Answer
$y=-x+3$
Work Step by Step
First, we find the slope as follows
$$
m=\frac{y_2-y_1}{x_2-x_1}=\frac{6+3}{-3-6}=-\frac{9}{9}=-1
.$$
The point-slope form of a line is given as:
$$y-y_1=m(x-x_1)$$
We plug in the given point and slope and solve for $y$:
$$y-6=- (x+3)\Longrightarrow y=- x-3+6=-x+3
.$$
