Question

The slopes of all lines parallel to $y-$axis is

• A. defined
• B. not defined
• C. 0

Answer 1

The correct option is B not defined

Any line parallel to $y-$axis have the points whose $x$-coordinate remains the same.

We can take two points as $(x_1,y_1)$ and $(x_1,y_2)$

Slope of line parallel to $y-$axis $=\frac{y_2-y_1}{x_1-x_1}=\frac{y_2-y_1}{0}$

This slope is not defined.