Question

5 multiple choice 1 point
what is the slope of this line?

Explanation:

Step1: Recall slope formula

The slope of a line is defined as $m = \frac{\Delta y}{\Delta x} = \frac{y_2 - y_1}{x_2 - x_1}$ for two points $(x_1,y_1)$ and $(x_2,y_2)$ on the line.

Step2: Analyze vertical line properties

For a vertical line (like the ones shown), the $x$-coordinate is constant for all points. Let the line be $x = a$. Choose two points: $(a, y_1)$ and $(a, y_2)$.

Step3: Calculate the slope

Substitute into the slope formula: $m = \frac{y_2 - y_1}{a - a} = \frac{y_2 - y_1}{0}$
Division by 0 is undefined.

Answer:

The slope of the vertical line is undefined.