Question

if $overleftrightarrow{er}perpoverleftrightarrow{tg}$ and the slope of $overleftrightarrow{er}=\frac{1}{3}$, what is the slope of $overleftrightarrow{tg}$? use the keypad to enter the answer in the box provided. the slope of $overleftrightarrow{tg}$ is

Explanation:

Step1: Recall slope - perpendicular line relationship

The product of the slopes of two perpendicular lines is - 1. Let the slope of $\overleftrightarrow{ER}$ be $m_1=\frac{1}{3}$ and the slope of $\overleftrightarrow{TG}$ be $m_2$. Then $m_1\times m_2=-1$.

Step2: Solve for $m_2$

We have $\frac{1}{3}\times m_2=-1$. To find $m_2$, we can multiply both sides of the equation by 3. So $m_2=-3$.

Answer:

-3