Question

Using graph paper, determine the line described by the given point and slope. Click to show the correct graph below.

Answer 1

When you know the coordinates of a point and the slope of a line, you can use the formula

$y-y_0=m(x-x_0)$

in your case, $(x_0,y_0)=(0,0)$ and $m=\frac{2}{3}$, so you have

$y-0=\dfrac{2}{3}(x-0) \iff y=\dfrac{2}{3}x$