2. Find the equations of the straight lines that pass throúgh the following'sets of points: 21 (2; 4); (4; 7) 2.3 (1; 3); (-3; 1) 2.2 (3;-5); (-2;2) 2.4 (4;-1); (-2; -2)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
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Chapter3: Functions And Graphs
Section3.3: Lines
Problem 10E
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analytical geometry
2. Find the equations of the straight lines that pass throúgh the following'sets
of points:"
2 (2; 4); (4; 7)
23 (1; 3);'(-3; 1)
2.2 (3;-5); (-2;2)
2.4 (4;-1); (-2; -2)
3. Find the equations of the following straight lines:
3.1 cuts the y-axis at-2 and has a gradient of-3
3.2 cuts the y-axis at-5 and the x-axis at 3
3:3 cuts the x-axis at p.and the ji-axis at q.
4. Find the equations of the following lines:
4.1- passes through the origin with a gradient of-2
4.2. passes throngh (3; 1), is parallel to y= 3r-1
4.3 passes through (--1; 2), is parallel to the line through:(2; -1) and (–1; 7).*
' 4.4 passes through (3;–1), is parallel to 6x+ 3y= 9.
. 4.5: cuts the y-axis at-2, and is parallel to the line thät cuts the y-axis at 2 and
the x-axis at-4. h
5. Find the equations of the following lines:
5.1 passes through the origin and is perpendicular to y= 3x-1.
51" passes through (0; 2) and is perpendicular to y-+5
5.3. cuts the y-axis at -4 and is perpendicular to x+ 2y 6
5.4, cuts the y-axis at -2.and is perpendicular to the line through (3; 2)
and (1; 6)
55.: passes through (2; 5) and is perpendicular to the line through (1; 4)
and (3; 2)
passes, through (2; 1) and is perpendicular to the line through (-3; 2)
and (2; 4).
5.6
Transcribed Image Text:2. Find the equations of the straight lines that pass throúgh the following'sets of points:" 2 (2; 4); (4; 7) 23 (1; 3);'(-3; 1) 2.2 (3;-5); (-2;2) 2.4 (4;-1); (-2; -2) 3. Find the equations of the following straight lines: 3.1 cuts the y-axis at-2 and has a gradient of-3 3.2 cuts the y-axis at-5 and the x-axis at 3 3:3 cuts the x-axis at p.and the ji-axis at q. 4. Find the equations of the following lines: 4.1- passes through the origin with a gradient of-2 4.2. passes throngh (3; 1), is parallel to y= 3r-1 4.3 passes through (--1; 2), is parallel to the line through:(2; -1) and (–1; 7).* ' 4.4 passes through (3;–1), is parallel to 6x+ 3y= 9. . 4.5: cuts the y-axis at-2, and is parallel to the line thät cuts the y-axis at 2 and the x-axis at-4. h 5. Find the equations of the following lines: 5.1 passes through the origin and is perpendicular to y= 3x-1. 51" passes through (0; 2) and is perpendicular to y-+5 5.3. cuts the y-axis at -4 and is perpendicular to x+ 2y 6 5.4, cuts the y-axis at -2.and is perpendicular to the line through (3; 2) and (1; 6) 55.: passes through (2; 5) and is perpendicular to the line through (1; 4) and (3; 2) passes, through (2; 1) and is perpendicular to the line through (-3; 2) and (2; 4). 5.6
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