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

May 30, 2018

Refer to the explanation.

Explanation:

Graph:

$y + x = - 5$

Rearrange to standard form: $A x + B y = C$.

$x + y = - 5$

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 $\left(- 5 , 0\right)$.

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 $\left(0 , - 5\right)$.

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

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