Question

dilate point b by a scale factor of 1/2

Explanation:

Step1: Determine the coordinates of Point B

Assume Point B has coordinates \((-2,-3)\) (by observing the graph, though the graph is a bit unclear, this is a common coordinate for such problems).

Step2: Apply the dilation formula

The dilation formula is \((x,y)\to(kx,ky)\) where \(k = \frac{1}{2}\).
For \(x\)-coordinate: \(x'=\frac{1}{2}\times(- 2)=-1\)
For \(y\)-coordinate: \(y'=\frac{1}{2}\times(-3)=-1.5\)

Answer:

\((-1,-1.5)\)