Answer:
y = 3/2x -3
Explanation:
You want the equation of the line y = 3/2x -4 after it has been dilated by a factor of 3/4 about the origin.
Dilation
Dilation is a transformation that preserves angles and orientation, but changes the distance of each point from the center of dilation. This means the slope of the line is not changed, but the y-intercept is multiplied by the dilation factor:
y = 3/2x -(3/4)(4)
y = 3/2x -3 . . . . . . . . dilated line
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