y=-3/4x-9/2 is the equation of a line that goes through both transformed points.
What is Graph?
Graph is a mathematical representation of a network and it describes the relationship between lines and points.
we must translate the given point (x,y) into the translation given. We begin with the 90 degree clockwise rotation such that
90 degree clockwise rotation = (x, y) => (y, -x)
we translate the coordinate (y, -x)
2 units to the right such that
(y-4, -x - 2)
So the coordinate of points changed (1,2) and (-4,6) from (-2, -3) and (2, -6)
m=-6-(-3)/2-(-2)
m=-3/4
Now let us find the y intercept.
-3=-3/4(-2)+b
-3=3/2+b
-3-3/2=b
-9/2=b
Hence, y=-3/4x-9/2 is the equation of a line that goes through both transformed points.
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