Question

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

Answer 1

Since A ( -7,6), C (-3,3), D(5, -3), F(13, -9) we can replace these values in the slope formula, as:

`\begin{gathered} \frac{y2-y1_{}}{x2-x1}=(6-3)/(-7-(-3))\text{ for segment AC} \\ \frac{y2-y1_{}}{x2-x1}=(-3-(-9))/(5-13)\text{ for segment DF} \\ \text{Therefore }(6-3)/(-7-(-3))=(-3-(-9))/(5-13) \\ \text{Answer is: Option B} \end{gathered}`