Point P divides the line segment joining the points A(2,1) and B(5,-8) such that AP : AB= 1 : 3 . If P lies on the line 2x-y+k=0 , then find the value of k.
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Answer:
for p
x=((1*5)+(2*2))/3 y=((1*-8)+(2×1))/3
x=9/3 y=-6/3
x=3 y=-2
Step-by-step explanation:
put the value of p(x,y) in the equation 2x-y+k=0
through which p pass,we get the value of k.
2x-y+k=0
(2×3)-(-2)+k=0
6+2+k=0
8+k=0
k= -8
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