Question

how do i change this so i can graph it.
2x + 3y = -6

Answer 1

No changing needed. Plug in \(x=0\) and find the value of \(y\). Make a dot at \((0,y)\).
Plug in \(y=0\) and find the value of \(x\). Make a dot at \((x,0)\). Now draw a straight line through those points. You're done!

However, if you wanted to do it the more tedious way, solve the equation for \(y\) in terms of \(x\):

\[2x+3y=-6\]subtract \(2x\) from each side:
\[2x-2x+3y = -6-2x\]\[3y=-6-2x\]divide each side by \(3\):\[\frac{3y}y = \frac{-6-2x}{3}\]\[y = -\frac{2}{3}x-2\]