Question

Find the value of the points (5,1) , (-2,-3) and (8,2m) are collinear

Answer 1

Answer:

m = 19/14  so the third point is (8, 19/7).

Step-by-step explanation:

If they are co-linear then the the  slope will be equal.

The slopes of the lines are:

(difference in y coordinates) / (difference in corresponding x coordinates)

Slope between the first 2 points = (-3-1) / (-2-5) -4 / -7

= 4/7.

So if the 3 points are co-linear:

4/7 = (2m - -3) / (8 - -2)

4/7 = (2m + 3 / 10

7(2m + 3) = 40

14m + 21 = 40

14m = 19.

m = 19/14.