SOLUTION: The line a(12,x) and b(x,8) has a slope of -3/7 what is the value of x. How do I find it?

Algebra ->  Linear-equations -> SOLUTION: The line a(12,x) and b(x,8) has a slope of -3/7 what is the value of x. How do I find it?       Log On


   



Question 833053: The line a(12,x) and b(x,8) has a slope of -3/7 what is the value of x. How do I find it?

Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
You find it by using the formula for slope.

Given points on a plane, points being (p,r) and (u,v), the slope is vertical change divided by horizontal change: highlight_green%28%28r-v%29%2F%28p-u%29%29

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
The line a(12,x) and b(x,8) has a slope of -3/7 what is the value of x. How do I find it?
We will change coordinate point a from (12, x) to (12, X), and coordinate point b from (x, 8) to (X, 8)
to avoid confusion
Formula for slope, or m+=+%28y%5B1%5D+-+y%5B2%5D%29%2F%28x%5B1%5D+-+x%5B2%5D%29, where:
y%5B1%5D+=+X
y%5B2%5D+=+8
x%5B1%5D+=+12
x%5B2%5D+=+X
Therefore, m+=+%28y%5B1%5D+-+y%5B2%5D%29%2F%28x%5B1%5D+-+x%5B2%5D%29 becomes: -+3%2F7+=+%28X+-+8%29%2F%2812+-+X%29
7(X - 8) = - 3(12 - X) ------ Cross-multiplying
7X - 56 = - 36 + 3X
7X - 3X = - 36 + 56
4X = 20
X+=+20%2F4, or highlight_green%285%29
You can do the check!!
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