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.
