Write an equation of the line that passes through the given points in any form.

Write An Equation Of The Line That Passes Through The Given Points In Any Form.

Answers

Answer 1

Answer:

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

Step-by-step explanation:

The slope is found by doing the equation [tex]\frac{rise}{run}[/tex]. When looking at the first two points, it's shown that the rise (difference between the two y values) is 2 (since it increased by 2) and the run (difference between the two x values) is 3 (since it increased by 3).

This gives us a slope of [tex]\frac{2}{3}[/tex].

The +1 is found by looking at the y intercept. The y intercept is found by looking at the y value when x = 0. In this picture, it is clear that it is 1.

The equation you want to use is y = mx + b , where b is the y intercept and m is the slope. Just plug in the numbers and you got your equation!


Related Questions

Decrease 10kg by 10%

Answers

Answer:

if you decrease 10 kg by 10% you get 9 kg

The value after the decrease in 10% is 9 kg

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the total amount be A = 10 kg

Now , the percentage decrease in value = 10 %

So , the equation will be

The amount after decrease =
Total amount - ( percentage decrease in value x total amount )

And , the equation is

The amount after decrease = 10 - ( 10/100 ) x 10

                                              = 10 - 0.1 x 10

                                              = 10 - 1

The amount after decrease = 9 kg

Therefore , the value is 9 kg after decrease in 10 %

Hence , The value after the decrease in 10% is 9 kg

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A model with 1 shaded part and 3 unshaded parts.
Write the unit fraction depicted in the model as a percent.

One-fourth =
%

Answers

One fourth=25% and for the 3 unshaded parts it would be three fourths=75%

Answer:

he is wrong it is 25 %

Step-by-step explanation:

I just did it

What is the y-intercept of the line that passes through the points (2, -1) and
(-3, 9)?

Answers

Answer:

the y intercept is (0, 3)

Step-by-step explanation:

y = mx + c

where m is the slope and c is the y-intercept

[tex]m = \frac{y_2 - y_1}{x_2 - x_1 }[/tex]

[tex]m = \frac{9 - -1}{-3 - 2 }[/tex]

[tex]m = \frac{10}{-5}[/tex]

[tex]m = -2[/tex]

hence, y = -2x + c

input a pair of values, in this case i will use (2, -1)

-1 = -2(2) + c

-1 = -4 + c

-1 + 4 = c

3 = c

Line a is parallel to line b. If the measure of <2 is 78°, what is the measure of <5?

Answers

Answer:

The measure of angle 5 is 102°

A Confession to my Friends
(HardCoreGamer808, ItsKennadi)
U guys are the best. Love u.
Stay Strong

Answers

Aww, that's sweet, but why don't you just text them?

Answer: Love is for the weak loll

An alloy consists of nickel, zinc, and copper in the ratio 2:7:9. How many pounds of nickel have to be used to create alloy that contains 4.9lb of zinc

Answers

Step-by-step explanation:

please mark me as the brainliest answer and please follow me

Answer:

the first one is wrong.

Step-by-step explanation:

How long is 50% of 60 minutes?

Answers

Answer:

30 minutes

Step-by-step explanation:

60 divided by 2 = 30

lable min

you sailed 33.2 units away and found treasure at -22 units find where the ship started x + -33.2 equals -22
Please.help I am on a timer!​

Answers

Answer:

2 is the asnwer hard to explain have a good TEST!!

Step-by-step explanation:

When air is pumped into an automobile
tire, the pressure is inversely proportional to
the volume. If the pressure is 35 pounds
when the volume is 120 cubic inches, what
is the pressure when the volume is 140
cubic inches?

Answers

Answer:

The pressure P₂ = 30 pounds when volume is 140 cubic inches

Step-by-step explanation:

We are given

Pressure P₁ = 35 pounds

Volume V₁ = 120 cubic inches

Volume V₂ = 140 cubic inches

We need to find Pressure P₂

The formula used will be: [tex]V_1P_1=V_2P_2[/tex]

Putting values and finding P₂

[tex]V_1P_1=V_2P_2\\120\times 35=140\times P_2\\4200=140\times P_2\\P_2=\frac{4200}{140} \\P_2=30 \ pounds[/tex]

So, the pressure P₂ = 30 pounds when volume is 140 cubic inches

Solve the equation 3/4x + 3 -2x = -1/4+1/2x+5
If necessary: Combine Terms
Apply Properties: Add, Subtract, Multiply, Divide

Answers

Answer:

x = -1

Step-by-step explanation:

3/4x + 3 -2x = -1/4 + 1/2x + 5

3/4x + 3 -2x = 19/4 + 1/2x

3x + 12 - 8x = 19 + 2x

-5x + 12 = 19 + 2x

-5x - 2x + 12 = 19

-7x = 19 - 12

-7x = 7

x = -1

By solving the algebraic equation  [tex]\frac{3}{4}x+3-2x = -\frac{1}{4}+ \frac{1}{2}x + 5[/tex], x = -1.

