SOLUTION: If the line containing the points (-8,m) and (2,1) is parallel to the line containing the points (11,-1) and (7,m+1), what is the value of m?

Question 63532: If the line containing the points (-8,m) and (2,1) is parallel to the line containing the points (11,-1) and (7,m+1), what is the value of m?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
If the line containing the points (-8,m) and (2,1) is parallel to the line containing the points (11,-1) and (7,m+1), what is the value of m?
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We know that the slope = (y2-y1)/(x2-x) and parallel lines have equal slopes:
Slope 1 = Slope 2
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Cross multiply and solve for m:
10(m+2) = -4(1-m)
10m + 20 = -4 + 4m
10m -4m = -4 - 20
6m = - 24
m =-24/6
m = -4
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Check to see if they have the same slopes, substitute -4 for m
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Both slopes are +(1/2)
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Make sense to you?

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