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 Depdendent Variable

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 Dependent Variable

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Horizontal and Vertical Lines

The slope of a horizontal line is neither positive nor negative.

The slope of a vertical line is undefined. That is, a vertical line does not have a slope.

Example 1

Find the slope of the horizontal line through points (-4, 2) and (3, 2).

Solution

 Let (x1, y1) = (-4, 2) and (x2, y2) = (3, 2). m Substitute the values in the slope formula. Simplify. = 0

The slope of the line is 0.

To move from one point to another on a horizontal line, the rise is 0.

So the slope of a horizontal line is 0.

Example 2

Find the slope of the vertical line that passes through (3, -4) and (3, 2).

Solution

 Let (x1, y1) = (3, -4) and (x2, y2) = (3, 2). m Substitute the values in the slope formula. Simplify.
Division by 0 is undefined, so the slope of the line is undefined.

To move from one point to another on a vertical line, the run is 0. The slope of a vertical line is undefined. That is, a vertical line does not have a slope.

Note - Slope of a Line

 â€¢ Positive slope: Line slants upward as we move from left to right. â€¢ Negative slope: Line slants downward as we move from left to right. â€¢ Zero slope: A horizontal line has slope 0. â€¢ Undefined slope: The slope of a vertical line is undefined.