find the value of k A (8,1),B(K,-4)and(2,-5) are collinear
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as these points are collinear,they have same slope
A(8,1) and B(k,-4)
slope = y2-y1/x2-x1
= -4-1 / k - 8
= -5 / k -8
B(k,-4) and C( 2,-5)
slope = -5 +4 / 2-k
= -1/ 2-k
Equating both the values of slope
-5/k-8 = -1/ 2-k
-10 + 5k = -k +8
-10 - 8 = -k -5k
-18 = -6 k
k = 3
A(8,1) and B(k,-4)
slope = y2-y1/x2-x1
= -4-1 / k - 8
= -5 / k -8
B(k,-4) and C( 2,-5)
slope = -5 +4 / 2-k
= -1/ 2-k
Equating both the values of slope
-5/k-8 = -1/ 2-k
-10 + 5k = -k +8
-10 - 8 = -k -5k
-18 = -6 k
k = 3
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