The scale factor of the given dilation transformation is calculated as; 1/2
<h3>How to use the scale of dilation?</h3>
We know that from transformation that a dilation is a non - rigid transformation that produces similar figures.
If two lines are similar, then the lines are parallel and parallel lines always have the same slope.
Thus;
Line A has the formula; 2y = x + 8
Writing it in slope intercept form gives us;
y = 0.5x + 4 ------(1)
Thus;
slope of the line A is m = 0.5
y-intercept of the line A is b = 4
Line B has the equation;
y - ¹/₂x = 2
Rearranging in Slope Intercept form gives us;
y = ¹/₂x + 2
Thus;
slope of the line B is m = 0.5
y-intercept of the line B is b = 2
Now, it should be noted that the y-intercept of line A multiplied by the scale factor k must be equal to the y-intercept of line B. Thus;
4k = 2
k = 2/4
k = ¹/₂
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