AnswersPA-Common Core Math 8 Q1Comparing Slopes and Intercepts

Comparing Slopes and Intercepts Answers

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1
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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.
2
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The slope of the graph of the equation is 2. What is the y-intercept?y-intercept =

Question illustration
Answer not available
3

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
4

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
5

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.
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

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
8

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.
9

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
10

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.
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

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

Question illustration
Answer not available
13

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
14

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.
15

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
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
18

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
19

Which equation represents a linear function that has a slope of and a y-intercept of –6?

Question illustration
A
y = negative 6 x + four-fifths
Option A
B
y = four-fifths x minus 6
Option B
C
y = four-fifths x + 6
Option C
D
y = 6 x + four-fifths
Option D
20

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.

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