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: A P E X

Answer 2

The slope of the green line is 3.

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 = -(1)/(3)`

Now plug m1 value in the above statement, we get

`-(1)/(3) *m_2 = -1`

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

`-3*-(1)/(3) *m_2 = -3*-1`

`m_2 = 3`

Therefore, the slope of the green line is 3.