A preimage includes a line segment of length x and slope m. If the preimage is dilated by a scale factor of n, what are the length and slope of the corresponding line segment in the image?

length = nx, slope = nm

length = nx, slope = m

length = x, slope = m

length = x, slope = nm

length = (n + m)x, slope = nm

Question

A preimage includes a line segment of length x and slope m. If the preimage is dilated by a scale factor of n, what are the length and slope of the corresponding line segment in the image?

    length = nx, slope = nm

    length = nx, slope = m

    length = x, slope = m

    length = x, slope = nm

    length = (n + m)x, slope = nm

anonymous · Answer

@Rachella

anonymous · Answer

Do you have any ideas on what your answer could possibly be?

anonymous · Answer

well kinda i think it would be either A or C

anonymous · Answer

In this situation you can replace n with any number you want.

anonymous · Answer

so i can replace n with a number what about m?

anonymous · Answer

M is your slope, so m stays the same.

anonymous · Answer

oh okay gotcha

anonymous · Answer

The scale factor makes the length go from x to nx (n times x). Then your slope stays the same. So now, do you have any idea what your answer will be?

anonymous · Answer

yea hold on

anonymous · Answer

B. is that correct

anonymous · Answer

Yep! You're answer is correct because the slope will not change. A dilation has the effect of stretching or shrinking the line segment by the factor of n. So the length of the new image would be nx and the slope is m.

anonymous · Answer

yay i got it right thank you (:

anonymous · Answer

My pleasure! :)