Question

How do you graph the equation `y+x=-5` by plotting points?

Answer 1

Refer to the explanation.

Explanation:

Graph:

`y+x=-5`

Rearrange to standard form: `Ax+By=C`.

`x+y=-5`

We only need two points to graph a linear equation. With the standard form, we can easily determine the x- and y-intercepts, and then plot them.

X-intercept: value of `x` when `y=0`

Substitute `0` for `y` in the equation and solve for `x`.

`x+0=-5`

`x=-5`

The x-intercept is `(-5,0)`.

Y-intercept: value of `x` when `y=0`.

Substitute `0` for `x` and solve for `y`.

`0+y=-5`

`y=-5`

The y-intercept is `(0,-5)`.

Plot the x- and y-intercepts and draw a straight line through the points.

graph{x+y=-5 [-10, 10, -7.6, 2.4]}