mgb5e_ppt_3_4

mgb5e_ppt_3_4 - 3.4 Slope and Rate of Change Slope of a...

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§ 3.4 Slope and Rate of Change

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Martin-Gay, Beginning Algebra, 5ed 2 Slope of a Line Slope of a Line 1 2 1 2 1 2 x x x x y y change x change y run rise m - - = = =
Martin-Gay, Beginning Algebra, 5ed 3 Slope of a Line Slope of a Line Positive Slope: m > 0 x y Lines with positive slopes go upward as x increases. Negative Slope: m < 0 x y Lines with negative slopes go downward as x increases.

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Martin-Gay, Beginning Algebra, 5ed 4 Find the slope of the line through (4, – 3 ) and (2, 2) If we let ( x 1 , y 1 ) = (4, – 3) and ( x 2 , y 2 ) = (2, 2), then 2 5 4 2 ) 3 ( 2 - = - - - = m 2 5 2 4 2 3 - = - - - = m Note: If we let ( x 1 , y 1 ) be (2, 2) and ( x 2 , y 2 ) be (4, – 3), then we get the same result. Example: Finding the Slope Given Two Points
Martin-Gay, Beginning Algebra, 5ed 5 Slope-Intercept Form When a linear equation in two variables is written in the slope-intercept form, y = mx + b m is the slope and (0, b ) is the y -intercept of the line. Slope-Intercept Form of a Line y = 3 x – 4 The slope is 3.

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mgb5e_ppt_3_4 - 3.4 Slope and Rate of Change Slope of a...

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