SOLUTION: Find the equation for the line that passes through the point (3,-2), and that is perpendicular to the line with the equation x=4.

Question 503990: Find the equation for the line that passes through the point (3,-2), and that is perpendicular to the line with the equation x=4.
Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!
x = 4 is a vertical line.
.
m = slope
m = change in 'y' / change in 'x'
The slope is undefined because there is no change in 'x', which is equivalent to dividing by 0.
.
A line perpendicular to a vertical line is a horizontal line. There is no change in 'y', so its slope is 0.
(It is not undefined. Zero divided by any number from -infinity to +infinity is 0.)
.
For a horizontal line to go through the point (3,-2), we simply set y = -2.
.
Done.
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