SOLUTION: "A line passing through (a,8) and (-1,7) is perpendicular to a line through (2,-10) and (4,a). What is the value of a?" I need to show my work, but i do not know how to work it out
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Question 567825: "A line passing through (a,8) and (-1,7) is perpendicular to a line through (2,-10) and (4,a). What is the value of a?" I need to show my work, but i do not know how to work it out.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Start with the slope formula:
where )
and )
are the coordinates of the given points.
Create and expression in 
that represents the slope of the first line.
Use the slope formula again to create an expression in that represents the slope of the second line.
Perpendicular lines have slopes that are negative reciprocals. Take one of your expressions in and set it equal to the negative reciprocal of the other one. Then solve for
John
My calculator said it, I believe it, that settles it
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