AnswersPA-Common Core Math 8 Q1Comparing Slopes and Intercepts

Comparing Slopes and Intercepts Answers

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21
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Linear functions are expressed by the graph and equation. Select all that apply.

A
The slope is positive for both functions.
B
The equation has a steeper slope than the line in the graph.
C
The y-intercept is the same for both.
D
The graph and the equation express an equivalent function.
22
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Identify the slope of the line given in the table: -4✔ -1/41/44

Answers:
Selection 1:-1/4
Selection 2:-4
Selection 3:3/2
Selection 4:1
23

Identify the y-intercept of the line given in the table:✔ -401/44

A
✔ -4
B
0
C
1/4
D
4
24

Identify the slope of the line given by the equation:12/3✔ 3/23

A
1
B
2/3
C
✔ 3/2
D
3
25

Identify the y-intercept of the line given by the equation: -1✔ 13/23

A
-1
B
✔ 1
C
3/2
D
3
26

On a coordinate plane, a line goes through points (negative 1, negative 2) and (0, 1). y = negative 8 x + 3 A 2-column table with 4 rows. Column 1 is labeled x with entries negative 1, 2, 5, 8. Column 2 is labeled y with entries 4, 1, negative 2, negative 5. y = 2 x + 3

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
27

Linear functions are expressed by data in a table and by a graph. Select all that apply.

A
The slope is the same for both functions.
B
The function expressed in the graph has a steeper slope than the function in the table.
C
The y-intercept is the same for both functions.
D
The table and the graph express an equivalent function.
28

Which linear function has a positive slope?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
29

Which linear function has the steepest slope?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
30

Which of the following statements are true? Select all that apply.

A
If the equation were graphed, it would be a horizontal line.
B
Both functions have the same slope.
C
The origin is the y-intercept for the function expressed in the table.
D
The linear equation does not have a y-intercept.
E
The table and the graph express an equivalent function.
31

Explain how to determine if these two are the same function expressed in different ways

Answer:

To determine if two linear representations are the same function, you must identify the slope (m) and the y-intercept (b) for both. For the equation, rewrite it in slope-intercept form (y = mx + b). For the table, calculate the slope using the change in y over the change in x and find the y-intercept where x = 0. If both the slopes and the y-intercepts match, they are the same function.

32

Select all the information that you included in your response.

A
Determine the slope and y-intercept for the equation.
B
Choose two points from the table and find the slope between them.
C
Use the slope from the table to calculate the y-intercept for the function in the table.
D
Compare the slopes and y-intercepts of the two functions to determine whether it is the same function or two different functions.

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