What is the slope of the line that contains the points 1 3 and 2 5?

Answer 1

The slope of a line containing the points (1,3) and (2,5) is 2. This basic problem in graphics has a simple solution. The slope of a line is defined as the change in the y value divided by the change in the x value. Another way to express this is say "the rise over the run" of the line. Let's look at this line and find that "rise over run" for it. You can see the two coordinates, and the change in the y value from one to the next is from 3 to 5. That's a change of +2. The change in the x value for the same interval is from 1 to 2. That's a change of +1. To finish, +2/+1 = +2, and the slope of the line is 2. If we went the "other way" to solve it, had better work, hadn't it? Yes, it should. The change from 5 to 2 is a change of -3, which is the change in y value. The x value changes from 2 to 1, and that's a change of -1. Now we take the -2/-1 and resolve it and lo! it's +2, and the slope of the line is 2 just as it was before.

Answer 2

The slope of the line passing through the points (1, 3) and (2, 5) is 2. The formula to calculate the slope between two points is (y2 - y1) / (x2 - x1).