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determine the value of a that will make the slope of the line through the two given points equal to the given value of m..
a.(4,-3) and (2,a); m=1/4
b(a+3,5),(1,a-2);m=4


Sagot :

1.(y2-y1)/(x2-x1)=1/4
(a+3)/(2-4)=1/4
4[(a+3)/-2=1/4]
-2a-6=1
-2a=7
a=-3.5 or -7/2

2.(y2-y1)/(x2-x1)=m
(1-a)[(a-2-3.5)/(1-a)=4]
a-5.5=4-4a
5a=9.5
a=1.9

Hope this helps =)