Find the slope of the line determined by this pair of points. $( - 18 , - 12 ) , ( - 12 , - 22 )$
A) $- \frac { 5 } { 3 }$
B) $- \frac { 3 } { 5 }$
C) $\frac { 3 } { 5 }$
D) $- 5$
E) $\frac { 5 } { 3 }$

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 $m = \frac{-22 - (-12)}{-12 - (-18)} = \frac{-22 + 12}{-12 + 18} = \frac{-10}{6} = -\frac{5}{3}$.

Find the Slope of the Line Determined by This Pair (−18,−12),(−12,−22)( - 18 , - 12 ) , ( - 12 , - 22 )(−18,−12),(−12,−22)

Find the Slope of the Line Determined by This Pair $( - 18 , - 12 ) , ( - 12 , - 22 )$