##### finite Mathematics question 8

 Mathematics Tutor: None Selected Time limit: 1 Day

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

Thank you for the opportunity to help you with your question!

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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Oct 12th, 2015
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Oct 12th, 2015
Dec 6th, 2016
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