AnswersCA-Mathematics ISlope-Intercept Form of a Line

Slope-Intercept Form of a Line — Unit test Answers

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Mr. Shaw graphs the function f(x) = –5x + 2 for his class. The line contains the point (-2, 12). What is the point-slope form of the equation of the line he graphed?

y
y – 12 = –5(x + 2)
y
y – 12 = 2(x + 2)
y
y + 12 = 2(x – 2)
y
y + 12 = –5(x – 2)
2
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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?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
3

A direct variation function contains the points (–9, –3) and (–12, –4). Which equation represents the function?

A
y = –3x
B
y = –
Option B
C
y =
Option C
D
y = 3x
4

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.
5

The table represents a linear function.

Question illustration
–
–10
–
–5
5
5
1
10
6

At a glance, Kendra believes that the function represented on the graph is linear.

Question illustration
A
She can check to see if the rate of vertical increase equals the rate of horizontal increase between each pair of points.
B
She can check to see if the sum of each y-value and x-value in every ordered pair is the same.
C
She can check to see if the quotient of each y-value and x-value in every ordered pair is the same.
D
She can check to see if the rate of change between the first two ordered pairs is the same as the rate of change between the first and last ordered pairs.
7

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.
8

A line is drawn through (–4, 3) and (4, 3). Which describes whether or not the line represents a direct variation?

A
The line represents a direct variation because = .
Option A
B
The line represents a direct variation because it is horizontal.
C
The line does not represent a direct variation because it does not go through the origin.
D
The line does not represent a direct variation because –4(3) ≠ 4(3).
9

Which table represents a linear function?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
10

A coordinate plane with a line passing through points at (0, negative 2) and (4, negative 1).

Question illustration
A
y = 4x – 2
B
y = –4x – 2
C
y = x – 2
Option C
D
y = – x – 2
Option D
11

Raphael graphed the functions g(x)=x+2 and f(x)=x−1. How many units below the y-intercept of g(x) is the y-intercept of f(x)?

Question illustration
A
−3 units
B
−1 units
C
2 units
D
3 units
12

A coordinate plane with a line passing through (negative 4, 3), (0, 1), and (4, negative 1).

Question illustration
f
f(x) = –2x + 1
f
f(x) = –x + 1
Option f
f
f(x) = x + 1
Option f
f
f(x) = 2x + 1
13

The table represents a linear function.

Question illustration
–
–8
–
–4
2
2
5
5
14

Which table represents a linear function?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
15

Tracie rides the bus home from school each day. The graph represents her distance from home relative to the number of minutes since the bus left the school.

Question illustration
A
Tracie’s bus travels towards her home at an average speed of mile per minute.
Option A
B
Tracie’s bus travels towards her home at an average speed of 2 miles per minute.
C
Tracie’s bus travels away from her home at an average speed of mile per minute.
Option C
D
Tracie’s bus travels away from her home at an average speed of 2 miles per minute.

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