SOLUTION: A straight line with a slope of 5 contains the points(1,2) and (3,k) find the value of k

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Question 105032: A straight line with a slope of 5 contains the points(1,2) and (3,k) find the value of k
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A straight line with a slope of 5 contains the points(1,2) and (3,k) find the value of k
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Remember our old friend the "slope formula"
m = %28%28y2+-+y1%29%29%2F%28%28x2+-+x1%29%29
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In your problem:
x1 = 1; y1 = 2
x2 = 3; y2 = k
m = 5
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So we have:
%28%28k+-+2%29%29%2F%28%283+-+1%29%29 = 5
:
%28%28k+-+2%29%29%2F%28%282%29%29 = 5
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Multiply both sides by 2, gets rid of the denominator
k - 2 = 2(5)
k = 10 + 2
k = 12, (y2 = 12)
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Check that in the original equation:
%28%2812+-+2%29%29%2F%28%283+-+1%29%29 = 5; confirms our solution
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