AnswersGA-Algebra Concepts and Connections CRAnalyzing Graphs

Applications of Slope and the Distance Formula Answers

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Which statement is true about the graphs of the two lines y = –6 and x = ?

Question illustration
A
The lines are perpendicular to each other because the graph of y = –6 is a horizontal line with a slope that is undefined, and the graph of x = is a vertical line with a slope of 0.
Option A
B
The lines are perpendicular to each other because the graph of y = –6 is a vertical line with a slope that is undefined, and the graph of x = is a horizontal line with a slope of 0.
Option B
C
The lines are perpendicular to each other because the graph of y = –6 is a vertical line with a slope of 0, and the graph of x = is a horizontal line with a slope that is undefined.
Option C
D
The lines are perpendicular to each other because the graph of y = –6 is a horizontal line with a slope of 0, and the graph of x = is a vertical line with a slope that is undefined.
Option D
2
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Question text not available

Question illustration
A
Yes, because the slope of is and the slope of is .
Option A
B
Yes, because the slope of is and the slope of is .
Option B
C
No, because the slope of is and the slope of is .
Option C
D
No, because the slope of is and the slope of is .
Option D
3

Which statement is true about the graphs of the two lines and ?

Question illustration
A
The lines are perpendicular to each other because –8 and are opposite reciprocals of each other.
Option A
B
The lines are perpendicular to each other because and are opposite reciprocals of each other.
Option B
C
The lines are neither parallel nor perpendicular to each other because –8 and are not opposite reciprocals of each other.
Option C
D
The lines are neither parallel nor perpendicular to each other because and are not opposite reciprocals of each other.
Option D
4

Which statement is true about the graphs of the two lines y = x + 2 and y = x ?

Question illustration
A
The lines are perpendicular to each other because and are opposite reciprocals of each other.
Option A
B
The lines are perpendicular to each other because 2 and are opposite reciprocals of each other.
Option B
C
The lines are neither parallel nor perpendicular to each other because and are not opposite reciprocals of each other.
Option C
D
The lines are neither parallel nor perpendicular to each other because 2 and are not opposite reciprocals of each other.
Option D
5

What is the slope-intercept form of the equation of the line that passes through the point (–6, 1) and is perpendicular to the graph of 2x + 3y = –5?

A
y = x – 8
Option A
B
y = x + 1
Option B
C
y = x + 1
Option C
D
y = x + 10
Option D
6

What is the slope of a line that is parallel to the line y = x + 2?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
7

What is the equation of the line that is parallel to the line x = –2 and passes through the point (–5, 4)?

A
x = –5
B
x = 4
C
y = –5
D
y = 4
8

Question text not available

Question illustration
A
No, the triangle has no right angles.
B
Yes, the right angle is angle A.
C
Yes, the right angle is angle B.
D
Yes, the right angle is angle C.
9

What is the equation of the line that is parallel to the line y = x + 4 and passes through the point (6, 5)?

Question illustration
A
y = x + 3
Option A
B
y = x + 7
Option B
C
y = 3x – 13
D
y = 3x + 5
10

Question text not available

Question illustration
A
Yes, because both lines have a slope of .
Option A
B
Yes, because both lines have a slope of .
Option B
C
No, because the slopes of the lines are not equal.
D
No, because the slopes of the lines are not opposite reciprocals of each other.
11

Triangle ABC is shown on the grid.

Question illustration
A
9 + units
Option A
B
9 + units
Option B
C
9 + units
Option C
D
9 + units
Option D
12

Point A lies on the circle and has an x-coordinate of –3.

Question illustration
A
Option
Option A
B
2.5
C
Option
Option C
D
2.8
13

Rectangle ABCD is shown on the grid.

Question illustration
A
square units
Option A
B
square units
Option B
C
17 square units
D
34 square units
14

Iliana wants to find the perimeter of triangle ABC. She uses the distance formula to determine the length of AB. Finish Iliana’s calculations to find the length of AB. What is the perimeter of triangle ABC? Round the answer to the nearest tenth, if necessary.

Question illustration
A
10 units
B
11 units
C
12 units
D
13 units
15

Consider the graph of quadrilateral ABCD.

Question illustration
A
square
B
rectangle
C
parallelogram
D
rhombus
16

Helena wants to find the perimeter of the graphed quadrilateral ABCD.

Question illustration
A
side AB
B
side BC
C
side CD
D
side DA
17

Consider the graph of quadrilateral WXYZ.

Question illustration
A
square
B
rectangle
C
parallelogram
D
rhombus
18

Tomas is finding the coordinates of point A. He knows that point A has an x-coordinate of 8. He starts to compute the value of the y-coordinate. Complete Tomas’s work to answer the question. Which is the coordinate of point A?

Question illustration
A
(8, –6)
B
(–6, 8)
C
(6, –8)
D
(–8, –6)
19

Consider the graph of quadrilateral WXYZ.

Question illustration
A
square
B
rectangle
C
parallelogram
D
rhombus
20

For the quadrilateral on the grid, the slope of WX is 0, the slope of XY is , the slope of YZ is 0, and the slope of ZW is .

Question illustration
A
The difference of the slope of adjacent sides is .
Option A
B
The slopes of adjacent sides are opposite reciprocals.
C
The opposite sides have the same slope.
D
XY and YZ have the same slope.

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