The slope of the line that passes through the points (3,6) and (1, 2) is 2.
Given coordinates of points are (3,6) and (1,2).
Let these coordinates be [tex]x_{1} ,y_{1} , x_{2}, y_{2}[/tex] respectively.
We know that, the slope of line passing through two points be [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex].
So, slope [tex]m=\frac{y_{2-y_{1} } }{x_{2} -x_{1} }[/tex]
Here [tex]x_{1} =3, y_{1} =6 and x_{2} =1 ,y_{2} =2[/tex]
Finally [tex]m=\frac{2-6}{1-3}[/tex]
[tex]m=\frac{-4}{-2}[/tex]
[tex]m=2[/tex]
Hence the slope of the line that passes through the points (3,6) and (1, 2) is 2.
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