Rotate the following point (- 5, 7) with a 90 degree CCW rotation

Given:

The point is (-5,7).

To find:

The image of the given point after 90 degrees counter clockwise rotation.

Solution:

If a point rotated 90 degrees counter clockwise, then

Let the given point is P(-5,7). Using the above rule, we get

Therefore, the image of the given point after 90 degrees counter clockwise rotation is (-7,-5).

x = -3

y = -18

step-by-step explanation:

to solve by substitution, substitute one variable and solve for the other. then substitute again to find the remaining variable.

x-1/3(3x-9) = -3 since y=3x-9 substittute y.

x-1/3(3x-9)=-3

x + x +3 = -3

2x+3=-3

2x+3-3= -3-3

2x=-6

x=-3

substitute again into y=3x-9

y=3(-3)-9

y=-9-9

y=-18