Calculating the Slope

Now let's work through the solution to this problem by going through the steps outlined in this unit.

1. What is the slope of the line connecting the points (0, 3) and (8, 5)?
To calculate the slope of this line you need to:
1. Step One: Identify two points on the line.
You were given points (0, 3) and (8, 5) on the line.
2. Step Two: Select one to be (x1, y1) and the other to be (x2, y2).
Let's take (0, 3) to be (x1, y1). Let's take the point (8, 5) to be the point (x2, y2).
3. Step Three: Use the slope equation to calculate slope.
Using the given points, your calculations will look like:

1. Calculate the slope of the line given in the figure below.
To calculate the slope of this line you need to:
 Step One: Identify two points on the line. Identify points A (20, 10) and B (50, 20) on the line. Step Two: Select one to be (x1, y1) and the other to be (x2, y2). Let's take A (20, 10) to be (x1, y1). Let's take the point B (50, 20) to be the point (x2, y2). Step Three: Use the slope equation to calculate slope. Using points A (20, 10) and B (50, 20), your calculations will look like:
• If you did not use the points A and B to calculate the slope, but the slope you calculated is still a fraction that is not correct, you should check your selection of points.
• If your slope was 3, you inverted the slope equation.
2. In the figure below, which line (A, B, or C) has the slope with the largest value? Which one has the slope with the smallest value?
Since the three lines are drawn on the same set of axes, we can determine which has the largest and smallest slope by simply looking at the graph.
 Line A is the steepest so would have the largest slope. Line C is the least steep so would have the smallest slope.

If you had problems with this practice, please review this section of the unit and then do the additional practice.