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 Dependent Variable

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# The Slope of a Line

Example 1

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

Solution

 Let (x1, y1) = (3, 2) and (x2, y2) = (3, .4). m Substitute these values in the slope formula. Simplify. Since division by zero is undefined, the slope is undefined.In fact, the slope of any vertical line is undefined.

Slope of a Line

 â€¢ Slope is positive: Line slants upward as we move from left to right. â€¢ Slope is negative: Line slants downward as we move from left to right. â€¢ Slope is zero: The slope of a horizontal line is 0. â€¢ Slope is undefined: The slope of a vertical line is undefined.
We can use slope to help us construct the graph of a line.

Example 2

Graph the line that passes through the point (-5, 6) with slope .

Solution

First, plot the given point, (-5, 6).

To find another point on the line, use the slope. The slope, , tells us how to move up and down (rise) and left and right (run) to get to another point on the line. The slope says to move 3 units down and 4 units right to get to another point, (-1, 3).

Plot the point (-1, 3).

Finally, draw a line through the two points.