Chapter 2 Linear Equations and Functions - 2.4 Write Equations of Lines - Guided Practice for Examples 2 and 3 - Page 99: 5b

$$ y+2=-\frac{1}{3}(x-4)$$

We know that point slope form is expressed as $y-y_1=m(x-x_1)$, where $(x_1,y_1)$ is a point on the line, and m is the slope of the line. Using this, we find that the equation of the line is: $$ y+2=-\frac{1}{3}(x-4)$$ **Since it is perpendicular to $y=3x-1$, its slope must be $-\frac{1}{3}$, which is the opposite reciprocal of 3.