Question

the figure below has a point marked with a large dot. first, translate the figure 5 units to the left and 7 units down. then, give the coordinates of the marked point in the original figure and the final figure.

Explanation:

Step1: Find original coordinates

From the graph, the marked point is at \( (7, 4) \) (x=7, y=4).

Step2: Apply translation (left 5, down 7)

For x - coordinate: \( 7 - 5 = 2 \)
For y - coordinate: \( 4 - 7 = - 3 \)

Answer:

Point in original figure: \( (7, 4) \)
Point in final figure: \( (2, -3) \)