Slope 3.5 Rate and Slope Horizontal and Vertical Lines Applications.

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Presentation transcript:

Slope 3.5 Rate and Slope Horizontal and Vertical Lines Applications

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

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

Find the slope of the line y = 3 Solution

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

Find the slope of the line y = 3 Solution

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.

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