How do you find the x and y intercepts of $y+7=-2x$ ?

Question

2436 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-04-25T02:48:16

See the entire solution process below:

x-intercept:

Substitute $color(red)(0)$ for $color(red)(y)$ in the equation and solve for $x$ :

$color(red)(y) + 7 = -2x$ becomes:

$color(red)(0) + 7 = -2x$

$7 = -2x$

$7/color(red)(-2) = (-2x)/color(red)(-2)$

$-7/2 = (color(red)(cancel(color(black)(-2)))x)/cancel(color(red)(-2))$

$-7/2 = x$

$x = -7/2$

The x-intercept is $-7/2$ or $(-7/2, 0)$

y-intercept:

Substitute $color(red)(0)$ for $color(red)(x)$ in the equation and solve for $y$ :

$y + 7 = -2color(red)(x)$ becomes:

$y + 7 = (-2 * color(red)(0))$

$y + 7 = 0$

$y + 7 - color(red)(7) = 0 - color(red)(7)$

$y + 0 = -7$

$y = -7$

The y-intercept is $-7$ or $(0, -7)$

How do you find the x and y intercepts of y+7=-2xy+7=-2x?