Question - Dilation of a Point with Scale Factor and Origin
Solution:
To find the image of a point after a dilation with a scale factor, you multiply each coordinate of the original point by the scale factor. When the dilation is centered at the origin (0, 0), this operation is straightforward.The original point is (-6, 7), and the scale factor is 5. Therefore, you multiply each coordinate of the point by the scale factor:New x-coordinate: -6 * 5 = -30New y-coordinate: 7 * 5 = 35So the image of the point (-6, 7) after dilation by a scale factor of 5, centered at the origin, is (-30, 35).
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