AnswersWI-Mathematics Grade 8 AGraphing in a Variety of Contexts

Graphing in a Variety of Contexts Answers

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1
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Which equation represents a line with an undefined slope?

A
y = x
B
y = –x
C
y = 0
D
x = 0
2
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A line passes through the points (1, –6) and (4, 3). What is the y-intercept of this line?

Question illustration
A
–9
B
–3
C
3
D
9
3

A line passes through the points (–1, 10) and (3, 2). Which shows the graph of this line?

A
On a coordinate plane, a line goes through points (0, 8) and (4, 0).
Option A
B
On a coordinate plane, a line goes through points (0, 4) and (8, 0).
Option B
C
On a coordinate plane, a line goes through points (2, negative 4) and (4, 8).
Option C
D
On a coordinate plane, a line goes through points (negative 4, 2) and (8, 4).
Option D
5

Line M passes through the points (–5, 9) and (–1, 9). Which is true of line M?

Question illustration
A
Line M is a vertical line with an undefined slope.
B
Line M is a vertical line with a slope of zero.
C
Line M is a horizontal line with an undefined slope.
D
Line M is a horizontal line with a slope of zero.
6

A line is defined by the equation . Which shows the graph of this line?

Question illustration
A
On a coordinate plane, a line goes through points (negative 2, 0) and (0, 4).
Option A
B
On a coordinate plane, a line goes through points (0, 1) and (2, 5).
Option B
C
On a coordinate plane, a line goes through points (0, 4) and (2, 0).
Option C
D
On a coordinate plane, a line goes through points (0, 2) and (2, 0).
Option D
7

Which line on the graph below has a slope of zero?

Question illustration
A
P
B
Q
C
R
D
S
8

A line passes through the points (–5, 2) and (10, –1). Which is the equation of the line?

A
y = negative one-fifth x + 1
Option A
B
y = one-fifth x + 3
Option B
C
y = –5x – 23
D
y = 5x + 27
9

A horizontal line passes through the point (5, –1). Which point is also on this line?

A
(0, 0)
B
(–1, 5)
C
(5, –4)
D
(–2, –1)
10

A line is defined by the equation . Which shows the graph of this line?

Question illustration
A
On a coordinate plane, a line goes through points (0, 3) and (3, 0).
Option A
B
On a coordinate plane, a line goes through points (0, negative 3) and (0, 3).
Option B
C
On a coordinate plane, a line goes through points (0, 0) and (2, 6).
Option C
D
On a coordinate plane, a line goes through points (negative 2, 6) and (0, 0).
Option D
11

A line passes through the points (–3, –4) and (6, 2). What is the x-intercept of this line?

Question illustration
A
–3
B
–2
C
2
D
3
12

A line is defined by the equation . The line passes through a point whose y-coordinate is 0. What is the x-coordinate of this point?

Question illustration
Answer not available
13

A line passes through the point (4, –2) and has a slope of . What is the value of a if the point (–4, a) is also on the line?

Question illustration
A
–6
B
–5
C
5
D
6
14

Which line on the graph below has an undefined slope?

Question illustration
A
P
B
Q
C
R
D
S
15

A line has a slope of and a y-intercept of –2. What is the x-intercept of the line?

Question illustration
A
–4
B
–1
C
1
D
4
16

A line passes through the point (–2, 7) and has a slope of –5. What is the value of a if the point (a, 2) is also on the line?

Question illustration
A
–7
B
–1
C
1
D
7
17

A line passes through the points (–6, 4) and (–2, 2). Which is the equation of the line?

A
y = negative one-half x + 1
Option A
B
y = one-half x + 7
Option B
C
y = –2x – 8
D
y = 2x + 16

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