3.4 Notes (filled in)

# 3.4 Notes (filled in) - 3.4a The Slope of a Line Slope m =...

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Unformatted text preview: 3.4a The Slope of a Line Slope m = change in x (verTical changel Change in x (horizonTal change) If a line passes Through poinTs (x1, Y1) and (X2, ya) The slope rn of The line is rise yaw yi m _ — — , as long as xzixl run JCZ—Xl Examples: xi Y: XL ll; Find The slope of The line conTaining The poinTs (0,3) and (2,5). Graph The line. “PM a 6—3 : 9:— :6) Xl'xl 2&0 Find The slope of The line conTaining The poinTs (5-4) and (-3.3). Graph The line. —----~~--_ Slope-InTercepT Form: y = mx + b When a linear equaTion in Two variables is wriTTen in slope—inTercepT form, Then m is The slope of The line and (0b) is The y-inTercepT of The line. Examples: Find The slope and The y-inTercepT of The line 2x - 4y 2 8 QrgT solve Sior Y 1 ‘Z“ "1X r 4y 2 '3: Jr: :71— —q ~ Li Find the slope of the line x = -2 - /\ DO SlopQ l . _. UV’XCEQ—QWQC) J Find the slope of the line y = 7 i Slop“: 1’ O The slope of any vertical line is undefined The slope of any horizontal line is O. Summary: Positive slope Negative slope Undefined slope Zero slope \q l . 1 \\ E ! x3 g \L For a line with positive slope m, as m increases, the line becomes steeper. «Er—“f” "3' Homework: 10/12 Ch.3 #5 p. 177 #1—36 all 3.4b The Slope of a Line Parallel Lines Two lines are parallel if They have The same slope and differenT y-inTer'cest. 1—? Mg keel 5am Blopﬂ. and some y-lh‘lefcqcf‘l Maul would be The Same linel Perpendicular Lines Two lines are perpendicular if The producT of Their slopes is -1. (This means ThaT The slope of one is The negaTive reciprocal of The slope of The oTher'.) Gloom Q, Jth S”: h 0‘ Q} I‘l‘l 9x. Beans-E. 3:311:334 Example: 5 Z 3 2 U Are The following pairs of lines parallel, perpendicular, or- neiTher? a) 3x+7y=4 and 6x+14y=7 VivsT SolUQ. ¥or L1: {4‘1 - 4”“? Applications (Word Problems) - @321 Chmfie : 510m Suppose yo:saloiip§aoses by IZOD/year- nd That you currently earn \$39,400. Use an equation To predicT your salary in 5 years. /,../,/"/ : 00‘ X + j 2 Y .miJiijlogoxku‘Q 1F A r S vleal/‘S Sira'r n PM“ I , Viwaﬁr V 2 @005) *BHAGD , \l ﬁwsyqoo . Homework: 10/13/10 C113 #6 p. 177 #37—87 odd ...
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## 3.4 Notes (filled in) - 3.4a The Slope of a Line Slope m =...

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