The slope of the line that passes through (5, 4) and (-4,3) is [tex]\frac{1}{9}[/tex]
Solution:
Given, two points are (5, 4) and (-4, 3)
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(x_{1}, y_{1}\right) \text { and }\left(x_{2}, y_{2}\right)[/tex] is given as:
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]\text { Here, in our problem, } x_{1}=-4, y_{1}=3 \text { and } x_{2}=5, y_{2}=4[/tex]
[tex]\text { slope } m=\frac{4-3}{5-(-4)}=\frac{1}{5+4}=\frac{1}{9}[/tex]
Hence, the slope the line that passes through the given points is [tex]\frac{1}{9}[/tex]
