Find the slope of the line through $P ( - 4 , - 1 )$ and $Q ( - 1 , - 19 )$.
A) $\quad m = - 4$
B) $\quad m = - 7$
C) $\quad m = - 8$
D) $\quad m = - 6$
E) $\quad m = - 5$

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 coordinates of point $P$ and $Q$:

$$m = \frac{-19 - (-1)}{-1 - (-4)} = -6$$

Therefore, the slope of the line passing through $P$ and $Q$ is \boxed{\textbf{(D)}\ -6}.

Find the Slope of the Line Through P(−4,−1)P ( - 4 , - 1 )P(−4,−1)

Find the Slope of the Line Through $P ( - 4 , - 1 )$