Answer:
Options A, C, D are true.
Step-by-step explanation:
We have to choose the pair of points from that given in the attached file which will result in a line with a rate of change i.e. slope of 2:1 i.e. 2.
A. The points are (-4,-11) and (-2,-7).
Then the slope of the joining line is ![\frac{-7-(-11)}{-2-(-4)} =2](https://tex.z-dn.net/?f=%5Cfrac%7B-7-%28-11%29%7D%7B-2-%28-4%29%7D%20%3D2)
B. The points are (5,6) and (-5,12).
Then the slope of the joining line is ![\frac{12-6}{-5-5} =-\frac{3}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B12-6%7D%7B-5-5%7D%20%3D-%5Cfrac%7B3%7D%7B5%7D)
C. The points are (0,-3) and (-4,-11).
Then the slope of the joining line is ![\frac{-11-(-3)}{-4-0} =2](https://tex.z-dn.net/?f=%5Cfrac%7B-11-%28-3%29%7D%7B-4-0%7D%20%3D2)
D. The points are (0,-3) and (5,7).
Then the slope of the joining line is ![\frac{7-(-3)}{5-0} =2](https://tex.z-dn.net/?f=%5Cfrac%7B7-%28-3%29%7D%7B5-0%7D%20%3D2)
Therefore, options A, C, D are true. (Answer)