To determine the equation of a line that passes through (x₁,y₁) with slope m, you can use the following formula:
[tex]y-y_1=m(x-x_1).[/tex]Substituting:
[tex]\begin{gathered} m=1, \\ (x_1,y_1)=(-7,-11) \end{gathered}[/tex]in the above formula, you get:
[tex]y-(-11)=1(x-(-7)).[/tex]Simplifying the above result, and taking it to its slope-intercept form you get:
[tex]\begin{gathered} y+11=x+7, \\ y=x+7-11, \\ y=x-4. \end{gathered}[/tex]