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Lesson 18 - Lesson 18 Slope A ratio(fraction that compares...

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Lesson 18 Slope: - A ratio (fraction) that compares the vertical change ( ) to the horizontal change ( ) when moving from one point to another - Denoted symbolically by - - vertical change ( ) is the difference between the -coordinates - horizontal change ( ) is the difference between the -coordinates Example 1: Given the two points ( ) and ( ) below, find the slope of the line. -10 -8 -6 -4 -2 0 2 4 6 8 10 -10 -8 -6 -4 -2 0 2 4 6 8 10 ? ( ? ? ) ? ( ? ? )
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Example 2: Sketch a line through each pair of points, and then find the slope of the line a. ( ) and ( ) b. ( ) and ( ) c. ( ) and ( ) d. ( ) and ( )
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The slope formula is an equation with a fraction. How can we re- write this equation without a fraction? Point-slope form: - an equation for a line passing through a point ( ) with a given slope ( ) ( ) Point-slope form is most often used to find the equation for a line when the slope of the line and a point that the line pass through are provided. Slope-intercept form: - an equation for a line with a given slope and a -intercept ( ) - the result of solving a linear equation for the variable General form of a linear equation:
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