algebra question with slope

label Mathematics
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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

Oct 3rd, 2015

Thank you for the opportunity to help you with your question!

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



Please let me know if you need any clarification. I'm always happy to answer your questions.
Sep 15th, 2015

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