Find the slope of the line that passes through the points $A ( - 4 , - 2 ) \text { and } B ( 10,9 ).$
A) $\frac { 11 } { 14 }$
B) $- \frac { 1 } { 2 }$
C) $- \frac { 11 } { 14 }$
D) $\frac { 13 } { 12 }$
E) $\frac { 7 } { 6 }$

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 $A(-4, -2)$ and $B(10, 9)$ into this formula gives $m = \frac{9 - (-2)}{10 - (-4)} = \frac{11}{14}$.

Find the Slope of the Line That Passes Through the Points