The slope between the points (10, -1) and (-8, 6) is
![(-7)/(18)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/msaim5y240tgpvvqnktdksmxi6iatdx5tw.png)
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)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/qlrdtomjpsw8uy9mzdvl8t7mwknalssrpx.png)
![\mathrm{m}=(y_(2)-y_(1))/(x_(2)-x_(1))](https://img.qammunity.org/2020/formulas/mathematics/middle-school/40um0ixxv38udsd4npw7gxfgs7o6llsdrz.png)
![\text { Here in our problem, } x_(2)=10, y_(2)=-1, x_(1)=-8 \text { and } y_(1)=6](https://img.qammunity.org/2020/formulas/mathematics/middle-school/cd33kn1swnfyrfkcjw47laod23lab2v1bb.png)
![\text { Then, slope } m=(-1-6)/(10-(-8))=(-1-6)/(10+8)=(-7)/(18)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/tt1cl20zv26pjcuxjlrlqy93jq427e3czo.png)
Hence, the slope of a line that passes through the given two points is
![(-7)/(18)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/msaim5y240tgpvvqnktdksmxi6iatdx5tw.png)