Question

1. what will be the slope of a line, which is perpendicular to a vertical line? 0 -1 undefined 1

Explanation:

Step1: Recall properties of vertical and horizontal lines

A vertical line has an undefined slope (since \(m=\frac{y_2 - y_1}{x_2 - x_1}\) and for a vertical line \(x_2=x_1\), denominator is \(0\)). A line perpendicular to a vertical line is a horizontal line.

Step2: Calculate slope of horizontal line

For a horizontal line, \(y_2=y_1\). Using the slope formula \(m = \frac{y_2 - y_1}{x_2 - x_1}\), we get \(m=\frac{0}{x_2 - x_1}=0\) (where \(x_2
eq x_1\)).

Answer:

0