What is the slope of the line that goes through the points (7,3) and (-5,9)

To find the slope of a line, we need to use the formula for finding slope, m, which is:

m = change in y/change in x = y2-y1/x2-x1

This means that we must use the given ordered pairs and substitute these values into the formula above.  However, it is important to remember that x1 and y1 should be from the same pair and x2 and y2 should be from the other pair, otherwise you will get the wrong answer.

Let's let (x1, y1) be (7,3) and (-5,9) be (x2, y2).

Now, we must plug into the formula.

m = (9-3)/(-5-7) = 6/(-12) = -1/2

Therefore, the slope between these two points is -1/2.  

Hope this helps!