Answer:
Please check the explanation.
Step-by-step explanation:
Question 1)
Please note that when a translate any object on the coordinate plane, we are just sliding a figure on the coordinate plane. The shape, orientation, or size do not change.
Hence, if you translate a line up 4 and to the left 2, its image will look like a line that is the same exact length.
Question 2)
Given the original point C(-1, -4) and its image C'(-6, 3).
It is clear that the coordinates of the image C'(-6, 3) is the result of translating the C(-1, -4) to the left 5 and down 7.
So the rule of the translation to the left 5 and down 7 will be:
(x, y) → (x-5, y+7)
C(-1, -4) → (-1-5, -4+7) = C'(-6, 3)
