What is SLOPE?
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!
The steepness of the roof of a house is referred to as the pitch of the roof by home builders.
Give one reason why some homes have roofs which have a greater pitch. There is less snow build up in the wintertime.
Engineers refer to the slope of a road as the grade.
They often refer to the slope as a percentage.
Slopes and Lines rise run The slope of a line is the rise divided by the run. It is often left as a fraction.
8 100 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
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
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 (1596-1650) was from France and he was the first to define the Cartesian Plane.
Determine the slope (pitch) of the roof. Because the slope is a RATIO, it does not have any UNITS.
Determine the slope of the staircase. 2 3 3 3
Determine the slope of the line segment. 7 4
Determine the slope of the line segment. –5 7
Determine the slope of the line segment. y 6 Horizontal lines have a slope of zero. x
Determine the slope of the line segment. y 5 Vertical lines have slopes which are undefined. x
positive negative undefined zero