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If m represents the slope of a line and A and B are points lying on that line with coordinates

# If m represents the slope of a line and A and B are points lying on that line with coordinates

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If  m  represents the slope of a line and  A  and  B  are points lying on that line with coordinates (  x 1   ,y 1 and (  x 2   ,y 2 ), respectively, then the slope of the line passing through  A  and  B  is given by the following  formula.  Since  A  and  B  cannot be points on a vertical line,  x 1  and  x 2  cannot be equal to one another. If  x 1   = x 2 then the line is vertical, and the slope is undefined.

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Unformatted text preview: Example 1 Use Figure 2 to find the slopes of the lines a, b, c , and d . Line a passes through the points (–7,2) and (–3,4). Line b passes through the points (2,4) and (6,–2). Line c is parallel to the x-axis. Therefore, m = 0 Line d is parallel to the y-axis. Therefore, line d has an undefined slope....
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