Question

Write the equation of the image of the line y=5x -2 after a dilation with scale factor 3 centered about the origin.

Please show all work on how you got your answer.

Answer 1

y = 5x -6

Explanation:

Dilation does not change the slope, but it moves the y-intercept by the dilation factor. The y-intercept of the original is -2. For the dilated line, the y-intercept will be 3(-2) = -6. The new equation is ...

y = 5x -6

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The graph shows the dilated line in blue. You can see that it is 3 times as far from the origin as the red line.