What is the function rule for the line?

f(x)=23x−2

f(x)=32x+2

f(x)=32x−2

f(x)=−23x−2

Find the slope of the line by using two points on the line.

Using (0,-2) and (3,0)

The slope is the change in Y over the change in x:

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

The y intercept is where the line crosses Y at  = 0, from the picture when X is 0 the line crosses at -2.

The equation becomes 2/3x -2

The answer is: f(x)=2/3x−2

-22

times both sides by 2, times () by 8, add alile terms, move terms, add alike and caculate divide both sides by 3