What is the image of (4, -12) after a dilation by a scale factor of 1/4 centered at the origin?
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Answer:
The answer is 2.
2 since 6/4=3/2
Step-by-step explanation:
Since your relation is a direct variation then the points on your line are of the form y=kx where k is the constant of variation (also called constant of proportionality)
If y=kx then y/x=k.
So all the points in this relation since it is a direct variation will be equal to y-coordinate/x-coordinate.
So we are going to solve this proportion:
Again I put y/x from each point. They should have same ratio because this is a direct variation.
Cross multiply:
Divide boht sides by 6: