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The slope of a vertical line is ________ ; the slope of a horizontal line is _______.

Short Answer

Expert verified

The slope of a vertical line is infinity; the slope of a horizontal line is zero.

Step by step solution

01

Step 1. Given information.

The slope of a vertical line is ________ ; the slope of a horizontal line is _______.

02

Step 2. Find the slope of the vertical line.

The slope of the line is given by m=tanθ, where θis the angle made by the given line with x-axis.

Now, a vertical line makes 90°angle with the x-axis. Therefore, we get:

m=tan90m=∞

03

Step 3. Find slope of the horizontal line.

A horizontal line is a line parallel to the x-axis.

Therefore, we get:

m=tanθm=tan0m=0

Hence, the slope of a vertical line is infinity; the slope of a horizontal line is zero.

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