AnswersJunior Studies Math - A Mrs. Hitchcock 26-27Comparing Slopes and Intercepts

Comparing Slopes and Intercepts Answers

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1
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Which linear function has the steepest slope?

A
y = negative 8 x + 5
Option A
B
y minus 9 = negative 2 (x + 1)
Option B
C
y = 7 x minus 3
Option C
D
y + 2 = 6 (x + 10)
Option D
2
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Which table represents a linear function that has a slope of 5 and a y-intercept of 20?

A
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 4, 0, 4, 8. Column 2 is labeled y with entries 0, 20, 40, 60.
Option A
B
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 4, 0, 4, 8. Column 2 is labeled y with entries 0, negative 20, negative 40, negative 60.
Option B
C
A 2-column table with 4 rows. Column 1 is labeled x with entries 0, 20, 40, 60. Column 2 is labeled y with entries negative 4, 0, 4, 8.
Option C
D
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 60, negative 40, negative 20, 0. Column 2 is labeled y with entries 8, 4, 0, negative 4.
Option D
3

A linear function has an y-intercept of and a slope of . How does this function compare to the linear function that is represented by the table?xy

Question illustration
A
It has the same slope and the same y-intercept.
B
It has the same slope and a different y-intercept.
C
It has the same y-intercept and a different slope.
D
It has a different slope and a different y-intercept.
4

What are the slope and the y-intercept of the linear function that is represented by the graph?

Question illustration
A
The slope is , and the y-intercept is 3.
Option A
B
The slope is , and the y-intercept is 4.
Option B
C
The slope is , and the y-intercept is 3.
Option C
D
The slope is , and the y-intercept is 4.
Option D
5

Which linear function has the steepest slope?

A
On a coordinate plane, a line goes through points (0, 1) and (1, negative 2).
Option A
B
A 2-column table with 4 rows. Column 1 is labeled x with entries 3, 6, 9, 12. Column 2 is labeled y with entries 10, 13, 16, 19.
Option B
C
On a coordinate plane, a line goes through points (0, negative 2) and (1, 0).
Option C
D
A 2-column table with 4 rows. Column 1 is labeled x with entries 2, 4, 6, 8. Column 2 is labeled y with entries negative 4, negative 12, negative 20, negative 28.
Option D
6

Which linear function has the same slope as the one that is represented by the table?xy0

Question illustration
A
y = negative one-half x + StartFraction 1 Over 10 EndFraction
Option A
B
y = negative one-fifth x + one-half
Option B
C
y = one-fifth x minus one-half
Option C
D
y = one-half x minus StartFraction 1 Over 10 EndFraction
Option D
7

What are the slope and the y-intercept of the linear function that is represented by the table?xy–3180123660

A
The slope is –2, and the y-intercept is 6.
B
The slope is –2, and the y-intercept is 12.
C
The slope is 2, and the y-intercept is 6.
D
The slope is 2, and the y-intercept is 12.
8

What are the slope and the y-intercept of the linear function that is represented by the graph?

Question illustration
A
The slope is 3, and the y-intercept is 9.
B
The slope is 3, and the y-intercept is 12.
C
The slope is 4, and the y-intercept is 9.
D
The slope is 4, and the y-intercept is 12.
9

What are the slope and the y-intercept of the linear function that is represented by the table?xy

Question illustration
A
The slope is , and the y-intercept is .
Option A
B
The slope is , and the y-intercept is .
Option B
C
The slope is , and the y-intercept is .
Option C
D
The slope is , and the y-intercept is .
Option D
10

A linear function has a slope of and a y-intercept of 3. How does this function compare to the linear function that is represented by the equation ?

Question illustration
A
It has the same slope and the same y-intercept.
B
It has the same slope and a different y-intercept.
C
It has the same y-intercept and a different slope.
D
It has a different slope and a different y-intercept.
11

Which linear function has the greatest y-intercept?

A
y = 6 x + 1
Option A
B
On a coordinate plane, a line goes through points (0, 2) and (5, 0).
Option B
C
On a coordinate plane, a line goes through points (1, 2) and (0, negative 3).
Option C
D
y = 3 x + 4
Option D
12

What are the slope and the y-intercept of the linear function that is represented by the equation ?

Question illustration
A
The slope is –2, and the y-intercept is 9.
B
The slope is 2, and they y-intercept is 9.
C
The slope is 9, and the y-intercept is –2.
D
The slope is 9, and the y-intercept is 2.
13

Consider the linear function that is represented by the equation and the linear function that is represented by the graph below. Which statement is correct regarding their slopes and y-intercepts?

Question illustration
A
The function that is represented by the equation has a steeper slope and a greater y-intercept.
B
The function that is represented by the equation has a steeper slope, and the function that is represented by the graph has a greater y-intercept.
C
The function that is represented by the graph has a steeper slope, and the function that is represented by the equation has a greater y-intercept.
D
The function that is represented by the graph has a steeper slope and a greater y-intercept.
14

The slope of the graph of the equation is 2. What is the y-intercept?y-intercept =

Question illustration
Answer not available
15

Jeremy claims that if a linear function has a slope of the same steepness and the same y-intercept as the linear function in the graph, then it must be the same function. Which equation proves Jeremy’s argument is incorrect?

Question illustration
A
y = negative one-half x minus 1
Option A
B
y = negative one-half x + 1
Option B
C
y = one-half x minus 1
Option C
D
y = one-half x + 1
Option D
16

What are the slope and the y-intercept of the linear function that is represented by the equation ?

Question illustration
A
The slope is –10, and the y-intercept is –1.
B
The slope is –10, and the y-intercept is 1.
C
The slope is –1, and the y-intercept is –10.
D
The slope is 1, and the y-intercept is –10.
17

What are the slope and the y-intercept of the linear function that is represented by the graph?

Question illustration
A
The slope is , and the y-intercept is –2.
Option A
B
The slope is , and the y-intercept is 3.
Option B
C
The slope is , and the y-intercept is –2.
Option C
D
The slope is , and the y-intercept is 3.
Option D

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