Question

If three points (5,1) , (1,-1) and (m,4) are collinear.Find m​

Answer 1

Answer:

m = 11

Step-by-step explanation:

Since the points are collinear then the slope between points are equal.

Calculate the slope m using the slope formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (5, 1) and (x₂, y₂ ) = (1, - 1)

m = $\frac{-1-1}{1-5}$ = $\frac{-2}{-4}$ = $\frac{1}{2}$

Repeat with

(x₁, y₁ ) = (1, - 1) and (x₂, y₂ ) = (m, 4)

m = $\frac{4+1}{m-1}$ = $\frac{5}{m-1}$ = $\frac{1}{2}$

Cross- multiply

m - 1 = 10 ( add 1 to both sides )

m = 11