Answer:
[tex]P" = (-1,7)[/tex]
Step-by-step explanation:
Given
[tex]Point - (-7,5)[/tex]
90 degrees clockwise rotation
6 points left translation
Required
The new point
Apply the first transformation
90 degrees clockwise transformation
When a point P (x,y) is rotated in the clockwise direction by 90 degrees, the new point is: P' (y, -x)
So:
[tex]P = (-7,5)[/tex] becomes
[tex]P' = (5,7)[/tex]
Apply the second transformation
6 points left translation
To do this, we simply subtract 6 from the x coordinate
[tex]P' = (5,7)[/tex] becomes
[tex]P" = (5-6,7)[/tex]
[tex]P" = (-1,7)[/tex]
