Question

determine if the points 3, 1 6, 4 and 8, 6 are collinear​

Answer 1

Answer:

points are colinear

Step-by-step explanation:

points are

3,1

6,4

8,6

will be colinear if slopes would be same

3,1 & 6,4

slope = (4-1)/(6-3)= 3/3 =1

3,1 & 8,6

slope = (6-1)/(8-3) = 5/5 = 1

6,4 & 8,6= (6-4)/(8-6) = 2/2 = 1

slope is same so these points are colinear

another method

find area and it should be zero for colinear points.

3,1. ,. 6,4. ,8,6

= (1/2) ( 3(4-6) + 6(6-1) + 8(1-4))

= (1/2)(-6 + 30 -24)

= 0

hence points are colinear