How do you write an equation for the line parallel to the line #-5/3x=1# through the point #(3, -6)#?

1 Answer
smendyka
Jul 21, 2017

See a solution process below:

Explanation:

Because the equation in the problem has no #y# term this equation is, by definition a vertical line. Therefore, a line parallel to the line represented by this equation is also a vertical line.

A vertical line has the same value for #x# for each and every value of #y#.

The value of #x# in the point from the problem is #x = 3#

Therefore, the equation for the vertical, parallel line is:

#x = 3#

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