3.4a Notes - Then m is the slope of the line and (0,b) is...

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3.4a The Slope of a Line Slope m = change in y (vertical change) Change in x (horizontal change) If a line passes through points (x 1 , y 1 ) and (x 2 , y 2 ) the slope m of the line is 2 1 2 1 rise y y m run x x - = = - , as long as x 2 x 1 Examples: Find the slope of the line containing the points (0,3) and (2,5). Graph the line. Find the slope of the line containing the points (5,-4) and (-3,3). Graph the line. Slope-Intercept Form: y = mx + b When a linear equation in two variables is written in slope-intercept form,
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Unformatted text preview: Then m is the slope of the line and (0,b) is the y-intercept of the line. Examples: Find the slope and the y-intercept of the line 2x 4y = 8 Find the slope of the line x = -2 Find the slope of the line y = 7 The slope of any vertical line is undefined The slope of any horizontal line is 0. Summary: Positive slope Negative slope Undefined slope Zero slope For a line with positive slope m, as m increases, the line becomes steeper....
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This note was uploaded on 05/13/2011 for the course MTH 110 taught by Professor Helenius during the Spring '08 term at Grand Valley State University.

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3.4a Notes - Then m is the slope of the line and (0,b) is...

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