We know the slope of a line is its rise/run (i.e. (change in y)/(change in x)). So if we were given any two points we could find the slope of a line that passes through them. Let's say we had the points (x1, y1) and (x2, y2). Then we would do the following in ordre to find the slope:
In this case then, we would do the following with the points (-3, -5) and (3, 2):
Hence, the slope of the line is 7/6 (You can think of this as: for every six steps in the x direction there are 7 in the y direction).
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