SOLUTION: Line m contains (6,8) and (-1,2). Line n contains (-1,5) and (5,y). What is the value of y if line m is perpendicular to line n?

Question 939288: Line m contains (6,8) and (-1,2). Line n contains (-1,5) and (5,y). What is the value of y if line m is perpendicular to line n?
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Line m contains (6,8) and (-1,2). Line n contains (-1,5) and (5,y). What is the value of y if line m is perpendicular to line n?
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slope=(y1-y2)/(x1-x2)
Slope of line m=(6+1)/(8-2)=7/6
Slope of line n=(y-5)/(5+1)=(y-5)/6
Slope of line n=-6/7 (negative reciprocal of slope m)

7(y-5)=-36
7y-35=-36
7y=-1
y=-1/7
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