SOLUTION: 1)if the line passing through the points (2,a) and (5,-3) is parallel to the line passing through the points (4,8) and (-5,a+1), what is the value of a? 2) determine the value of

Question 729602: 1)if the line passing through the points (2,a) and (5,-3) is parallel to the line passing through the points (4,8) and (-5,a+1), what is the value of a?
2) determine the value of k for which the system of linear equations has no solution
2x-y=3
4x+ky=5
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
(2,a) and (5,-3)
slope
=(-3-a)/2
is parallel to the line passing through the points
(4,8) and (-5,a+1)
slope
=
the lines are parallel so the slopes are equal

-9(-3-a)=2(a-7)
27+9a=2a-14
7a=-41
a=-41/7
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