Question

If the line y-7=3(x+5) is dilated with a center at the origin and a scale factor of 4, which of the following equations would describe its image?

Answer 1

When we dilate a line with a scale factor of "a", we change its equation by changing the slope.

The slope gets multiplied by "a".

In the equation given, the slope is "3". After a dilation with a scale factor of 4, the slope would become:

3 * 4 = 12

The equation, after dilation, would be:

`y-7=12(x+5)`