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
SectionP.CT: Test
Problem 1CT
Related questions
Question
![1 Rewrite the following equations in point-
gradient form:
6.
b y-3 = -2(x – 8)
-x +y = 2
1
c 2x+4y = --
3
a
2 Find the points of intersection of the lines
with equations:
a
y = --x-7 and y = -5x + 10
b y-1=-(x – 4) and y = 0
c -x+ 3y = -2 and -x-y=2.
4
3 Determine what kind of quadrilateral is
formed by the following points:
M(-2,-1), L(1,3), T(5,0) and H(2,-4).
4 Three lines with equations y = -x + 3,
y-x- and y-x-을
21
intersect at
8
6.
three points and form a triangle. Find:
a the coordinates of these three points
b the lengths of the sides of the triangle
c the perimeter of the triangle.
5 Line [OB], shown in the diagram,
represents Petya's walk to work.
a Find the number of km that Petya
walks in 1 hour.
y
6
4
B
Distance (km) 3
2
1
1
3
4
6
7
Time (hours)
b Maria also walks to work. She walks
5 km in 1.6 hours.
Determine who walks faster. Assume
they each walk at a constant rate.
Justify your conclusion.
c Write down equations of the lines
describing Petya's and Maria's walks.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7682c2dd-32fe-40c3-bea4-e2ab46c62205%2F6b26bea8-09a3-4284-a1a1-11971c402b81%2Fwqdtv9d_processed.png&w=3840&q=75)
Transcribed Image Text:1 Rewrite the following equations in point-
gradient form:
6.
b y-3 = -2(x – 8)
-x +y = 2
1
c 2x+4y = --
3
a
2 Find the points of intersection of the lines
with equations:
a
y = --x-7 and y = -5x + 10
b y-1=-(x – 4) and y = 0
c -x+ 3y = -2 and -x-y=2.
4
3 Determine what kind of quadrilateral is
formed by the following points:
M(-2,-1), L(1,3), T(5,0) and H(2,-4).
4 Three lines with equations y = -x + 3,
y-x- and y-x-을
21
intersect at
8
6.
three points and form a triangle. Find:
a the coordinates of these three points
b the lengths of the sides of the triangle
c the perimeter of the triangle.
5 Line [OB], shown in the diagram,
represents Petya's walk to work.
a Find the number of km that Petya
walks in 1 hour.
y
6
4
B
Distance (km) 3
2
1
1
3
4
6
7
Time (hours)
b Maria also walks to work. She walks
5 km in 1.6 hours.
Determine who walks faster. Assume
they each walk at a constant rate.
Justify your conclusion.
c Write down equations of the lines
describing Petya's and Maria's walks.
Transcribed Image Text:6 A student has graphed some equations
incorrectly. Determine which equations
have been incorrectly graphed, the error
in graphing and the equations of the lines
that have been graphed instead.
Draw the graph of the correct line if there
is an error.
a Line with equation y = 5x – 3
y
-11
9 10 11
3
4
6
-2
F3
|-4
-5
-6-
b Line with equation x = 5
y
6
-5
4
3
2-
2
3 4
5
6
c Line with equation -20x+ 55y = 22
y
6-
5-
3
1.
6.
8.
+2
13
7 Find the equation of a line parallel to:
a the line y =-x+5 and passing
through (0,0)
b the line 0.5x – 3y = 8 and passing
through (-3, –1).
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