The slope of a line is given by the formula
[tex]m=\frac{y_2-y_1_{}}{x_2-x_,}[/tex]
Here,
[tex](x_1,y_1),(x_2,y_2)[/tex]
are two points on a line.
From the graph we have two points on the line, those are
[tex](-5,-1),\text{ (}5,11).[/tex]
Substitute
[tex]x_1=-5,y_1=-1,x_2=5,y_2=11[/tex]
in the formula:
[tex]\begin{gathered} m=\frac{11-(-1)}{5-(-5)} \\ =\frac{11+1}{5+5} \\ =\frac{12}{10} \\ =\frac{6}{5} \end{gathered}[/tex]
So, the slope is 6/5.
The correct option is C.
