Lines in the Plane and Slope

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Presentation transcript:

Lines in the Plane and Slope Sec. 2.1 Lines in the Plane and Slope

The Slope of a Line The slope of a nonvertical line represents the number of units the line rises or falls vertically for each unit of horizontal change from left to right.

The Slope of a Line Definition of the Slope of a Line The slope m of the nonvertical line through is where Why

Slope intercept Form Slope intercept form of the equation of a line is y = mx + b slope y intercept x & y are the coordinates for all points on that line

x = a vertical line slope is undefined y = a Horizontal line 0 slope

Sketch the graph y =⅔x – 6 y = -½ x y = 4 x = -2 5x – 2y = 6

Real Life Slope is either a ratio or rate. Ratio – x & y have the same units so the slope ends up unitless (no units) Rate – x & y have different units so the slope has units called rate of change

Ex. 2 Recommended slope of a wheelchair ramp is 1/12. A ramp rises 22 in over a horizontal length of 24 ft. Is the ramp steeper than recommended?