SOLUTION: find the equation of the line that is perpendicular to the line that passes through the points (5,-2) and (-3,14) and passes through (7,9)

Question 664966: find the equation of the line that is perpendicular to the line that passes through the points (5,-2) and (-3,14) and passes through (7,9)
Answer by ReadingBoosters(3246) (Show Source): You can put this solution on YOUR website!
Perpendicular lines have a negative reciprocal slope.
...
First, find the slope of the line through (5, -2) and (-3, 14)
slope =
...
The negative reciprocal slope for the perpendicular line is
...
Using the slope and the coordinates (7, 9), solve for y-intercept following
y=mx+b
9 = 7 + b
b = 9 - 7 = - =
The linear equation for the perpendicular line that passes through (7, 9) is:

...
Red line --> line through (5, -2) and (-3, 14)
Green line --> perpendicular line through (7, 9)

.....................
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