identify the slope of the line shown on the following graph. undefined zero
identify the slope of the line shown on the following graph. undefined zero
Answer
Explanation:
Step1: Recall slope formula
The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$, where $(x_1,y_1)$ and $(x_2,y_2)$ are two points on the line.
Step2: Identify points on the line
For a vertical line, all $x$-values are the same. Let two points on the line be $(x,y_1)$ and $(x,y_2)$. Then the slope $m=\frac{y_2 - y_1}{x - x}=\frac{y_2 - y_1}{0}$.
Step3: Determine the slope
Division by zero is undefined. So the slope of a vertical line is undefined.
Answer:
Undefined