AnswersQ1 Mathematics 8Exploring Slope

Exploring Slope Answers

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1
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Which graph has a slope of ?

Question illustration
A
On a coordinate plane, a line goes through points (0, negative 1) and (2, 2).
Option A
B
On a coordinate plane, a line goes through points (negative 3, 1) and (0, negative 1).
Option B
C
On a coordinate plane, a line goes through points (0, negative 1) and (3, 1).
Option C
D
On a coordinate plane, a line goes through points (negative 2, 2) and (0, negative 1).
Option D
2
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Two sides of a four-sided figure have negative slopes. Which are the endpoints of the sides of this figure?

A
(–4, –4), (–4, –1), (–1, –4), (–1, –1)
B
(–2, –4), (–1, –1), (1, –1), (2, –4)
C
(1, 1), (2, 4), (5, 4), (4, 1)
D
(1, 4), (2, 1), (5, 1), (4, 4)
3

The linear function that is represented by which table has the same slope as the graph?

Question illustration
A
A 2-column table with 5 rows. Column 1 is labeled x with entries negative 25, negative 21, negative 17, negative 13, negative 9. Column 2 is labeled y with entries negative 9, negative 7, negative 5, negative 3, negative 1.
Option A
B
A 2-column table with 5 rows. Column 1 is labeled x with entries negative 25, negative 21, negative 17, negative 13, negative 9. Column 2 is labeled y with entries 9, 7, 5, 3, 1.
Option B
C
A 2-column table with 5 rows. Column 1 is labeled x with entries negative 9, negative 7, negative 5, negative 3, negative 1. Column 2 is labeled y with entries negative 25, negative 21, negative 17, negative 13, negative 9.
Option C
D
A 2-column table with 5 rows. Column 1 is labeled x with entries 1, 3, 5, 7, 9. Column 2 is labeled y with entries negative 9, negative 13, negative 17, negative 21, negative 25.
Option D
4

The difference in the x-coordinates of two points is 3, and the difference in the y-coordinates of the two points is 6. What is the slope of the line that passes through the points?

2
2
3
3
6
6
9
9
5

Bianca graphed her weight and height over the past several years.Which describes the slope of the line on Bianca’s graph?

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I
Its slope is positive.
I
Its slope is negative.
I
Its slope is zero.
I
It has no slope.
6

The data in which table represents a linear function that has a slope of zero?

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A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
7

What is the slope of the line in the graph?

Question illustration
A
Negative four-thirds
Option A
B
Negative three-fourths
Option B
C
Three-fourths
Option C
D
Four-thirds
Option D
8

Ellen thinks that if a line has no slope, then it never touches the y-axis. Which line proves that her statement is incorrect?

x
x = 0
y
y = 0
x
x = 1
y
y = 1
9

A line passes through the points (7, 10) and (7, 20). Which statement is true about the line?

Question illustration
I
It has a slope of zero because in the formula is zero, and the numerator of a fraction cannot be zero.
Option I
I
It has a slope of zero because in the formula is zero, and the denominator of a fraction cannot be zero.
Option I
I
It has no slope because in the formula is zero, and the numerator of a fraction cannot be zero.
Option I
I
It has no slope because in the formula is zero, and the denominator of a fraction cannot be zero.
Option I
10

A passenger rode the subway 2 blocks west and then 10 blocks south. If all the blocks are the same length, what is the value of the slope of the line from where the passenger began to where he finished?

2
2
5
5
1
10
1
12
11

Lorena calculated the slope of the linear function that is represented by the table of values as shown.xy–1015–827–639–451–263What did she do wrong?

Question illustration
A
She used the wrong formula for slope.
B
She used the wrong points to determine the slope.
C
She made a mistake when she subtracted from .
Option C
D
She made a mistake when she subtracted from .
Option D
12

What is the slope of the line represented by the points in the table?

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A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
13

What is the slope of the line represented by the values in the table?xy10142–230782034

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A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
14

The graph shows the cost of a lunch in a school’s cafeteria since school started. Which is correct about the graph’s slope?

Question illustration
I
Its slope is positive.
I
Its slope is negative.
I
Its slope is zero.
I
It has no slope.
15

Which statement correctly describes the slope of the linear function that is represented by the data in the table?xy8–88–4808488

A
The slope is positive.
B
The slope is negative.
C
The slope is zero.
D
There is no slope.
16

Isaac and Sakura are both doing a science experiment where they are measuring the temperature of a liquid over time. Graphs that represent each of their data are shown below.Which statement is correct?

Question illustration
A
The slope of the graph that represents Isaac’s data is positive, and the slope of the graph that represents Sakura’s data is positive.
B
The slope of the graph that represents Isaac’s data is positive, and the slope of the graph that represents Sakura’s data is negative.
C
The slope of the graph that represents Isaac’s data is negative, and the slope of the graph that represents Sakura’s data is positive.
D
The slope of the graph that represents Isaac’s data is negative, and the slope of the graph that represents Sakura’s data is negative.
17

Which statement is correct?

A
A horizontal line has no slope.
A
A vertical line has a slope of zero.
A
A line that rises from left to right has a positive slope.
A
A line that falls from right to left has a negative slope.
18

What is the slope of the line in the graph?slope =

Question illustration
Answer not available

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