If the points A(-2,-5), B(2,-2) and C(8,a) are collinear , then a =

Options

A. `-5//2`
B. `5//2`
C. `3//2`
D. `1//2`

Answer

B

Explanation

Since A,B,C are collinear points .
`therefore ` Slope of AB=Slope of AC `implies (3)/(4)=(a=5)/(10)implies a=(5)/(2)`