Answer:
D. 2
Step-by-step explanation:
For a linear equation, the rate of change between any given two point on the line is always constant and the same.
Therefore, since rate of change between point A and point B is said to be 2, therefore, the rate of change between point C and D would be the same as 2.
We can confirm this by using this formula to calculate the rate of change, which is: [tex] \frac{y_2 - y_1}{x_2 - x_1} [/tex]
Let,
[tex] C(1, 2) = (x_1, y_1) [/tex]
[tex] D(2, 4) = (x_2, y_2) [/tex]
Plug in the values into the formula:
[tex] = \frac{4 - 2}{2 - 1} = \frac{2}{1} = 2 [/tex]
As we can see, the rate of change between point C and point D is still the same as the rate of change between point A and point B = 2
