Question

What is the equation of this line?

Answer 1

Answer:

$y = \frac{2}{3} x$

Step-by-step 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.

$y = mx + b \\ m = \frac{2}{3} \\ b = 0 \\ y = \frac{2}{3} x + 0 \\ y = \frac{2}{3} x$