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Using any two points, calculate the differences in the Y and the X coordinates. Then take the difference between the Y and divide it by the difference in the X.

Example:

Points (1,3) and (4,9) are on a line. Determine the slope of the line.

X coordinates: 1 and 4.

4-1 = 3

Y coordinates: 3 and 9

9-3 = 6

Slope = Y/X = 6/3 = 2

The slope is 2

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Q: How calculate the slope of a line?
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How do you find the slope of a parallel line?

Parallel lines have the same slope. So if you know the slope of a line in question, or you can calculate it, then you know the slope of any line parallel to that line.


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A.True


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A vertical line is neither positive nor negative because the slope is undefined. An undefined slope creates a vertical line, hence no slope to calculate. An example of a vertical line would be x=2 or a "slope" of 2/0 (undef. slope). In addition, a vertical line is not even a function because it has repeating input(x) values.


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The product of the slopes of two perpendicular lines is -1. Therefore, you must do the following: 1) Calculate the slope of the original line. If you put a line into the form y = ax + b, the so-called "slope-intercept form", then "a" (i.e., whatever number is in front of the "x") is the slope. Call this slope "m". 2) To get the slope of the perpendicular line, divide -1 by m. For example, if a certain line has a slope of 2, then the perpendicular line has a slope -1/2.


What is the minimum amount of information you need in order to calculate the slope of a line?

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