The slope of the line that passes through (10,8) and (9, 13) is – 5
Solution:
Given, two points are (10, 8) and (9, 13)
We have to find the slope of a line that passes through the above given two points.
Slope of a line that pass through
is given as:
![\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_(1)=10, y_(1)=8 \text { and } x_(2)=9, y_(2)=13](https://img.qammunity.org/2020/formulas/mathematics/middle-school/i14l669h6s8thdjv0tpho77is12b63oife.png)
![\text { slope } m=(13-8)/(9-10)=(5)/(-1)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/awu9p14qwtnvelzwet63pphrvwo4h4yk4r.png)
![=(-5)/(1)=-5](https://img.qammunity.org/2020/formulas/mathematics/middle-school/sieh95p41pq4274vnxqe7p1yc16seh4knm.png)
Hence, the slope the line that passes through the given points is – 5