How do you graph 3x-4y=-12 using the intercepts?

May 3, 2016

If you know the $x -$ and $y -$intercepts of a line you can draw the line passing through them.

Explanation:

All along the $x -$axis, $y$ = 0. All along the $y -$axis, $x$ = 0.

To find the $x$ intercept, make $y$ = 0 and solve for $x$.
To find the $y$ intercept, make $x$ = 0 and solve for $y$.

In this example:

For the $x$ intercept, $3 x - 4 \left(0\right) = - 12$ $\Rightarrow x = - 4$

For the $y$ intercept, $3 \left(0\right) - 4 y = - 12$ $\Rightarrow y = 3$ graph graph{y = 3x/4 +3 [-10, 10, -5, 5]}

Draw the line through these points.