SOLUTION: Hi my name is Tim and i have a problem about lines and points. 15. Find the value of p if the line joining the points (3, -6) and (p, 10) is perpendicular to the line 2x-5y=7 .

Question 99759: Hi my name is Tim and i have a problem about lines and points.
15. Find the value of p if the line joining the points (3, -6) and (p, 10) is perpendicular to the line 2x-5y=7 .
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find the value of p if the line joining the points (3, -6) and (p, 10) is perpendicular to the line 2x-5y=7 .
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2x-5y=7 has a slope of 2/5
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Slope of the two points is [10--6]/[p-3]= 16/(p-3)
That slope must equal -5/2.
EQUATION:
16/(p-3 = -5/2
p-3 = (-2/5)16
p-3 = -6.4
p = -3.4
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Cheers,
Stan H.
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