SOLUTION: the line passing through (7,y) and (1,0) is parallel to the line joining (4,2) and (-2,0) find y.

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Question 348177: the line passing through (7,y) and (1,0) is parallel to the line joining (4,2) and (-2,0) find y.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
Hi,
*Note find the slope of the line with points (4,2) and (-2,0) by using the point-slope formula as parallel lines have the same slope
.
m=%28y%5B2%5D+-+y%5B1%5D%29%2F%28x%5B2%5D+-+x%5B1%5D%29
.
m=%280+-+2%29%2F%28-2+-+4%29
.
m=%281%2F3%29
That is: as y increases by 1, x increases by 3.
.
a line parellel to this: with points (7,y) and (1,0)
(7,2) and (1,0) would be a point on that line (as y increase by 2, x increases by 6)
.
y=2