Question

What is the equation of the graphed line written in

Answer 1

We can see that the y-intercept of the line is $-2$ and its slope is $-\frac{2}{3}$ since to get from $(-3,0)$ to $(0,-2)$ we have to run by $3$ units to the right and rise by $2$ units down. The the equation of your line in slope-intercept form is $y = -\frac{2}{3}x -2$. All we have to do now is to rewrite it in standard form.

$y = -\frac{2}{3}x -2\\ 3(y) = (-\frac{2}{3}x -2)3 \\ 3y = -2x -6 \\ 2x +3y = -2x -6 +2x \\ 2x +3y = -6$

Answer:

$2x +3y = -6$