the slope of the line through (1,2) and (x,0) is the negative of the slope through (4,5) and (x,0). find x
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For this problem, you can set up the slope for both lines, and set one equal to the negative of the other.
slope 1 = (0-2) / (x-1) = -2 / (x-1)
slope 2 = (0-5) / (x-4) = -5 / (x-4)
Now set slope 1 = -slope 2
Now cross multiply the proportions.
-2(x-4) = 5(x-1)
Distribute and simplify.
-2x+8 = 5x-5
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