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

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Answer 1 · 2018-06-02T19:16:07

$x = 0$ $x=0$

$y = 0$ $y=0$

Set x to 0 to find the y-intercept:

$10 x = - 5 y$ $10x=-5y$

$10 (0) = - 5 y$ $10(0)=-5y$

$0 = - 5 y$ $0=-5y$

$y = 0$ $y=0$

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.

$10 x = - 5 y$ $10x=-5y$

$10 x = - 5 (0)$ $10x=-5(0)$

$10 x = 0$ $10x=0$

$x = 0$ $x=0$

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

$y = m x + b$ $y=mx+b$

$10 x = - 5 y$ $10x=-5y$

$- 5 y = 10 x$ $-5y = 10x$

$y = - 2 x$ $y=-2x$

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

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

How do you graph 10x=−5y10x=-5y using the x and y intercepts?