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Section 3.3 – Slope of Line - PowerPoint PPT Presentation


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Section 3.3 – Slope of Line. November 1, 2010. Slope formulas. · m = ·Example – find the slope of a line containing the points (1,2) and (3,4) * Always simplify slope if possible. Types of Slope. · Undefined - no slope – vertical line ·Negative - falling ·Zero – horizontal line

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Slope formulas

· m =

·Example – find the slope of a line containing the points (1,2) and (3,4)

* Always simplify slope if possible

slide3

Types of Slope

·Undefined - no slope – vertical line

·Negative - falling

·Zero – horizontal line

·Positive - rising

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Parallel and Perpendicular lines

·PARALLEL lines have the SAME slope

·PERPENDICULAR line have slopes that are OPPOSITE RECIPROCALS. This also means the slopes have a product of -1.

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Examples: determine the slope of each line and find the slope of the parallel and perpendicular lines.

·Y = 2/3x +5 (remember y=mx + b?)

Slope is 2/3 - it is rising

Slope of parallel lines = 2/3

Slope of perpendicular lines = -3/2

·Y = -4x – 2

Slope is ____ it is ________

Parallel slope __ _ Perpendicular ____

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More examples… a little harder.

Find the slope of the line plus the parallel and perpendicular slopes

·Points (4 , 7) and (8 , -9)

·Points (-5 , 7) and ( 2 , 7)

·Points (-4 , 2) and (-4 , 9)