The general point-slope equation of a line is:
[tex]y=m\cdot(x-x_0)+y_0\text{.}[/tex]Where:
• m is the slope of the line,
,• and (x0,y0) are the coordinates of one of the points of the line.
In this problem we have:
• m = 11,
,• (x0,y0) = (-8,-16).
Replacing these values in the general equation, we have:
[tex]y=11\cdot(x+8)-16[/tex]Answer
The point-slope equation of the line is:
[tex]y=11\cdot(x+8)-16[/tex]