Answer:
A. [tex] \frac{3 - 7}{-4 -(-7)} = \frac{-5 - 3}{2 - (-4)} [/tex]
Step-by-step explanation:
Slope of PR = [tex] \frac{y_2 - y_1}{x_2 - x_1} [/tex]
Where,
[tex] P(-7, 7) = (x_1, y_1) [/tex]
[tex] R(-4, 3) = (x_2, y_2) [/tex]
Slope of PR = [tex] \frac{3 - 7}{-4 -(-7)} [/tex]
Slope of RT = [tex] \frac{y_2 - y_1}{x_2 - x_1} [/tex]
Where,
[tex] R(-4, 3) = (x_1, y_1) [/tex]
[tex] T(2, -5) = (x_2, y_2) [/tex]
Slope of RT = [tex] \frac{-5 - 3}{2 - (-4)} [/tex]
Therefore, the proportion that can be used to show that the slope of PR = the slope of RT is:
[tex] \frac{3 - 7}{-4 -(-7)} = \frac{-5 - 3}{2 - (-4)} [/tex]
