Section 2.2 LinearEquations-Graphs

Tall weighs 165 lb while a person 64 in tall weighs

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Unformatted text preview: 165 lb, while a person 64 in. tall weighs 142 lb. Assuming the relationship is linear, find the slope of the line and discuss its meaning in this context. Determine how many pounds are added for each inch of height. Outline Linear Equations Graphing Linear Equations The Slope of a Line Horizontal and Vertical Lines A vertical line is a line having standard form x = h. A vertical line has undefined slope. A horizontal line is a line having standard form y = k . A horizontal line has slope 0. Example x = −3 is the vertical line passing through (−3, 0). y = 7 is the horizontal line passing through (0, 7). Applications Outline Linear Equations Graphing Linear Equations The Slope of a Line Applications Parallel Lines Definition Two distinct lines are parallel if they do not intersect. Theorem Suppose L1 is a line with slope m1 and L2 is a line with slope m2 . Then L1 is parallel to L2 if and only if m1 = m2 . In this case we write L1 L2 . Example Two vertical lines are parallel. Show that if L1 passes through (−2, 0) and (0, 6), and if L2 passes through (1, 8) and (0, 5), then L1 L2 . Show t...
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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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