Answer :
The equation of the slope is as follows,
[tex]\begin{gathered} m=\frac{(y2-y1)}{(x2-x1)} \\ m=\frac{-6-(-5)}{-7-(-1)} \\ m=\frac{-1}{-6} \\ m=\frac{1}{6} \end{gathered}[/tex]The equation of line from two point is as follows,
[tex]\begin{gathered} y-y1=m(x-x1) \\ y-(-5)=\frac{1}{6}(x-(-1)) \\ y+5=\frac{1}{6}(x+1) \\ 6y+30=x+1 \\ x-6y-29=0 \end{gathered}[/tex]The above equation is the point slope form.
Now, slope intercept form is as follows'