For this question, we recall the point-slope form of the equation of a line:
[tex]y-y_0=m(x-x_0)[/tex]and the slope-intercept form:
[tex]y=mx+b[/tex]Therefore for the given data, the point-slope form is:
[tex]\begin{gathered} y-(-7)=-6(x-(-3)) \\ y+7=-6(x+3) \end{gathered}[/tex]and the slope-intercept form is:
[tex]\begin{gathered} y=-6x-18-7 \\ y=-6x-25 \end{gathered}[/tex]