Comparing Slopes and Intercepts Answers

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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.
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.
10

Which linear function has the steepest slope?

A
On a coordinate plane, a line goes through points (0, 3) and (4, 2).
Option A
B
y = negative 0.1 x minus 5
Option B
C
A 2-column table with 5 rows. Column 1 is labeled x with entries negative 4, negative 2, 0, 2, 4. Column 2 is labeled y with entries 0, 0.5, 1.0, 1.5, 2.0.
Option C
D
A 2-column table with 5 rows. Column 1 is labeled x with entries negative 6, negative 2, 1, 7, 9. Column 2 is labeled y with entries 6.6, 4.2, 2.4, negative 1.2, negative 2.4.
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

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.

13

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

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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