Find the slope of the line that goes through the given points.
-$( - 2 , - 5 )$ and $\left( \frac { 3 } { 4 } , 5 \right)$
A) $\frac { 11 } { 40 }$
B) $\frac { 40 } { 11 }$
C) $- \frac { 11 } { 40 }$
D) 0

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, we get $m = \frac{5 - (-5)}{\frac{3}{4} - (-2)} = \frac{10}{\frac{11}{4}} = \frac{40}{11}$.

Find the Slope of the Line That Goes Through the Given