Answer:
We write equations with negative reciprocal slope of each other.
Step-by-step explanation:
Perpendicular lines intersect at 90 degrees or perpendicular angles. As such, their slopes are related. The slope of each line is the negative reciprocal of the other. For the equation, [tex]y=16-\frac{x}{3}[/tex]. The slope or [tex]m=-\frac{1}{3}[/tex]. This means the slope of the other line will be the negative reciprocal which is -(-3)=3
