Question

point a (1, -9) was dilated to a (2, -18).
what was the scale factor?
(1 point)
the scale factor used to dilate from a to a was
check answer

Explanation:

Step1: Recall the dilation formula

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

Step2: Apply the formula to the x - coordinate

Given the original point \(A(1, - 9)\) and the dilated point \(A'(2, - 18)\). For the \(x\) - coordinate, we have \(k\times1=2\).

Step3: Solve for the scale factor \(k\)

From \(k\times1 = 2\), we can see that \(k = 2\). We can also check with the \(y\) - coordinate: \(k\times(-9)=-18\), substituting \(k = 2\), we get \(2\times(-9)=-18\), which is correct.

Answer:

2