Given the line passing through the points P1 and P2
The coordinates of the points are;
P1: ( -5, 3 )
P2: ( 5, 1 )
The slope of the line is given by the formula;
[tex]slope=\frac{rise}{run}=\frac{y_2-y_1}{x_2-x_1}[/tex]Substitute with the given points:
[tex]slope=\frac{1-3}{5-(-5)}=\frac{1-3}{5+5}=\frac{-2}{10}=-\frac{1}{5}[/tex]So, the answer will be the slope = -1/5