How do you graph #x=-5# by plotting points?

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Answer 1 · 2018-02-25T16:52:10

See a solution process below:

To plot a linear equation we just need to plot 2 points and then draw a straight line through the two points.

#x = -5# indicates for each and every value of #y#; #x# is equal to #-5#.

We can choose any two values for #y# to plot two points:

For: #y = -2#; #x = -5# or #(-5, -2)#

For: #y = 2#; #x = -5# or #(-5, 2)#

We can plot these two points as:

graph{((x+5)^2 + (y+2)^2 - 0.025)((x+5)^2 + (y-2)^2 - 0.025) = 0 [-10, 10, -5, 5]}

We can now draw a straight line through the two points:

graph{(x+5)((x+5)^2 + (y+2)^2 - 0.025)((x+5)^2 + (y-2)^2 - 0.025) = 0 [-10, 10, -5, 5]}

#x = -5# is a vertical line going through #-5# on the horizontal axis.