SOLUTION: A line passing through (-4,4) and (x,-8) is perpendicular to a line with slope 5/12, Find the value of x
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Question 243523: A line passing through (-4,4) and (x,-8) is perpendicular to a line with slope 5/12, Find the value of x
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Remember that the perpendicular slope is the negative reciprocal of the original slope. So flip to get and change the sign to get . So the perpendicular slope is
Start with the slope formula.
Plug in , , , , and
Rewrite as
Combine like terms.
Cross multiply.
Distribute
Multiply
Add to both sides.
Combine like terms on the right side.
Divide both sides by to isolate .
Reduce.
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Answer:
So the solution is
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