# How do you graph the equation 5x-6y=36?

May 7, 2017

Plot the two intercepts: $\left(7.2 , 0\right) \mathmr{and} \left(0 , - 6\right)$ and draw a straight line through them.

#### Explanation:

If an equation is given in standard form: $a x + b y = c$, the easiest way to draw the graph is to use the 'intercept method'

All along the $x$-axis, the $y$-value is $0$ and
all along the $y$-axis, the $x$-value is $0$.

To find the $x$-intercept, make $y = 0$

To find the $y$-intercept, make $x = 0$

The $x$-intercept: $\text{ "5x - 0 = 36" } \rightarrow x = 7.2$

The $y$-intercept:$\text{ "0-6y=36" } \rightarrow y = - 6$

Plot the two intercepts: $\left(7.2 , 0\right) \mathmr{and} \left(0 , - 6\right)$ and draw a straight line through them.