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

m=3

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-(x)/(3)`. The slope or
`m=-(1)/(3)`. This means the slope of the other line will be the negative reciprocal which is -(-3)=3