Question

What is the equation of this line?

Answer 1

`y = (2)/(3) x`

Explanation:

let's first collect some data from the graph...

1. The line passes through the origin, so the y intercept equals 0

2. we now look for two points where the graph intersects. as established in number one it passes through point (0,0). from there we can go up the y-axis 2 spaces and to the right along the x-axis 3 spaces. this will give us our slope m rise over run or ⅔. That's enough information to write the equation of our line.

`y = mx + b \\ m = (2)/(3) \\ b = 0 \\ y = (2)/(3) x + 0 \\ y = (2)/(3) x`