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Verified answer
(y-y1)/(y2-y1)=(x-x1)/(x2-x1)(4-1)/(5-1)=(a-3)/(-2-3)
3/4=(a-3)/(-5)
4(a-3)=(3)(-5)
4(a-3)=-15
a-3=-15/4
a=3-(15/4)
a=(12/4)-(15/4)
a= -3/4