Chapter 4 - Writing Linear Functions - 4.2 - Writing Equations in Point-Slope Form - Exercises - Page 185: 10

$y+12=-\frac{2}{5}(x-5)$

The point-slope form of the line is $y-y_{1}=m(x-x_{1})$ Given: $m=-\frac{2}{5}$, $(x_{1},y_{1})=(5,-12)$ Substituting the values, we get $y-(-12)=-\frac{2}{5}(x-5)$ $\implies y+12=-\frac{2}{5}(x-5)$