Question

if (3,-6) (8,k) and(6,-5) are collinear find the value of k (using slope formula)

Answer 1

Answer:

Three points are collinear if they lie on the same line.

Here,

A: (3,-6)

B: (6,-5)

C: (8,k)

are collinear, so the slope of AB and BC must be equal.

Slope of AB = -5-(-6) = 1

6-3 3

Slope of BC = k-5 = 5-k

8-6 2

Thus,

5-k = 1

2 3

5-k = 1

-k = 1-5

-k = -4

k = 4

the answer is 4.