Find the slope of the line that passes through the given points. $( 4 , - 3 ) , ( - 8,6 )$
A) $- \frac { 3 } { 4 }$
B) $\frac { 3 } { 4 }$
C) $\frac { 3 } { 8 }$
D) $- \frac { 3 } { 8 }$
E) undefined

Question

Quizplus · Accepted Answer

The slope of a line passing 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, we get $m = \frac{6 - (-3)}{-8 - 4} = \frac{9}{-12} = -\frac{3}{4}$.

Find the Slope of the Line That Passes Through the Given