Question

Find the slope between the points (10, -1) and (-8, 6) 5/2 −7/18 2/5 −18/7

Answer 1

The slope between the points (10, -1) and (-8, 6) is $\frac{-7}{18}$

Solution:

Given, two points are (10, -1) and (-8, 6)

We have to find the slope of a line that, passes through the above given two points.

Now, we know that, slope of a line that passes through the points $\left(\mathrm{x}_{1}, \mathrm{y}_{1}\right) \text { and }\left(\mathrm{x}_{2}, \mathrm{y}_{2}\right)$

$\mathrm{m}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$\text { Here in our problem, } x_{2}=10, y_{2}=-1, x_{1}=-8 \text { and } y_{1}=6$

$\text { Then, slope } m=\frac{-1-6}{10-(-8)}=\frac{-1-6}{10+8}=\frac{-7}{18}$

Hence, the slope of a line that passes through the given two points is $\frac{-7}{18}$