SOLUTION: Find the value of y so that the line passing through the two points has the given slope: (0, y), (2, 7); m = 1/2 Thank you, Sam

Algebra ->  Coordinate-system -> SOLUTION: Find the value of y so that the line passing through the two points has the given slope: (0, y), (2, 7); m = 1/2 Thank you, Sam      Log On


   

Question 676968: Find the value of y so that the line passing through the two points has the given slope:
(0, y), (2, 7); m = 1/2
Thank you,
Sam
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
slope is %28y1-y2%29%2F%28x1-x2%29+=+%28y-7%29%2F%280-2%29+=+%28y-7%29%2F-2
...
If, %28y-7%29%2F-2+=+1%2F2, then cross multiply to solve for y
2(y-7) = -2(1)
Distribute the 2
2y - 2(7) = -2
2y - 14 = -2
Isolate the y variable
2y = -2 + 14
2y = 12
highlight_green%28y=6%29
...
check
%286-7%29%2F-2+=+%28-1%29%2F-2+=+1%2F2
.....................
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