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

Comparing Slopes and Intercepts Answers

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Identify the slope of the graphed line: Identify the y-intercept of the graphed line: Identify the slope of the line given by the equation: Identify the y-intercept of the line given by the equation:

Answers:
Selection 1:-1/3
Selection 2:1
Selection 3:1/2
Selection 4:-1
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Identify the y-intercept of the graphed line:

Answer not available
3

Identify the slope of the line given by the equation:

Answer not available
4

Identify the y-intercept of the line given by the equation:

Answer not available
5

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.
6

Identify the slope of the line given in the table:

Answers:
Selection 1:-1/4
Selection 2:-4
Selection 3:3/2
Selection 4:1
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On a coordinate plane, a line goes through points (negative 1, negative 2) and (0, 1).

Question illustration
A
On a coordinate plane, a line goes through points (negative 1, negative 2) and (0, 1).
Option A
B
y = negative 8 x + 3
Option B
C
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.
Option C
D
y = 2 x + 3
Option D
8

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.
9

Which linear function has a positive slope?

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

Which linear function has the steepest slope?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
11

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.
12

Sample Answer:When a linear function is expressed in different forms, its slope and y-intercept remain the same. The slope from the equation is -1, and the y-intercept from the equation is 3. The slope from the table is -1, and the y-intercept from the table is −3. These are not the same functions. Select all the information that you included in your response.Determine the slope and y-intercept for the equation.Choose two points from the table and find the slope between them.Use the slope from t

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.
13

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.

14

Choose the true statements.

A
The slope of the equation must be positive.
B
The y-intercept of the equation is zero.
C
It is possible that the line on the graph is horizontal.
D
The slope of the equation must be negative.
15

Question text not available

Answers:
Selection 1:-1/3
Selection 2:1
Selection 3:1/2
Selection 4:-1
16

Identify the y-intercept of the line given in the table:

Answer not available
17

Identify the slope of the line given by the equation:

Answer not available
18

Identify the y-intercept of the line given by the equation:

Answer not available

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