LEQ: What is the process used to graph direct variation equations?

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Presentation transcript:

LEQ: What is the process used to graph direct variation equations?

 Symbolized as m  Measures the steepness  Rate of change of y with respect to x determined by two points on the line  Rise/Run  Slope formula: The slope of the line through two points (x 1, y 1 ) and (x 2, y 2 ) equals

 Find the slope between (9,12) and (15, 21)  Let (9,12) = (x 1, y 1 ) and (15, 21) = (x 2, y 2 )

 Find the slope between (-3, 8) and (-5, -7)  Let (-3, 8) = (x 1, y 1 ) and (-5, -7) = (x 2, y 2 )

 Passes through the origin  Domain is the set of real numbers  When k ≠ 0, the range is the set of real numbers  Constant slope, k  When k>0, graph slants up from left to right  When k<0, graph slants down from left to right  For example:  The slope of y = 2x is 2  The slope of y = (-3/4)x is -3/4

 Graph y = 4x  Passes through the origin  m = 4 Rise 4 (up) Run 1 (right)  Draw line

 Graph y = (-2/5)x  Passes through the origin  m = -2/5 Rise -2 (down) Run 5 (right)  Draw line

 LM 2-4A #4, 8

 Pgs #1-14, 16-24