Section 2.2 LinearEquations-Graphs

The x intercept of the line is the point where y 0

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Unformatted text preview: ine is the point where y = 0. The y -intercept of the line is the point where x = 0. Example Find the intercepts of the line 2x − 3y = 4, then graph. Find the intercepts of the line −2x + y = 12, then graph. Applications Outline Linear Equations Graphing Linear Equations The Slope of a Line Applications The Slope of a Line Definition The slope of a line is the number m= Rise y2 − y1 Vertical Change = = Horizontal Change Run x2 − x1 where P (x1 , y1 ) and Q (x2 , y2 ) are two points on the line, and x1 = x2 . The slope of a line expresses how the line rises or falls as one mover from left to right. The slope expresses the rate of change of the line: ∆y . ∆x If m > 0, then the line rises to the right. If m < 0, then the line falls to the right. m= Outline Linear Equations Graphing Linear Equations The Slope of a Line Applications Examples Example Find the slope of the line passing through P (−2, 3) and Q (5, 8). While there are many exceptions, numerous studies have shown a close relationship between an average height and an average weight. Suppose a person 70 in. tall weighs...
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This note was uploaded on 02/10/2014 for the course MATH 1050 taught by Professor K.jplatt during the Spring '14 term at Snow College.

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