q2w6 slope

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Slide 1

Pre-Algebra Q2W6: Slope

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Objective Students will be able to determine the slope of a line.

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What is the meaning of this sign? Icy Road Ahead Steep Road Ahead Curvy Road Ahead Trucks Entering Highway Ahead

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What does the 7% mean? 7% is the slope of the road. It means the road drops 7 feet vertically for every 100 feet horizontally. So, what is slope??? Slope is the steepness of a line.

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Slope can be expressed different ways: A line has a positive slope if it is going uphill from left to right. A line has a negative slope if it is going downhill from left to right.

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When given the graph, it is easier to apply “rise over run” 1) Determine the slope of the line. 6 3 run 3 6 = = rise Notice the slope is positive AND the line increases!

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2) Find the slope of the line that passes through the points (-2, -2) and (4, 1). When given points, it is easier to use the formula!

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Did you notice that Example #1 and Example #2 were the same problem? (-2, -2) and (4, 1) You can do the problems either way! Which one do you think is easiest?

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Find the slope of the line that passes through (3, 5) and (-1, 4). 4 -4 ¼ - ¼

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Determine the slope of the line shown. -2 -½ ½ 2

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Determine the slope of the line. The line is decreasing (slope is negative). 2 -1 Find points on the graph. Use two of them and apply rise over run.

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What is the slope of a horizontal line? The line doesn’t rise! All horizontal lines have a slope of 0.

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What is the slope of a vertical line? The line doesn’t run! All vertical lines have an undefined slope.

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Remember the word “VUXHOY” Vertical lines Undefined slope X = number; This is the equation of the line. Horizontal lines O - zero is the slope Y = number; This is the equation of the line.

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Equation of a Line The most frequently used way to express the equation of a line is called “slope-intercept form.” slope-intercept form: y = mx + b The equation for this line would be y = -2x + 2

Summary: slope

Tags: slope formula rise over run pré algebra functions

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