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4) what is the slope of a line perpendicular to the y - axis?

Question

  1. what is the slope of a line perpendicular to the y - axis?

Explanation:

Step1: Recall the slope of y - axis

The y - axis is a vertical line. The slope of a vertical line is undefined. A line perpendicular to the y - axis is a horizontal line.

Step2: Determine the slope of a horizontal line

The formula for slope is $m=\frac{y_2 - y_1}{x_2 - x_1}$. For a horizontal line, $y_2=y_1$, so $m = \frac{y_2 - y_1}{x_2 - x_1}=\frac{0}{x_2 - x_1}=0$.

Answer:

0