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by: Aileen Davis

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ElementaryAlgebra MATH0000A

Aileen Davis

GPA 3.77

Staff

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COURSE
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Staff
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Class Notes
PAGES
3
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KARMA
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Popular in Mathematics (M)

This 3 page Class Notes was uploaded by Aileen Davis on Tuesday October 20, 2015. The Class Notes belongs to MATH0000A at Sierra College taught by Staff in Fall. Since its upload, it has received 10 views. For similar materials see /class/225382/math0000a-sierra-college in Mathematics (M) at Sierra College.

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Date Created: 10/20/15
Math A 43 Since all lines have the same shape one of the important characteristics of a line is how steep it is We call this the slope of the line De nition 01 The slope of the line through the distinct points zhyl and 27112 i8 Change in y Rise yg yl Sl 7 Ope Change in to Run 562 1 Draw the picture of the slope of a line Note that it does not matter which point you label ahyl and which one you label 2y2 But it is very important to stay consistent once the assignment is made Example 01 Find the slope of the line passing through each pair of points 0 31 and 54 17111 am fg ayz i w i Rise i yryl i 471 3 Slope 7 Change in 1 Run x2711 53 2 0 25 and 35 1791 and 27112 Slopemi7 7575 00 Change in z 7 Run 12711 372 1 0 11 and 12 17111 am gfayz R i ange in y i ise i ygiyl i 271 i 1 i 39 Slope 7 Change in z 7 Run 7 12711 i 171 i 0 i undeflned This line is not afunction since it clearly fa39ls the vertical line test S You should be able to estimate slopes by sight positive slope negative slope slope0 slope is unde ned s 4 o 2 3 4 5 1 2 Discuss equations of horizontal and vertical lines Property 01 Parallel Lines 1 If two lines are parallel then they have the same slope 2 If two lines have the same slope then they are parallel Property 02 Perpendicular Lines 1 If two lines are perpendicular then the product of their slopes is 71 2 If the slopes of two lines have a product of 71 then the lines are per pendicular Example 02 Determine whether the lines through each pair of points are parallel perpendicular or niether o 7277lt313gt and 17 975715 First Line slope 2572 2570 4 Second Line slope 15519 E 4 6 The two lines have the same slope so they are parallel o 72715lt073 andlt7126lt63 First Line slope 7353 L22 6 3 Second Line slope 1 67712 18 i 6 The two lines have slope 6X73 71 thus they are perpendicular o 7141 75 andlt078lt1276gt First Line slope 7513 g 6 76778 2 1 1270 12 6 The two lines have slope 6 1 thus they are NOT perpendicular or parallel Second Line slope

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