# How do you graph 10x=-5y using the x and y intercepts?

Jun 2, 2018

$x = 0$

$y = 0$

#### Explanation:

Set x to 0 to find the y-intercept:

$10 x = - 5 y$

$10 \left(0\right) = - 5 y$

$0 = - 5 y$

$y = 0$

Now set y to 0 to solve for x, or you can notice that since the y-intercept is 0 and this is an equation for a line, the x-intercept must also be 0.

$10 x = - 5 y$

$10 x = - 5 \left(0\right)$

$10 x = 0$

$x = 0$

Since both intercepts are the same you need the slope to graph it, put it in slope intercept form:

$y = m x + b$

$10 x = - 5 y$

$- 5 y = 10 x$

$y = - 2 x$

so your slope $m = - 2$ now graph:

graph{10x=-5y [-10, 10, -5, 5]}