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


(Express it in slope-intercept form.)

Heres a graph of a linear function Write the equation that describes that function If blurry zoom in Express it in slopeintercept form class=

Respuesta :

Answer:

[tex]y=\frac{1}{4}x+3[/tex]

Step-by-step explanation:

we know that

The linear equation in slope intercept form is equal to

[tex]y=mx+b[/tex]

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

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

substitute

[tex]m=\frac{4-3}{4-0}[/tex]

[tex]m=\frac{1}{4}[/tex]

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

so

[tex]b=3[/tex]

substitute

[tex]y=\frac{1}{4}x+3[/tex]