Answer:
A, C and D
Step-by-step explanation:
Let us find the slope(rate of change ) of each pair of points
The slope formula is
[tex]m = \frac{y_2-y_1}{x_2-x_1} [/tex]
Plug in the points (− 4 ,− 11 ) and (-2 , − 7) to get;
[tex]m = \frac{ - 7 - - 11}{ - 2 - - 4} = \frac{4}{2} = \frac{2}{1} [/tex]
The rate of change of this pair 2:1
For B part, we plug the points ( 5 , 6 ) and ( − 5 , 12 )
[tex]m = \frac{12 - 6}{ - 5 - 12} = \frac{6}{ - 10} = - \frac{3}{5} [/tex]
The rate of change is NOT 2:1
For part C, we plug in ( 0 , − 3 ) and ( − 4 , − 11 )
[tex]m = \frac{ - 11 - - 3}{ - 4 - 0} = \frac{ - 8}{ - 4} = \frac{2}{1} [/tex]
The rate of change of this pair is also 2:1
For part D, we plug in (0 , − 3) and ( 5 , 7 )
[tex]m = \frac{7 - - 3 }{5 - 0} = \frac{10}{5} = \frac{2}{1} [/tex]
This also has rate of change to be 2:1
