Question

Here's a graph of a linear function. Write the equation that describes that function. (If blurry zoom in.)

Answer 1

Answer:

$y=\frac{1}{4}x+3$

Step-by-step explanation:

we know that

The linear equation in slope intercept form is equal to

$y=mx+b$

where

m is the slope

b is the y-intercept

Find the slope

Take two points from the graph

(0,3) and (4,4)

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute

$m=\frac{4-3}{4-0}$

$m=\frac{1}{4}$

The y-intercept is the point (0,3)

so

$b=3$

substitute

$y=\frac{1}{4}x+3$