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Section%202.3

# Section%202.3 - H Fatwa l MA 180 Precalcuius Professor...

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Unformatted text preview: H Fatwa l / MA 180 - Precalcuius Professor Terry Section 2.3: Lines Deﬁnition of the Slo e of a Line Let I be a line that is not parallel to the y—axis. and let 131(x1,y1) and Pz(x2,y2) be distinct points on I. _The slope m of I is ‘41-2‘2‘2 ”as: M m 2 Mme 1e Xz—Kt 06km? m K aWcuo f. If! is parallel to the yvaxis, then the slope of I is not deﬁned. CV Win 649 l t rtc) Sketch the line through A and B. and ﬁnd its slope m. A(4, —1), B(-6, -3) *3—00 2 -—Z—'— '3— ‘IO /vit.z ”l-C-327 Lf‘C‘U -2 .3... _ 10 " 5' Sketchin a Line with a Given Slo e Sketch the graph of the line through P for each value of m. P(-2, -4); m=L~ll 2 2 M ‘2 it 4%, "— ”T M =2 *“ MA180 SecZ.3 Fall05 ewt ;) E Horizontal Line Deﬁnition: A line parallel to the _X_—axis. if b is any real number, then % 2 b is the equation of a horizontal line. L4- m =0 l f1 ' Complete the table and draw the graphs L 7 8,. {4‘ of I yl =4 and y; =—3. 8a 3 0" 3“?) ”'4 Vertical Line Deﬁnition: A line parallel to the k-axis. If a is any real number, then X=Gk is the equation of a vertical line. bf M 2 UV) €162;ng Lf Complete the table and draw the graphs of XI=0 and J62=2. MA180 3&623 Fall05 ewt XI :2 0 Q'té-ty“ ZO ___. ' ’ ’ :' "..' ’ ' " W i Find a general form of an equation of a line through the point A that satisﬁes the 'gi condition. A(—4,2) a) Parallel to the x—axis. Ho vew] caulk/Q Lune, (ii: 0 X —(- (D b) Perpendicular to the x—axis. V WTL (.1029 Lung x24 E Equation of a Line General Form for the Equation of a Line: The graph of a linear equation ax + by = c is a line. and conversely. every line is the graph of a linear equation. Point-Slope Form for the Equation of a Line: An equation for the line through the point (x1, y1) with slope m is ‘ I Slope-Intercept Form for the Equation of a Line: The graph 0. a line having SIOpe m and y—intercept b; Find the slope-intercept form of the line having x—intercept —5 and y-intercept _1_ (35(0) (0‘1) ‘ (K \1- mirawfi‘i’ mat—t b MN] 80 3602.3 Fai105 BWi Parallel Lines Theorem on Sloges of Parallel Lines: Two nonvertical lines are parallel if and only if they have the Emma glogz. _ Find a general form for the equation of the line through the point A(«3,5) that is parallel to the hegaJwa rte copra (- m9 eneral farm of an equation for the perpendicular bisector of the segment AB. - . 0). Email ca i092 0Q EB (G W) '2. {O_____.._Q 2.3:— : “(:1- M —2_-..{ 3-0: 5 -3“ PMPMLIQAJZW (QR—(W z a» :91 - age \ 3 I? 3‘ '+ “c MA1BOSec2.3Fa[105ewt m x ._, Q’Q . E X ﬂ __ 2’1 5i Ej’SCcUL? CU/é dew ur f___a_ _ %X~‘I-(Jg=-1l Cheese production A cheese manufacturer produces 18,000 pounds of_cheese from January 1 through March 24. Suppose that this rate of production continues for the remainder of the year. ' a) Express the number y of pounds of cheese produced interms of the number x of the day in a 365-day year. _ ‘ ‘ “ L_, 41/ (@910) ahﬂm‘é Ur LN C mg ) (95 \ [300% , (”W2 t‘B‘OOO” 0 (\$800 b) Predict, to the nearest pound, the number of pounds produced for the year. i 1%0‘39) ale/Q28. 3m W QW’XM 3'5 (9:? (ﬂeece: Pro @0456 MA180 Ser2.8 Fa||05 ewl ...
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