1. Slope
3.5
Rate and Slope
Horizontal and Vertical Lines
Applications

2. Slope
The slope of the line containing points (x1 , y1) and (x2 , y2) is given by
Change in y
Change in x

3. Find the slope of the line containing the points (4, 5) and (4, 1).
Solution

4. Find the slope of the line y = 3
Solution

5. Find the slope of the line x = 2
Solution
The slope of a vertical line is ____________________.

6. Find the slope of the line y = 3
Solution

7. Applications of Slope
Some applications use slope to measure the steepness. For examples, numbers like 2%, 3%, and 6% are often used to represent the grade of a road, a measure of a road’s steepness. That is, a 3% grade means that for every horizontal distance of 100 ft, the road rises or drops 3 ft.

8. Find the slope (or grade) of the treadmill. Solution
** Reminder: Grade is slope expressed as a percent.