SOLUTION: In the standard (x, y) coordinate plane, the line that passes through (1, -7) and (-8, 5) is perpendicular to the line that passes through (3, 6) and (-1, b) . What is the value of
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Question 328541: In the standard (x, y) coordinate plane, the line that passes through (1, -7) and (-8, 5) is perpendicular to the line that passes through (3, 6) and (-1, b) . What is the value of b?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Calculate the slope of your first line:
where )
and )
are the coordinates of the given points.
} =\ \frac{-4}{3})
Calculate the slope of your second line:
} =\ \frac{6\ -\ b}{4})
In order for the two lines to be perpendicular, the relationship 
must hold.
So set 
And just solve for 
John
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