Question

2. Given that the points A, B and C have the coordinates A (0, 6), B (5, 11) and C (2, 3). Find the gradients of AB, AC and BC. Are the three points collinear?

Answer 1

co-linear? not even close

Answer 2

the gradients/slopes are point-point and put y/x

Answer 3

0, 6
-5,-11
------
-5, -5; slope = -5/-5 = 1

Answer 4

2,3
-0,-6
------
2,-3 ; slope = y/x = -3/2

Answer 5

5,11
-2,-3
------
3,8 ; slope = y/x = 8/3

Answer 6

since they have different slopes; they are not linear at all

Answer 7

oh okay thanks so much!