What are the x-intercept and the y-intercept of the graph of $y=-1/2x-5$ ?

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Answer 1 · 2016-12-15T15:49:24

The y-intercept is $-5$ or $(0, -5)$

The x-intercept is $-10$ or $(-10, 0)$

Because this equation is in slope-intercept form:

$y = mx + c$ where $m$ is the slope and $c$ is the y-intercept of $(0, c)$ .

So for this problem the y-intercept is $-5$ or $(0, -5)$

To find the x-intercept we need to set $y$ to $0$ and solve for $x$ :

$0 = -1/2x - 5$

$0 + 5 = -1/2x - 5 + 5$

$5 = -1/2x - 0$

$5 = -1/2x$

$5 xx -2 = -1/2x xx -2$

$-10 = (-2)/(-2)x$

$-10 = 1x$

$-10 = x$

What are the x-intercept and the y-intercept of the graph of y=-1/2x-5y=-1/2x-5?