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question 1 of 10 the lines shown below are perpendicular. if the green …

Question

question 1 of 10
the lines shown below are perpendicular. if the green line has a slope of 1/7, what is the slope of the red line?
a. -1/7
b. 7
c. -7
d. 1/7

Explanation:

Step1: Recall slope - perpendicular rule

The product of slopes of two perpendicular lines is - 1. Let the slope of the green line be $m_1=\frac{1}{7}$ and the slope of the red line be $m_2$. Then $m_1\times m_2=-1$.

Step2: Solve for $m_2$

We have $\frac{1}{7}\times m_2=-1$. Multiply both sides by 7 to get $m_2=-7$.

Answer:

C. -7