Given the equation:
[tex]x+7y=-3[/tex]The slope-intercept for the line is: y = mx + b
the given equation is the standard for the line, to find the slope-intercept form of the line, solve the equation for y
So, the slope-intercept form will be as follows:
[tex]\begin{gathered} x+7y=-3 \\ 7y=-x-3\rightarrow(\div7) \\ \\ y=-\frac{1}{7}x-\frac{3}{7} \end{gathered}[/tex]so, the answer will be the slope-intercept equation is:
[tex]y=-\frac{1}{7}x-\frac{3}{7}[/tex]