Triangle abc is translated to image a′b′c′. in this translation, a(5, 1) maps to a′(6, –2). the coordinates of b′ are (–1, 0). what are the coordinates of b?

for this case we have translations according to the following rule:

(x, y) > (x +1, y - 3) -> (x ', y')

therefore, applying the rule for b' we have:

(x, y) > (x +1, y - 3) -> (-1, 0)

from here, we obtain the following equations:

by clearing the values of the variables we have:

therefore, the coordinates of point b are given by:

answer:

the coordinates of b are: