Answer: The slope of C'D' = 2
Step-by-step explanation:
From the given picture, we can that the coordinates of point C and D are (5,4) and (4,2).
After dilation with scale factor of 8 with the origin as the center of dilation , the coordinates of C' and D' will be :-
[tex]C'=(8\times5,8\times4)=(40,32)[/tex]
[tex]D'=(8\times4,8\times2)=(32,16)[/tex]
Now, the slope of line segment C'D' will be
[tex]\text{Slope}=\dfrac{\text{Change in y-coordinate}}{\text{Changein x-coordinate}}\\\\\Rightarrow\text{Slope}=\dfrac{16-32}{32-40}\\\\\Rightarrow\text{Slope}=\dfrac{-16}{-8}\\\\\Rightarrow\text{Slope}=2[/tex]
