Ab is dilated by a scale factor of 3 to form a'b' . point o, which lies on ab , is the center of dilation. the slope of ab is 3. the slope of a'b' is . through point o.

The slope will remain the same, So the slope of will be .

Step-by-step explanation:

Given: is dilated by a scale factor of to form . Point , which lies on , is the center of dilation. The slope of is .

As mentioned in question:

Given that has been dilated by scale factor to form .

So using laws of dilation, the image is congruent to the pre image.

This implies that the image will not change in any way whatsoever apart from the size.

Hence, the slope will remain the same, So the slope of will be .

Learn more about laws of dilation here: link