Question

polygon abcde is dilated by a scale factor of 3, with the center of dilation at the origin, to create polygon abcde.

if the endpoints of \\(\overline{bc}\\) are b(3,5) and c(5,10), what is the slope of \\(\overline{bc}\\)?

type the correct answer in the box. use numerals instead of words. round any decimal answers to the nearest tenth.

\\(m =\\)

Explanation:

Calculate the slope of the original segment BC

$$ m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{10 - 5}{5 - 3} = \frac{5}{2} = 2.5 $$

Determine the slope of the dilated segment B'C'

$$ m_{B'C'} = m_{BC} = 2.5 $$

Answer:

Polygon \(ABCDE\) is dilated by a scale factor of 3, with the center of dilation at the origin, to create polygon \(A'B'C'D'E'\). If the endpoints of \(\overline{BC}\) are \(B(3,5)\) and \(C(5,10)\), what is the slope of \(\overline{B'C'}\)?

\(m =\) <blank>2.5</blank>