Question

The lines graphed below are perpendicular. The slope of the red line is -1/3. What is the slope of the green line?

Answer 1

Answer:

The slope of the green line is 3.

Step-by-step explanation:

Definition: If the two lines are said to be perpendicular, than the multiplication of their slope is -1.

In other words, the slope of the perpendicular line is the negative reciprocal of the given slope of the line.

Here we are slope of the red line, which is -1/3

Let's take it as "m1"

Let's take "m2" the slope of the green line.

By the above definition,

$m_1 *m_2 = -1$

Given: $m_1 = -\frac{1}{3}$

Now plug m1 value in the above statement, we get

$-\frac{1}{3} *m_2 = -1$

Multiply both sides by reciprocal of -1/3. The reciprocal of -1/3 = -3

$-3*-\frac{1}{3} *m_2 = -3*-1$

$m_2 = 3$

Therefore, the slope of the green line is 3.