1. What is SLOPE?

2. What does the word “slope” mean. Slope is the steepness of a line
What does the word “slope” mean? Slope is the steepness of a line. Slope is seen everywhere!

3. The steepness of the roof of a house is referred to as the pitch of the roof by home builders.

4. Give one reason why some homes have roofs which have a greater pitch.
There is less snow build up in the wintertime.

5. Engineers refer to the slope of a road as the grade.

6. They often refer to the slope as a percentage.

7. Slopes and Lines rise run
The slope of a line is the rise divided by the run. It is often left as a fraction.

8. 8
100
A grade of 8% would mean that for every run of 100 units, there is a rise of 8 units.
𝒔𝒍𝒐𝒑𝒆= 𝟖 𝟏𝟎𝟎 = 𝟐 𝟐𝟓 =𝟎.𝟎𝟖

9. The steepness of ramps is very important for wheelchair accessibility and building codes.1 12
The slope of wheelchair ramps is usually about
If the rise is 2 m, what is the run?
Ans: 24 m

10. Determine the slope of the line segment.
5 cm
9 cm
We use the letter m because in French the word for “to go up” is monter.
René Descartes ( ) was from France and he was the first to define the Cartesian Plane.

11. Determine the slope (pitch) of the roof.
Because the slope is a RATIO, it does not have any UNITS.

12. Determine the slope of the staircase.2 3 3 3

13. Determine the slope of the line segment.7 4

14. Determine the slope of the line segment.–5 7

15. Determine the slope of the line segment.y 6
Horizontal lines have a slope of zero. x

16. Determine the slope of the line segment.y 5
Vertical lines have slopes which are undefined. x

18. positive
negative
undefined
zero