Question

the figure below has a point marked with a large dot. first, translate the figure 5 units to the right and 7 units up. then, give the coordinates of the marked point in the original figure and the final figure. point in original figure: (\\(\square\\),\\(\square\\)) point in final figure: (\\(\square\\),\\(\square\\))

Explanation:

Step1: Identify original point

The marked point is at $(-1, -7)$ on the grid.

Step2: Apply horizontal translation

Add 5 to the x-coordinate: $-1 + 5 = 4$

Step3: Apply vertical translation

Add 7 to the y-coordinate: $-7 + 7 = 0$

Answer:

Point in original figure: $(-1, -7)$
Point in final figure: $(4, 0)$