Question

What is the slope of the line passing through the points (−1, −7) and (−9, −2) ?

Answer 1

$\bf (\stackrel{x_1}{-1}~,~\stackrel{y_1}{-7})\qquad (\stackrel{x_2}{-9}~,~\stackrel{y_2}{-2}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-2}-\stackrel{y1}{(-7)}}}{\underset{run} {\underset{x_2}{-9}-\underset{x_1}{(-1)}}}\implies \cfrac{-2+7}{-9+1}\implies -\cfrac{5}{8}$

Answer 2

Answer:

The answer to your question is m = $\frac{5}{8}$

Step-by-step explanation:

Data

A (-1, -7)

B (-9, -2)

Formula

slope = m = $\frac{y2 - y1}{x2 - x1}$

Use the slope formula to find the answer. Just substitute the values and simplify them.

Substitution

x1 = -1

x2 = -9

y1 = -7

y2 = -2

                 m = $\frac{-2 + 7}{-9 + 1}$

Simplification

                 m =- $\frac{5}{8}$

Result

                  m =- $\frac{5}{8}$