AnswersGeometry VIA Fall 26 clyonssdale.orgEquations of Parallel and Perpendicular Lines

Equations of Parallel and Perpendicular Lines — Unit test Answers

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The depth of snow after n hours of a snowstorm is represented by the function f(n + 1) = f(n) + 0.8 where f(0) = 2.5. Which statement describes the sequence of numbers generated by the function?

A
The depth of snow was 0.8 inches when the storm began, and 2.5 inches after the first hour of the storm.
B
The depth of snow was 1.7 inches when the storm began, and 0.8 inches of snow fell each hour.
C
The depth of snow was 2.5 inches when the storm began, and increased by 0.8 inches each hour.
D
The depth of snow was 3.3 inches when the storm began, and 2.5 inches of snow fell in 1 hour.
2
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What is the equation of the line in slope-intercept form that is perpendicular to the line y = x – 2 and passes through the point (–12, 10)?

Question illustration
A
y = x – 6
Option A
B
y = x + 6
Option B
C
y = x + 26
Option C
D
y = x + 10
Option D
3

The function f(x) is shown on the graph.

Question illustration
A
0 only
B
–6 only
C
–2, –1, 1, and 3 only
D
–6, –2, –1, 1, and 3 only
4

What is the inverse of the function f(x) = x +3?

A
h(x) = x + 3
Option A
B
h(x) = x – 3
Option B
C
h(x) = x – 3
D
h(x) = x + 3
5

A coordinate plane with 2 lines drawn. The first line is labeled f(x) and passes through the points (0, negative 2) and (1, 1). The second line is labeled g(x) and passes through the points (negative 4, 0) and (0, 2). The lines intersect at about (2.5, 3.2)

Question illustration
A
The slope of g(x) is the opposite of the slope of f(x).
B
The slope of g(x) is less than the slope of f(x).
C
The slope of g(x) is greater than the slope of f(x).
D
The slope of g(x) is equal to the slope of f(x).
6

Consider the function represented by the equation x – y = 3. What is the equation written in function notation, with x as the independent variable?

A
f(x) = y + 3
B
f(x) = –y – 3
C
f(x) = –x + 3
D
f(x) = x – 3
7

Question text not available

Question illustration
A
−2
B
Option
Option B
C
Option
Option C
D
2
8

Which graph represents a function?

A
Option
B
Option
C
Option
D
Option
9

Mrs. Jackson gives the table below to her students.

Question illustration
A
a = 22 because the rate of change is 1.
B
a = 20 because the rate of change is 3.
C
a = 22 because the rate of change is –1.
D
a = 20 because the rate of change is –3.
10

The function f(x) is shown on the graph.

Question illustration
A
0 only
B
–6 only
C
–2, 1, or 3 only
D
–6, –2, 1, or 3 only
11

What is the slope of a line that is perpendicular to the line x = –3?

A
–3
B
0
C
Option
Option C
D
undefined
12

On a coordinate plane, a red line, labeled g of x, begins on a negative slope, crosses the x-axis at (negative 2, 0), the y-axis at (0, negative 2), and crosses the x-axis on a positive slope at (2, 0). A straight blue line with a negative slope, labeled f of x, crosses the y-axis at (0, 2) and the x-axis at (2, 0).

Question illustration
A
f(2) = g(2)
B
f(0) = g(0)
C
f(2) = g(0)
D
f(0) = g(2)
13

The table shows ordered pairs of the function y = 16 + 0.5x .

Question illustration
A
(0, 18)
B
(5, 19.5)
C
(8, 20)
D
(10, 21.5)
14

To graph the equation 2x + 5y = 10, Zeplyn draws a line through the points (5, 0) and (0, 2). What is the slope of the line represented by 2x + 5y = 10?

A
negative StartFraction 5 Over 2 EndFraction
Option A
B
negative StartFraction 2 Over 5 EndFraction
Option B
C
StartFraction 2 Over 5 EndFraction
Option C
D
StartFraction 5 Over 2 EndFraction
Option D
15

The table represents a linear function.

Question illustration
A
–8
B
–4
C
2
D
5

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