Which proportion can be used to show that the slope of AC Is equal to the slope of DF? A 6-(-3) -7-(-3) = -3-(-9) 5-13 B. 6-3 -7-(-3) -3-(-9) 5-13 C. 6-(-3) -7-3 -3-9 5-13 D. 6-3 -7-3 -3-9 5-13

Since A ( -7,6), C (-3,3), D(5, -3), F(13, -9) we can replace these values in the slope formula, as:
[tex]\begin{gathered} \frac{y2-y1_{}}{x2-x1}=\frac{6-3}{-7-(-3)}\text{ for segment AC} \\ \frac{y2-y1_{}}{x2-x1}=\frac{-3-(-9)}{5-13}\text{ for segment DF} \\ \text{Therefore }\frac{6-3}{-7-(-3)}=\frac{-3-(-9)}{5-13} \\ \text{Answer is: Option B} \end{gathered}[/tex]