Question

Write a function rule for the given graph identify the value of y when x=12

write out the steps

Answer 1

y=8

Explanation:

We need to find the equation for the line.

The first step is to find the slope

We need 2 points (0,2) (2,3)

slope = (y2-y1)/(x2-x1)

= (3-2)/(2-0)

= 1/2

We know the y intercept ( where it crosses the y axis) at 2

Lets use the slope intercept form of the line

y= mx+b

y = 1/2 x+2

If we want to find the value of y when x =12 , substitute the value of x=12

y =1/2 * 12 +2

y = 6+2

y=8