SOLUTION: Find the Value of r so the line that passes through each pair of points has the given slope. (-4,3), (r,5), M=1/4 This is the formula that I am supposed to use Y2-Y1/X2-X1 Th

Algebra ->  Linear-equations -> SOLUTION: Find the Value of r so the line that passes through each pair of points has the given slope. (-4,3), (r,5), M=1/4 This is the formula that I am supposed to use Y2-Y1/X2-X1 Th      Log On


   

Question 665246: Find the Value of r so the line that passes through each pair of points has the given slope.
(-4,3), (r,5), M=1/4
This is the formula that I am supposed to use Y2-Y1/X2-X1
This is what I have -2/-4-r, but I do not know where to go from here
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
Slope is as you state %28Y2-Y1%29%2F%28X2-X1%29+=+%281%2F4%29
So, using (-4,3) and (r,5)
%285-3%29%2F%28r-%28-4%29%29+=+%281%2F4%29
Yielding
2%2F%28r%2B4%29+=+%281%2F4%29
Multiply both sides by (r+4)
%282%2Fcross%28r%2B4%29%29%2Across%28r%2B4%29+=+%281%2F4%29%2A%28r%2B4%29
Yields
2 = %28r%2B4%29%2F4
Multiply both sides by 4
Yields
8 = r+4
Subtract 4 from both sides
r = 4
...
check by plugging r into the coordinates
(-4, 3) and (4, 5)
slope = %285-3%29%2F%284-%28-4%29%29+=+%282%2F8%29+=+%281%2F4%29
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