Www.thevisualclassroom.com Slopes (or steepness) of lines are seen everywhere.

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Presentation transcript:

Slopes (or steepness) of lines are 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 steepness of the line.

A grade of 8% would mean for every run of 100 units, there is a rise of 8 units.

The steepness of wheelchair ramps is of great importance to handicapped persons. The slope of wheelchair ramps is usually about 1 12 If the rise is 1.5 m, what is the run?Ans: 18 m

Determine the slope of the line. 5 cm 9 cm We use the letter m because in French the word for “to go up” is monter. Because the slope is a ratio, there are no units such as cm or cm 2.

3 m 5 m Determine the slope (pitch) of the roof.

Determine the slope of the staircase

Determine the slope

– 5 7 Determine the slope

7 Horizontal lines have a slope of zero Determine the slope

6 Vertical lines have slopes which are undefined Determine the slope

positive negative zero undefined

Determine the slope of the line segment 40 5 = 8

Determine the slope of the line segment 60 –2

Draw a line which has a slope of Draw a line which has a slope of 2

Draw a line which has a slope of –5 6 6

Draw a line which has a slope of … –3 1 1 a) – 3 b)