Dilation Transformation of a Point
The question asks for the image of the point (-6, -7) after a dilation by a scale factor of 5 centered at the origin.
To compute the image of a point after a dilation centered at the origin, you multiply each coordinate of the point by the scale factor.
Here, the scale factor is 5. Multiply each coordinate of the point (-6, -7) by 5:
- The x-coordinate: -6 * 5 = -30
- The y-coordinate: -7 * 5 = -35
Therefore, the image of the point (-6, -7) after the dilation is (-30, -35).