How to do you graph # x+y= -2# by plotting points?

1 Answer
Leland Adriano Alejandro
May 14, 2016

This #x+y=-2# is a linear equation. We only need two points to draw a line. Therefore, set #x=0# then solve for #y# afterwards do the other way around. set #y=0# then solve for #x#.Connect the points.

Explanation:

This is how to do it. From #x+y=-2#

Set #x=0#
#x+y=-2#
#0+y=-2#
#y=-2#

this means we have a point at #(x, y)=(0, -2)#

Now, let us do the other way around

From #x+y=-2#

set #y=0#

#x+y=-2#
#x+0=-2#

#x=-2#

this means we have another point at #(x, y)=(-2, 0)#

We now have two distinct points #(0, -2)# and #(-2, 0)#. We connect these two points using a straight line to draw the graph of #x+y=-2#

graph{y=-1x-2[-5,5,-2.5,2.5]}

God bless ....I hope the explanation is useful.

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