Question

Lines m and p are perpendicular. if the slope of line m is -3 what is the slope of line p?

Answer 1

Answer:

The slope of line p is 1/3. The correct option is B.

Step-by-step explanation:

Let the slope of line p be m.

The product of slopes of two perpendicular lines is -1 and the slope of two  parallel lines are same.

$m_1\times m_2=-1$

It is given that lines m and p are perpendicular. It means the product of slopes of m and p is -1. The slope of line m is -3.

$-3\times m=-1$

Divide both sides by -3.

$m=\frac{-1}{-3}$

$m=\frac{1}{3}$

Therefore the slope of line p is 1/3. The correct option is B.

Answer 2

Perpendicular lines have slopes that are negative reciprocals

so if m1 = -3

the perpendicular line has a slope of 1/3