Answer:
In order to calculate the slope, you'll need 2 ordered pairs (x, y).
The formula for calculating the slope is:
[tex]m = \frac{y2 - y1}{x2 - x1}[/tex]
where m = slope
(x1, y1) = first ordered pair
(x2, y2) = second ordered pair
Regardless of which values for the (x1, y1) and (x2, y2) you choose, you would still end up with the same slope (as long as it's done correctly).
As an example, let's say you have the following set of points:
(2, 4) (8, 1)
Let (x1, y1) = (2, 4)
(x2, y2) = (8, 1)
Plug these values into the slope formula:
[tex]m = \frac{y2 - y1}{x2 - x1}[/tex]
[tex]m = \frac{1 - 4}{8 - 2} = \frac{-3}{6} = -\frac{1}{2}[/tex]
Therefore, the slope of the line is - 1/2.
To prove that you'll end up with the same value for the slope:
This time, let (x1, y1) = (8, 1)
(x2, y2) = (2, 4)
[tex]m = \frac{y2 - y1}{x2 - x1}[/tex]
[tex]m = \frac{4 - 1}{2 - 8} = \frac{3}{-6} = - \frac{1}{2}[/tex]
Therefore, the value of the slope is still -1/2.
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