

Answer: 22

Step-by-step explanation:

(7x+5) + (3x-5) + 90 = 180

10x + 90 =180

        -90   -90

10x          =90

_               _

10             10

x = 9  

3(9)-5

27-5

22

Answer:

To find the missing angles of the triangle we must first make an equation using what we know. A triangles sum is equal to 180 degrees, and a box indicator represents a 90 degree angle. With that we do this,

(7x+5)+(3x-5)+90=180
7x+5+3x-5+90=180
7x+3x+90=180
10x+90=180
10x=180-90
10x=90
10x/10=90/10
x=9

Now we find each individual missing angle,

(3x-5)
3(9)-5
27-5
22 degrees

(7x+5)
7(9)+5
63+5
68 degrees

Check to make sure it equals 180 degrees

22+68+90=180

Given the two congruent triangles below, choose which congruence theorem
can be used to prove the triangles are congruent.
A) AAS
C) ASA
B) SSS
D) SAS

Answers

Answer:

It is SAS.

Step-by-step explanation:

Because I just know it is correct.

what does x = ? need help with the pythagorean theorem

Answers

Answer:

The answer is 9

Step-by-step explanation:

set up the equation as 12^2 + b^2 = 15^2

solve the exponents and you get 144 + b^2 = 225

Then subtract 144 from both sides and get 81

After that just do the square root of 81 and you get 9

pls mark brainliest

Connecting the dots question

Answers

it's the 3rd one.

Step-by-step explanation:

start with the bottom point of the top triangle and go up left, across, down, then straight down to the bottom triangle. then you can go left or right to connect it.

There are 10 m of thread on the reel. She use 210 cm. In centimeters. How much is left on the reel

Answers

Answer:

The length of the thread which is left on the reel is 790 cm. Used = 210 cm.

Step-by-step explanation:

Answer:

23.11 ft

Step-by-step explanation:

idk if that is right sry

Let p(x) = -2x - 9. If p(x) = -19, find x.

Answers

Answer:

x=5

Step-by-step explanation:

Step 1: Flip the equation.

−2x−9=−19

Step 2: Add 9 to both sides.

−2x−9+9=−19+9

−2x=−10

Step 3: Divide both sides by -2.

Exact Form:

x = 9/17

Decimal Form:

x = 0.52941176…

Edit: "but what are the steps to get 9/17"

1. Move all terms containing x to the left side of the equation.

2. Divide each term by −17 and simplify.

HELP ME PLZZ I NEED HELP WITH THIS!!

Answers

Answer:

A

Step-by-step explanation:

[tex]\huge\underline{\overline{\mid{\bold{\red{ANSWER}}\mid}}}[/tex]

B.

Reason

because 0.296 is non-repeating and non-terminating.,

and , 0.98888... is repeating and non-terminating.

And on converting both of these in p/q form, they will be rational number.

SOmeone SMART HELP ME OMG

Answers

Answer:

x = 7, arc DE = 198°

Step-by-step explanation:

Inscribed angles from the same arc are congruent.

∠ DCE and ∠ DWE are inscribed angles from the same arc DE , thus

12x + 15 = 3x + 78 ( subtract 3x from both sides )

9x + 15 = 78 ( subtract 15 from both sides )

9x = 63 ( divide both sides by 9 )

x = 7

Thus

∠ DCE = 12x + 15 = 12(7) + 15 = 84 + 15 = 99°

The inscribed angle DCE is half the measure of its intercepted arc, thus

arc DE = 2 × 99° = 198°

The science department orders a new telescope and pays $253.87 after taxes.The tax rate is 6%. What was the original price of the telescope?

Answers

The original price would be $239.5, you can solve this by using proportions

I need help with ANLGES!!!!

Answers

Answer:

32, consecutive interior angles are supplementary.

Step-by-step explanation:

We know that the two angles add up to 180, because consecutive interior angles are supplementary. So let's set up an equation equal to 180.

2x + 3x + 20 = 180

Now let's add like terms.

5x + 20 = 180

Now let's subtract 20 from both sides.

5x = 160

Now let's divide both sides by 5.

x = 32

The yellow one hope u get it right

i can’t figure this one out

Answers

Answer:

H.

Step-by-step explanation:

the number of premiums sold in week 3 was 50

the number of premiums sold in week 2 was 25

25 times 2 is 50

There are 5 members in a running group. Over a period of 4 weeks, each member agreed to run 2 miles each Monday, 3 miles each Wednesday, and 2 miles each Friday. Which expression represents the total number of miles that will be run by all the members in the group? 5×(4×2+3+2) 5×(4×2+3)+2 [5×(4×2+3)]+2 5×[4×(2+3+2)]

Answers

Answer:

140 miles

Step-by-step explanation:

Answer:

140 miles I think

Step-by-step explanation:

On a coordinate plane, a straight line with a positive slope begins at point (0, 50) and ends at point (5.5, 600).
Which scenario is most likely the one shown on the graph?

1.) the total amount of money in the cash register, y, containing $50 in change and small bills and x $100 bills
2.) the total number of puzzle pieces, y, in a brand new 50-piece puzzle, and x brand-new 100-piece puzzles
3.)the total weight of the barbell, y, where the bar weighs 50 pounds and x 100-pound weights are added to it
4.) the total number of calories, y, in a salad with vegetables containing 50 calories topped with x ounces of salad dressing at 100 calories per ounce

Answers

Answer:

The total number of calories, y, in a salad with vegetables containing 50 calories topped with x ounces of salad dressing at 100 calories per ounce.

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

HELP!! ILL MAKE YOU BRILLIANT PLEASE!

Answers

Answer:

the first third fourth and last one Step-by-step explanation: and btw we know your not a girl your just a guy sitting behind a chair messing around with the most helpful website in the world

Step-by-step explanation: #karma

you took my points and didnt even try to put a answer thats why im letting you experience karma treat people the way you wish to be treated

can someone write me the equation please???

Answers

y = 3x + 4 is the equation
Y=3x+4

Hope this helps

helpppppppppp plsplspls

Answers

Answer:

1.6

Step-by-step explanation:

Answer:

Sugar needed for 6 batches =  2.4

Cinnamon needed for 6 batches =  0.06

 Step-by-step explanation:

Sugar needed for one batch = 0.4

Sugar needed for 6 batches = 0.4 * 6 = 2.4

Cinnamon needed for 1 batch = 0.01

Cinnamon needed for 6 batches = 0.01  * 6 = 0.06

 

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