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

1 Answer
May 30, 2018

Answer:

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]}