Question

If A(7,5) , B(4,3) and C(-2,-3) are vertices of a triangle, then find the difference between the slope of Side AC and slope of Side AB.

• A. $\frac{8}{9}$
• B. $\frac{2}{3}$
• C. $\frac{2}{9}$
• D. $\frac{1}{9}$

Answer 1

The correct option is C $\frac{2}{9}$

Given, A(7,5) , B(4,3) and C(-2,-3)

Slope $m=\frac{y_2-y_1}{x_2-x_1}$

Slope of AC = $\frac{-3-5}{-2-7}=\frac{8}{9}$
Slope of AB = $\frac{3-5}{4-7}=\frac{2}{3}$

Difference between slope of AC and AB = $\frac{8}{9}-\frac{2}{3}=\frac{2}{9}$