Find the slope of the line through the given pair of points, if possible. Based on the slope, indicate whether the line through the points rises from left to right, falls from left to right, is horizontal, or is vertical.
-$\biggl(\frac{4}{5},-\frac{2}{3}\biggl)$ and $\biggl(\frac{6}{5},-\frac{1}{2}\biggl)$
A) $\frac{6}{5}$; falls
B) $\frac{5}{12}$; rises
C) $\frac{3}{5}$; rises
D) $\frac{6}{5}$; rises

Question

Quizplus · Accepted Answer

The slope $m$ of a line through points $(x_1, y_1)$ and $(x_2, y_2)$ is given by $m = \frac{y_2 - y_1}{x_2 - x_1}$. For the given points $\biggl(\frac{4}{5},-\frac{2}{3}\biggl)$ and $\biggl(\frac{6}{5},-\frac{1}{2}\biggl)$, the slope is $m = \frac{-\frac{1}{2} - (-\frac{2}{3})}{\frac{6}{5} - \frac{4}{5}} = \frac{\frac{1}{6}}{\frac{2}{5}} = \frac{5}{12}$. Since the slope is positive, the line rises from left to right.

Find the Slope of the Line Through the Given Pair (45,−23)\biggl(\frac{4}{5},-\frac{2}{3}\biggl)(54​,−32​)

Find the Slope of the Line Through the Given Pair $\biggl(\frac{4}{5},-\frac{2}{3}\biggl)$