AnswersQ1 Mathematics 8Exploring Slope

Exploring Slope Answers

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Use the values in the table to determine the slope. m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction

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Option B
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Option C
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Option D
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Use the graph to find the slope.What is the runner’s speed? minutes per mile

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Answer:

8

3

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

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Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
4

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

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
7

Question text not available

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

A line passes through the point (0, 1) and has a positive slope. Which of these points could that line NOT pass through? Check all that apply.

A
(12, 3)
B
(–2, –5)
C
(–3, 1)
D
(1, 15)
E
(5, –2)
9

What is the slope?–3✔ 03no slope

Answers:
Selection 1:0
Selection 2:all y values are the same
10

Marcus plots the point (4, 7) in Quadrant I on the coordinate plane. Nicole then plots the point (4, –3) in Quadrant IV of the same graph. Explain what the line that goes through those two points would look like, and evaluate the slope.

Answer:

Since both points have the same xcoordinate, 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.

11

Which of the following did you include in your response?

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.
12

What is true about the graph?all x values are the same✔ all y values are the sameeach x and y value is different

A
all x values are the same
B
✔ all y values are the same
C
each x and y value is different
13

Willa says the slope of the graph is Negative one-third . What error did she make when finding the slope?

Question illustration
A
The slope is positive instead of negative.
Option A
B
She counted the squares instead of using the scale.
Option B
C
She used the points that are further apart instead of the two consecutive points.
Option C
D
She used when finding slope.
Option D
14

Corey walked three blocks east and then six blocks north. All the blocks were the same length. What is the value of the slope of the line from where Corey began walking to where he finished?

A
-3
B
-2
C
2
D
3

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