Question

Find the slope of the line that contains the points (-8, -2) and (-17, 4).

Answer 1

Answer:

-2/3

Step-by-step explanation:

m=y2-y1/x2-x1
m=4-(-2)/-17-(-8)
m=4+2/-17+8
m=6/-9
m=-2/3

Answer 2

SOLVING

$\Large\maltese\underline{\textsf{A. \space What is Asked}}$

Find the slope of the line that contains the points (-8,-2) and (-17,4)

$\Large\maltese\underline{\textsf{B.\space This problem has been solved!}}$

If we are given two points, we can easily find the slope of the line that passes through the points. With points (y₂, y₁) and (x₂, x₁), the slope is $\bf{\dfrac{y2-y1}{x2-x1}$.

Similarly, with points (-8,-2) and (-17,4) the slope is.

$\bf{\dfrac{4-(-2)}{-17-(-8)}}$ | as we can see, it is possible to simplify this further

$\bf{\dfrac{4+2}{-17+8}}$ | simplify

$\bf{\dfrac{6}{-9}$ | reduce

$\bf{-\dfrac{2}{3}}$

$\rule{300}{1.7}$

$\bf{Result:}$

                    $\bf{=-\dfrac{2}{3}}$

$\boxed{\bf{aesthetic\not101}}$