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

Algebra ->  Length-and-distance -> 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      Log On


   



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) About Me  (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.



Calculate the slope of your second line:



In order for the two lines to be perpendicular, the relationship must hold.



So set

And just solve for

John