SOLUTION: the line containing 1,-3 and 3,y is perallel to the line containing 5,-6 and 9,y find the value of y

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Question 1096022: the line containing 1,-3 and 3,y is perallel to the line containing 5,-6 and 9,y find the value of y
Found 2 solutions by Alan3354, MathTherapy:
Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website!
the line containing 1,-3 and 3,y is perallel [sic] to the line containing 5,-6 and 9,y find the value of y
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If they're parallel, they have the same slope.
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Slope, m, = diffy/diffx
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For (1,-3) and (3,y),
m = (-3-y)/1-3 = (y-3)/2
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For (5,-6) and (9,y),
m = (-6-y)/(5-9) = (y+6)/4
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*********** Use parentheses for the points.
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So, (y-3)/2 = (y+6)/4
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Solve for y.

Answer by MathTherapy(10552) (Show Source):
You can put this solution on YOUR website!

the line containing 1,-3 and 3,y is perallel to the line containing 5,-6 and 9,y find the value of y

Line are parallel so slopes are equal. Therefore, we get:

4(y + 3) = 2(y + 6) ------- Cross-multiiplying
4y + 12 = 2y + 12
2y = 0 =====>
That's all!!