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

$$ y+2=3(x-4)$$

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: $$ y+2=3(x-4)$$ **Since it is parallel to $y=3x-1$, the slope is 3.