Exploring Slope Answers

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4

Which linear functions represent a slope of 4? Check all that apply.

A
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 negative 11, 1, 13, 25.
Option A
B
On a coordinate plane, a line goes through points (0, 3) and (5, 4).
Option B
C
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 5, negative 1, 3, 7. Column 2 is labeled y with entries negative 32, 24, 16, 8.
Option C
D
On a coordinate plane, a line goes through points (2, 0) and (3, 4).
Option D
5

What can you conclude about the slope of the values in the table? Check all that apply.

A
The slope is 3.
B
The slope is 0.
C
The slope is undefined.
D
The graph will be a horizontal line.
E
The graph will be a vertical line.
F
The graph will have a line with a positive slope.
6

What is the slope?–3✔ 03no slope

Answers:
Selection 1:0
Selection 2:all y values are the same
8

Is Garrett’s slope correct? If not, identify his error?

A
Yes. Garrett found the slope correctly.
Option A
B
No. He should have put the x values in the denominator and the y values in the numerator.
Option B
C
No. He should have gotten a negative answer for slope because the values are decreasing.
Option C
D
No. He should have gotten the answer .
Option D
12

What is the slope? What is true about the graph?

Answers:
Selection 1:0
Selection 2:all y values are the same
13

Sample Response: Since both points have the same x-coordinate, the line would be vertical. A vertical line has no slope because the run of the graph, which is the denominator, is zero and therefore an undefined fraction. Which of the following did you include in your response?The points have the same x-coordinates.The line would be vertical.The line has no slope.The run = 0, which would create an undefined fraction.

A
The points have the same x-coordinates.
B
The line would be vertical.
C
The line has no slope.
D
The run = 0, which would create an undefined fraction.

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