ANSWER
[tex]y + 5 = - \frac{2}{3} (x - 4)[/tex]
EXPLANATION
The given line has equation:
[tex]y = - \frac{2}{3} x + 8[/tex]
The slope of this line is;
[tex]m=-\frac{2}{3} [/tex]
The line that is parallel to this line also has the same slope.
If the line passes through (4,-5), then the point-slope form is given by;
[tex]y-y_1=m(x-x_1)[/tex]
We substitute the slope and the point to get,
[tex]y + 5 = - \frac{2}{3} (x - 4)[/tex]
