Find the slope of the line through the pair of points.
-$( 7 , - 3 )$ and $( - 5,6 )$
A) $\frac { 4 } { 3 }$
B) $\frac { 3 } { 4 }$
C) $- \frac { 4 } { 3 }$
D) $- \frac { 3 } { 4 }$

Question

Quizplus · Accepted Answer

The slope of a line through two points $(x_1, y_1)$ and $(x_2, y_2)$ is given by $m = \frac{y_2 - y_1}{x_2 - x_1}$. Substituting the given points, $m = \frac{6 - (-3)}{-5 - 7} = \frac{9}{-12} = -\frac{3}{4}$.

Find the Slope of the Line Through the Pair of Points