What is algebraic equation?

Algebraic equation is statement of the equality of two expressions formulated by applying to a set of variables the algebraic operations, namely, addition, subtraction, multiplication, division, raising to a power, and extraction of a root.

[tex]\frac{3}{4}x+3-2x = -\frac{1}{4}+ \frac{1}{2}x + 5\\\\\frac{3}{4}x-2x-\frac{1}{2}x = -\frac{1}{4}+5-3\\\\\frac{3x-8x-2x}{4} = \frac{-1+20 - 12}{4} \\\\-\frac{7x}{4} = \frac{7}{4}\\ \\ x = -1[/tex]

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The boundry of a park is shaped like a circle

Answers

Answer:

what is the question? a circle is 360 degrees if that is what you're asking.

what’s the question though

please help me solve this problem. ​

Answers

Answer:

Step-by-step explanation:

There is no solution

Answer: There is no such value of X.

Step-by-step explanation:

If you get this wrong, im sorry but im sure that its the right answer.

what the slope of (19,-12) (5, 16)​

Answers

Answer:

The slope is -28/14

Solve for x and explain how I show work

Answers

Answer:

x = 100

Step-by-step explanation:

(x - 20) + x = 180  

2x - 20 = 180

   + 20    +20

2x = 200

x = 200/2

x = 100

Douglas has a box with 49 paper clips.
Of the paper clips, 15 are yellow, 9 are
red, 6 are blue, 11 are orange and 8
are green. Douglas randomly picks 2
paper clips from the box.

If the first paper clip is red, what is the probability that the second paper clip is blue?

Answers

Answer:

6/48 is the likely possibility that he will pull out a blue one.

Step-by-step explanation:

The first thing you will look at is how many blue there is and in this case there is 6. All you have to do (if it didn't already) is add up all of the paperclips and put the blue total number to get your answer. So if there was 49 but he drew out one to make it 48.  So the answer is 6/48

Solve -0.8(10 - x) = 36

Answers

[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Linear equation.

Solving we get as,

-0.8(10-x)=36

=> -8 + 0.8x = 36

=> 0.8x = 36+8

=> 0.8x = 44

=> x = 44÷0.8

=> x = 55

x= 55.

The solution of the expression will be;

⇒ x = 55

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ -0.8 (10 - x) = 36

Now,

We can solve the expression as;

The expression is,

⇒ -0.8 (10 - x) = 36

⇒ - 0.8 × 10 + 0.8x = 36

⇒ - 8 + 0.8x = 36

⇒ 0.8x = 36 + 8

⇒ 0.8x = 44

⇒ x = 44 / 0.8

⇒ x = 55

Thus, The solution of the expression will be;

⇒ x = 55

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A polynomial identity is shown, where p stands for a polynomial.

x3+y3=p(x2−xy+y2)
ON TIMED ASSESMENT PLEASE HELP ASAP

Answers

Answer:

p=x+y

Step-by-step explanation:

Answer:

p=x+y

Step-by-step explanation:

that is the answer

PLEASE HELP AS SOON AS POSSIBLE (THANK YOU VERY MUCH IF YOU DO)

Answers

Answer:In this equation, we can start by understanding that "x" has a value of 8, as given in the ordered pair. When multiplied by 5, this leads to "40 - 2y = 30". Next, we can subtract 40 from both sides of the equation. This leads us to a value of "-2y = -10". The next step would be to divide both sides by -2 as a way of isolating "y", which leads us to a final value of "y = 5". The final ordered pair would be (8,5).

Step-by-step explanation:

i need help with the group 1 and group 2, what do i write in the boxes :((

Answers

I don’t see anything it’s a black screen

Dwayne and Alisha both correctly graphed a standard normal curve. Which of the following statements is true?
A) Neither the means nor the standard deviations of Dwayne’s and Alisha’s graphs must be the same.
B)The means of Dwayne’s and Alisha’s graphs must be the same but not the standard deviations.
C) The standard deviations of Dwayne’s and Alisha’s graphs must be the same but not the means.
D)Both the means and the standard deviations of Dwayne’s and Alisha’s graphs must be the same.

Answers

Answer:Both the means and the standard deviations of Dwayne’s and Alisha’s graphs must be the same.

Step-by-step explanation:

The solution is, the function  y=10+×. is plotted below.

What is a function?

A unique kind of relation called a function is one in which each input has precisely one output. In other words, the function produces exactly one value for each input value. The graphic above shows a relation rather than a function because one is mapped to two different values. The relation above would turn into a function, though, if one were instead mapped to a single value. Additionally, output values can be equal to input values.

here, we have,

The x-values are input into the function machine. The function machine then performs its operations and outputs the y-values. The function within can be any function.

It is a straight line because the degree of the variable or its maximum power is one.

Put x = 0

y = 10 + 0 = 10, therefore one point (0,10)

Put y = 0

0 = 10 +x

Another point since x = -10. (-10,0)

As shown in the graph below, a straight line should be drawn through both locations.

Any point on the line that does not satisfy the equation is a nonexistent point.

Hence the function  y=10+×. is plotted below.

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Complete question:

Dwayne graphed the equation y=10+×. Which point does the graph not pass through?

Solve for x.
(1/9)^x=27^x/9^2x-1

Answers

Answer:

x=-2

Step-by-step explanation:

Find the scale length of 15cm and 3cm.
Please help if you can thank youuu​

Answers

Answer: 5

the scale length of 15cm and 3cm is 15/3 = 5

Step-by-step explanation:

10.6n - 45.92 = 18.8 solve for n​

Answers

Answer:

Step-by-step explanation:

10.6n - 45.92 = 18.8                    Add 45.92 to both sides

10.6n = 18.8 + 45.92                   Combine like terms on the right

10.6n = 64.72                              Divide by 10.6  

n = 64.72 / 10.6

n = 6.11

Malik had 54 yards rushing. James had -12 yards rushing. How many more yards
does Malik have than James?

Answers

54 + 12 = 66, Answer: 66

Corey, Laura, Paige and Jacob are baking a pumpkin pie. Each of them brings a different ingredient. When the pie is finished, 1/4 of the cinnamon that was brought is left, 1/3 of the nutmeg, 1/2 of the ginger, and 5/8 of the pumpkin remains. Corey's ingredient was used the most. Laura's ingredient was used the least. More of Paige's ingredient was used than Jacob's. Who brought the ginger?

Answers

1/4 cinnamon was left, so 3/4 was used.

1/3 nutmeg was left, so 2/3 was used

1/2 of ginger was left so 1/2 was left

5/8 of pumpkin was left so 3/8 was used.

Corey's was used the most, 3/4 is the largest used, so Corey had the cinnamon.

Laura's was used least, 3/8 is the smallest amount so Laura had the pumpkin.

2/3 is more then 1/2, so there was more ginger used than nutmeg.

More of Paige's was used, so Paige had the ginger.

The formula A = Pe^rt calculates the amount an investment earning a nominal rate of r compounded continuously is worth. Show that the amount of time it takes for the investment to double in value is given by the expression ln2/r.

Answers

Answer:

t = In2/ r

Step-by-step explanation:

Given the formula : A = Pe^rt

For investment to double ;

Final amount (A) = 2 * initial investment (p)

A = 2p

Hence,

2p = pe^rt

2 = e^rt

Take the In of both sides

In2 = rt

Divide both sides by r

In2 /r = rt /r

In2/ r = t

t = In2/ r ; Hence, the proof

The formula for obtaining the time taken when the amount is double the principal is ln2/r.

Given that;

A = Pe^rt

A = amount

P = principal

r = rate

t = time

Now we are told that;

A = 2P

Hence;

2P = Pe^rt

2 = e^rt

ln 2 = rt

t = ln2/r (QED)

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12. In New Mexico, the state sales tax rate is 5.125%. If the price of a digital
camera sold in New Mexico is $294.35 including sales tax, what was the list price
of the digital camera? *



Help me lol I don’t wanna fail .

Answers

Answer:

15.08 if u round but it's really 15.079

your bill is $9.99. you leave a 10% tip. what is the final price of your meal?

Answers

10.10 should be the final price

please give brainliest as i’m trying to get to the next rank.

thanks!!

A recipe calls for 1 1/2 cups of mayonnaise and 3/8 cups of pecans. How much mayonnaise should be used if 1 cup of pecans is used?

Answers

Answer:

4 cups of mayonnaise.

Step-by-step explanation:

The ratio of the amount of pecans comparing reality and the recipe is:

1 : 3/8

= 1/(3/8)

= 8/3

Hence, to find the amount of mayonnaise that should be added:

8/3 * 3/2

= 8/2

= 4 cups

Hope this helped!

find the side length?

Answers

Answer:

4

Step-by-step explanation:

4y+1=5y-3

-1y=-4

y=4

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