The point L(-2, -6) is rotated 90° counterclockwise around the origin. What are the coordinates of the resulting point, L′?

i dont know the answer but here's a picture of a dog

answer: your answer is a

i think the answer is b x = 1, y = 35/2

a and c

for infinitely many solutions we require both left and right sides to be equal

distribute and simplify

a

14 - 8x = 20 - 8x - 6 = 14 - 8x ← both sides equal so infinite solutions

b

6x - 54 = 6x - 54 + x = 7x - 54 ← not equal

c

4x + 16 = 4x + 10 + 6 = 4x + 16 ← both sides equal so infinite solutions

d

5x - 40 + 10 = 5x + 10

5x - 30 = 5x + 10 ← not equal