AnswersOC27 GEO-1206310-S1-Degele-VOL7006PSlopes of Parallel and Perpendicular Lines

Slopes of Parallel and Perpendicular Lines — Unit test Answers

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A coordinate plane with a line passing through (0, negative 3), (2, 0), and (4, 3).

Question illustration
A
–3x + 2 = y
B
–x + 2 = y
Option B
C
x – 3 = y
Option C
D
2x – 3 = y
2
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The velocity of an object in meters per second varies directly with time in seconds since the object was dropped, as represented by the table.

Question illustration
A
4.9
Option A
B
9.8
Option B
C
10.2
Option C
D
19.6
Option D
3

Line CD passes through points C(3, –5) and D(6, 0). What is the equation of line CD in standard form?

A
5x + 3y = 18
B
5x – 3y = 30
C
5x – y = 30
D
5x + y = 18
4

Which equation represents the line that passes through (–6, 7) and (–3, 6)?

A
y = –x + 9
Option A
B
y = –x + 5
Option B
C
y = –3x – 11y
D
y = –3x + 25
5

What is the slope of a line that is perpendicular to the line y = 8x + 5?

A
−8
B
Option
Option B
C
Option
Option C
D
8
6

On a number line, a number, b, is located the same distance from 0 as another number, a, but in the opposite direction. The number b varies directly with the number a. For example b = 2 when a = –2. Which equation represents this direct variation between a and b?

Question illustration
A
b = –a
B
–b = –a
C
b – a = 0
D
b(–a) = 0
7

On a coordinate plane, 2 lines are shown. Line H J has points (negative 4, negative 2) and (0, 4). Line F G has points (negative 4, 1) and (0, negative 2).

Question illustration
A
They are perpendicular because their slopes are equal.
B
They are perpendicular because their slopes are negative reciprocals.
C
They are not perpendicular because their slopes are equal.
D
They are not perpendicular because their slopes are not negative reciprocals.
8

What is the slope of the line represented by the equation f(t)=2t−6?

A
The slope is 2 and the y-intercept is −6.
B
The slope is −6 and the y-intercept is 2.
C
The slope is 2 and the y-intercept is 6.
D
The slope is 6 and the y-intercept is 2.
9

Alejandro made an error in the steps below when determining the equation of the line that is perpendicular to the line 4x – 3y = –8 and passes through the point (3, –2).Alejandro made his first error in which step?

Question illustration
A
Step 1
B
Step 2
C
Step 3
D
Step 4
10

On a coordinate plane, line A B goes through (negative 2, 4) and (0, negative 4). Point Z is at (0, 2).

Question illustration
A
(–4, 1)
B
(1, –2 )
C
(2, 0)
D
(4, 4)
11

Alejandra correctly wrote the equation y – 3 = (x – 10) to represent a line that her teacher sketched. The teacher then changed the line so it had a slope of 2, but still went through the same point. Which equation should Alejandra write to represent the new line?

Question illustration
A
y – 6 = 2(x – 10)
B
y – 2 = (x – 10)
Option B
C
y – 3 = (x – 2)
Option C
D
y – 3 = 2(x – 10)
12

A line contains points M(1, 3) and N(5, 0). What is the slope of MN?

A
negative StartFraction 4 Over 3 EndFraction
Option A
B
negative StartFraction 3 Over 4 EndFraction
Option B
C
StartFraction 3 Over 4 EndFraction
Option C
D
StartFraction 4 Over 3 EndFraction
Option D
13

A coordinate plane from negative 8 to 8 along the x-axis and from negative 7 to 7 along the y-axis.

Question illustration
A
1. Plot the point (2, 4).2. From that point, count left 3 units and down 1 unit and plot a second point. 3. Draw a line through the two points.
B
1. Plot the point (2, 4).2. From that point, count left 1 unit and down 3 units and plot a second point. 3. Draw a line through the two points.
C
1. Plot the point (–2,4).2. From that point, count left 3 units and down 1 unit and plot a second point. 3. Draw a line through the two points.
D
1. Plot the point (–2,4).2. From that point, count left 1 unit and down 3 units and plot a second point. 3. Draw a line through the two points.
14

Which of these values could be the slope of the line? Select two options.

A
–2
B
Option
Option B
C
0
D
Option
Option D
E
3
15

The graph shows the amount of money Miguel earns after working x hours.

Question illustration
A
hours per dollar
Option A
B
hours per dollar
Option B
C
3 dollars per hour
D
13 dollars per hour
16

The table shows the profit from a school book fair based on the number of books sold.

Question illustration
A
$0.50 per book
B
$0.67 per book
C
$1.07 per book
D
$1.50 per book
17

A store offers packing and mailing services to customers. The cost of shipping a box is a combination of a flat packing fee of $5 and an amount based on the weight in pounds of the box, $2.25 per pound. Which equation represents the shipping cost as a function of x, the weight in pounds?

A
f(x) = 2.25x + 5
B
f(x) = 5x + 2.25
C
f(x) = 2.25x − 5
D
f(x) = 5x − 2.25
18

Question text not available

Question illustration
A
−4
B
Option
Option B
C
Option
Option C
D
4
19

What is the y-intercept of the function f(x)=4 – 5x?

A
–5
B
–4
C
4
D
5
20

Which is the graph of the equation ?

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

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