Question

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

Answer 1

See the entire solution process below:

Explanation:

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)`