finite Mathematics question 8

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If the line passing through the points (a, 2) and (6, 7) is parallel to the line passing through the points (4, 8) and (a + 3, 2), what is the value of a?

Oct 12th, 2015

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The answer :

we know the line pass through (a,2) and  (6,7)  so the equation of the line is : 

y = mx + b  to find  m = (7-2)/(6-a) = 5/(6-a)

ane the other line pass through  (4,8) and (a+3,2) so the equation of the line is : 

y = nx + c   to find n = (8-2)/(4-a-3) = 6/(1-a)  

and we know the two line is parallel so  n = m 

so :  5/(6-a) = 6/(1-a)   

so :  5(1-a) = 6(6-a)   

so:  5 - 5a = 36 - 6a 

so :  6a - 5a = 36 - 5 

so : a = 31 

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Oct 12th, 2015

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