Chapter 2 Linear Equations and Functions - 2.4 Write Equations of Lines - 2.4 Exercises - Skill Practice - Page 102: 31

$$y+1=-3(x-4)$$

We first find the slope: $$m=\frac{-7-\left(-1\right)}{6-4}=-3$$ 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: $$y+1=-3(x-4)$$