Question

The line with equation y=my+b is perpendicular to the line with equation y=16 - x/3. The value of m is ____?

Answer 1

Answer:

m=3

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, $y=16-\frac{x}{3}$. The slope or $m=-\frac{1}{3}$. This means the slope of the other line will be the negative reciprocal which is -(-3)=3