Question

question
what is the image of $(2,-10)$ after a dilation by a scale factor of $\frac{1}{2}$ centered at the origin?
answer attempt 1 out of 2
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Explanation:

Step1: Recall the formula for dilation

For a point \((x,y)\) dilated by a scale factor \(k\) centered at the origin, the new point is \((kx,ky)\).

Step2: Substitute the values

Here \(x = 2\), \(y=-10\) and \(k=\frac{1}{2}\).
So, \(kx=\frac{1}{2}\times2 = 1\) and \(ky=\frac{1}{2}\times(- 10)=-5\).

Answer:

$(1, - 5)$