Mathematics: Which equation matches the graph? points: (0,2) (3,3) a. y=1/3x+2 b. y=3x c. y=1/3x d .y=3x+2

Which equation matches the graph? points: (0,2)

jalenJohnson6t

12.02.2021

Step-by-step explanation:

Slope is change in y over change in x. Using the two points:

$\frac{3-2}{3-0}$

The slope is 1/3. This rules out B and D.

Let's put what we know into y = mx+b form.

$y=\frac{1}{3}x+b$

Use any of the two points and substitute into the equation, I will use (3,3):

$3=\frac{1}{3}\left(3\right)+b$

1+b=3

b = 2.

Plug back into equation to get:

$y=\frac{1}{3}x+2$

Which is A.

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Bmurphy17

03.04.2022

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