Question

If point A (-5, 4) is transformed by the rule (x, y)-(x - 5, y + 3), what are the coordinates of A?

a) (-5, 4)
b) (0, 7)
c) (5, 1)
d) (0, 0)

Answer 1

After the transformation, the coordinates of point A (-5, 4) become (-10, 7).

Step-by-step explanation:

To find the coordinates of point A after the transformation, we substitute the values of x and y into the rule. Given that point A is (-5, 4), we substitute x = -5 and y = 4 into the rule (x, y) - (x - 5, y + 3).

For the x-coordinate, we have: x - 5 = -5 - 5 = -10.

For the y-coordinate, we have: y + 3 = 4 + 3 = 7.

Therefore, the coordinates of A after the transformation are (-10, 7).