SOLUTION: The line passing through (-4, 2) and (2, -3) is perpendicular to the line passing through (a, 5) and (2, -1). Find a.

Algebra ->  Linear-equations -> SOLUTION: The line passing through (-4, 2) and (2, -3) is perpendicular to the line passing through (a, 5) and (2, -1). Find a.      Log On


   



Question 894638: The line passing through (-4, 2) and (2, -3) is perpendicular to the line passing through (a, 5) and (2, -1). Find a.
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The product of the slopes must be -1.

%28%28-3-2%29%2F%282-%28-4%29%29%29%28%285-%28-1%29%29%2F%28a-2%29%29=-1
%285%2F2%29%286%2F%28a-2%29%29=-1
%285%2A6%29=-1%2A%282%28a-2%29%29
30=-2%28a-2%29
-15=a-2
a=-15%2B2
highlight%28a=-13%29

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

The line passing through (-4, 2) and (2, -3) is perpendicular to the line passing through (a, 5) and (2, -1). Find a.

highlight_green%28a+=+7%29
You can do the check!!
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