Recall that the slope-intercept form of the equation of a line is:
[tex]y=mx+b,[/tex]
where m is the slope of the line and b is the y-intercept.
To take the given equation to its slope-intercept form, first, we multiply it by x+1 and get:
[tex]\begin{gathered} y+13=6(x+1), \\ y+13=6x+6. \end{gathered}[/tex]
Subtracting 13, we get:
[tex]\begin{gathered} y=6x+6-13, \\ y=6x-7. \end{gathered}[/tex]
Answer:
[tex]y=6x-7.[/tex]
