How do you write an equation in standard form for a line passing through (2, 1) and is perpendicular to x = –2?

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How do you write an equation in standard form for a line passing through (2, 1) and is perpendicular to x = –2?

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Answer 1 · 2015-05-02T21:09:06

#x=-2# represents a vertical line so that a perpendicular line to it will be a perfectly horizontal line passing through #(2,1)#.
A perfectly horizontal line has slope #m=0# (it is not increasing nor decreasing) so you can use your relationship:
#y-y_0=m(x-x_0)# with #m=0# giving:
#y-1=0(x-2)#
So your line has equation: #color(red)(y=1)#

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How do you write an equation in standard form for a line passing through (2, 1) and is perpendicular to x = –2?

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