SOLUTION: The line through A(x,5) and B(4,3) is perpendicular to a line whose slope is 3/5. Find the value of x.

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Question 60727: The line through A(x,5) and B(4,3) is perpendicular to a line whose slope is 3/5. Find the value of x.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
If m is slope of a line, the perpendicular line
has slope = -(1/m)
m+=+3%2F5
m%5B2%5D+=+-5%2F3
%28y%5B2%5D+-+y%5B1%5D%29+%2F+%28x%5B2%5D+-+x%5B1%5D%29+=+m%5B2%5D
%285-3%29+%2F+%28x+-+4%29+=+-%285%2F3%29
-5%2A%28x-4%29+=+6
-5x+%2B+20+=+6
5x+=+20+-+6
x+=+14%2F5
check it
%285+-+3%29+%2F+%28%2814%2F5%29+-+4%29+=+-5%2F3
6+=+-14+%2B+20
6+=+6
OK