The slope of the line passes through (-6, 3) and (1, 5) is [tex]\frac{2}{7}[/tex]
Solution:
Given, two points are (- 6, 3) and (1, 5)
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}=-6, y_{1}=3 \text { and } x_{2}=1, y_{2}=5[/tex]
[tex]\text { Slope } m=\frac{5-3}{1-(-6)}=\frac{2}{1+6}=\frac{2}{7}[/tex]
Hence, the slope the line that passes through the given points is [tex]\frac{2}{7}[/tex]
