4 The equation of the line CD passing through the origin is y = 3x. Write down the equa- %3D tion of this line when it is (a) translated up by 4 units to give line PQ (b) translated down by 3 units to give line 1 RS. (c) draw the three lines on the same axes. 5 Determine the equation of a line that cuts the y-axis at -3 that is parallel to the line

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
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No 4
Essential mathematics for senior seconda
Essential mathematics for senior second
76
4 The equation of the line CD passing through
the origin is y = 3x. Write down the equa-
tion of this line when it is
(a) translated up by 4 units to give line PQ
(b) translated down by 3 units to give line
RS.
(c) draw the three lines on the same axes.
5 Determine the equation of a line that cuts
the y-axis at -3 that is parallel to the line
with equation 3x - 2y = -5.
6 Determine the equation of a line that passes
through (4, 3) that is parallel to the line with
equation 4y – x - 5 = 0.
7 Find the gradient of a line perpendicular to:
y
-2
(a) 2y-3x=-5 (b)
4
%3D
3
6.6 Finding the Equations of a
Straight Line
(a) The equation of a line can be found if the
gradient of the line and a noint on the line
Transcribed Image Text:Essential mathematics for senior seconda Essential mathematics for senior second 76 4 The equation of the line CD passing through the origin is y = 3x. Write down the equa- tion of this line when it is (a) translated up by 4 units to give line PQ (b) translated down by 3 units to give line RS. (c) draw the three lines on the same axes. 5 Determine the equation of a line that cuts the y-axis at -3 that is parallel to the line with equation 3x - 2y = -5. 6 Determine the equation of a line that passes through (4, 3) that is parallel to the line with equation 4y – x - 5 = 0. 7 Find the gradient of a line perpendicular to: y -2 (a) 2y-3x=-5 (b) 4 %3D 3 6.6 Finding the Equations of a Straight Line (a) The equation of a line can be found if the gradient of the line and a noint on the line
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