Answer :
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 [tex]\left(\mathrm{x}_{1}, \mathrm{y}_{1}\right) \text { and }\left(\mathrm{x}_{2}, \mathrm{y}_{2}\right)[/tex] is given as:
[tex]\mathrm{m}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]\text { Here, in our problem, } x_{1}=10, y_{1}=8 \text { and } x_{2}=9, y_{2}=13[/tex]
[tex]\text { slope } m=\frac{13-8}{9-10}=\frac{5}{-1}[/tex]
[tex]=\frac{-5}{1}=-5[/tex]
Hence, the slope the line that passes through the given points is – 5