This preview shows pages 1–4. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
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 (54) and (3.3). Graph The
line. —~~_ SlopeInTercepT 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 yinTercepT of The line. Examples:
Find The slope and The yinTercepT 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
yinTer'cest. 1—? Mg keel 5am Blopﬂ. and some ylh‘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. BeansE. 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 ...
View Full
Document
 Spring '08
 HELENIUS

Click to edit the document details