Section 2.2 LinearEquations-Graphs

# Show that if l1 passes through 3 4 and 0 1 and if l2

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Unformatted text preview: hat if L1 passes through (−3, −4) and (0, 1), and if L2 passes through (0, 0) and (−4, 4), then L1 is not parallel to L2 . Outline Linear Equations Graphing Linear Equations The Slope of a Line Applications Perpendicular Lines Deﬁnition Two distinct lines are perpendicular if they intersect at right angles. Theorem Suppose L1 is a line with slope m1 and L2 is a line with slope m2 . Then L1 is perpendicular to L2 if and only if m1 m2 = −1. In this case we write L1 ⊥ L2 . Example A horizontal line is perpendicular to a vertical line. Show that the points (−3, 7), (2, 2), and (5, 5) form a right triangle. Outline Linear Equations Graphing Linear Equations The Slope of a Line Applications An Application Example When empty, a large dump-truck gets about 15 miles per gallon of fuel. It is estimated that for each 3 tons of cargo it hauls, fuel mileage decreases by 3 miles per gallon. 4 1 If the dump-truck carries 10 tons of cargo, what is the truck’s mileage? 2 If the truck is getting 10 miles per gallon, how much weight is it carrying?...
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