The slope between the points (10, -1) and (-8, 6) is [tex]\frac{-7}{18}[/tex]
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 [tex]\left(\mathrm{x}_{1}, \mathrm{y}_{1}\right) \text { and }\left(\mathrm{x}_{2}, \mathrm{y}_{2}\right)[/tex]
[tex]\mathrm{m}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]\text { Here in our problem, } x_{2}=10, y_{2}=-1, x_{1}=-8 \text { and } y_{1}=6[/tex]
[tex]\text { Then, slope } m=\frac{-1-6}{10-(-8)}=\frac{-1-6}{10+8}=\frac{-7}{18}[/tex]
Hence, the slope of a line that passes through the given two points is [tex]\frac{-7}{18}[/tex]
