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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 ‘412‘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
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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
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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
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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 kaxis. 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'téty“ 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. PointSlope Form for the Equation of a Line: An equation for the line through the point (x1, y1) with
slope m is ‘ I SlopeIntercept Form for the Equation of a Line: The graph 0. a line having SIOpe m and
y—intercept b; Find the slopeintercept form of the line having x—intercept —5 and yintercept _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.  .
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_ %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 365day 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
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 Spring '08
 Terry

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