25 points What is the equation for the line in slope-intercept form

Choose 2 coordinates from the line. Let’s pick (0,0) and (2,16)

The equation of a line is on the form y = mx + b where m is the slope and b is the y-intercept.

First let’s find the slope:

m = (y2-y1)/(x2-x1) = (16-0)/(2-0) = 16/2= 8

So we have y = 8x + b

We substitue one of the coordinates to find b. Let’s substitute (0,0)

We get 0 = 0 + b. So b = 0

The equation of the line is y = 8x