Final answer:
The coordinates of point C' after a dilation with a scale factor of 3/5 are (6, -9), as each original coordinate of point C (10, -15) is multiplied by the scale factor.
Step-by-step explanation:
When point C (10, -15) is dilated using a scale factor of 3/5, each coordinate of point C is multiplied by the scale factor to find the coordinates of C'. To calculate the dilated coordinates, you multiply the x-coordinate (10) and the y-coordinate (-15) by the scale factor (3/5).
The new x-coordinate (C'x) will be: 10 * (3/5) = 6
The new y-coordinate (C'y) will be: -15 * (3/5) = -9
Therefore, the coordinates of C' after the dilation will be (6, -9).