Question

1. the coordinates of point r are (-3,5) . what are the coordinates of r under a dilation about the origin with a scale factor of 6 ?

Explanation:

Step1: Recall dilation rule

To dilate a point \((x,y)\) about the origin with scale factor \(k\), we multiply each coordinate by \(k\), so the new point is \((kx,ky)\).

Step2: Apply the rule to point \(R(-3,5)\)

For \(x = - 3\) and \(k=6\), the new \(x\)-coordinate is \(6\times(-3)=-18\).
For \(y = 5\) and \(k = 6\), the new \(y\)-coordinate is \(6\times5 = 30\).

Answer:

The coordinates of \(R'\) are \((-18,30)\)