Question

a vertical line has a slope of zero.
true
false

Explanation:

Step1: Recall slope formula

The slope \( m \) of a line is given by \( m = \frac{y_2 - y_1}{x_2 - x_1} \), where \( (x_1, y_1) \) and \( (x_2, y_2) \) are two points on the line.

Step2: Analyze vertical line

For a vertical line, all points have the same \( x \)-coordinate, so \( x_2 - x_1 = 0 \). Division by zero is undefined, so the slope of a vertical line is undefined. A horizontal line has a slope of zero (since \( y_2 - y_1 = 0 \), so \( m = 0 \)). Thus, the statement "A vertical line has a slope of zero" is false.

Answer:

False (the option corresponding to "False")