AnswersWI-Mathematics Grade 8 AGraphing in a Variety of Contexts

Graphing in a Variety of Contexts Answers

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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
3

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
4

A line passes through the points (8, –1) and (–4, 2). What is the y-intercept of this line?

Question illustration
A
–4
B
–1
C
1
D
4
5

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

Question illustration
A
P
B
Q
C
R
D
S
6

A line passes through the points (1, 4) and (3, –4). Which is the equation of the line?

A
y = negative 4 x + 8
Option A
B
y = –2x + 6
C
y = negative one-fourth x + 2
Option C
D
y = 2x + 2
7

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
8

Which equation represents a line with an undefined slope?

A
y = x
B
y = –x
C
y = 0
D
x = 0
9

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
10

A line passes through the point (4, –6) and has a slope of . Which is the equation of the line?

Question illustration
A
y = negative three-fourths x minus 3
Option A
B
y = negative three-fourths x minus 6
Option B
C
y = negative 3 x minus three-fourths
Option C
D
y = negative 6 x minus three-fourths
Option D
11

A line passes through the points (–3, 7) and (6, 4). Which shows the graph of this line?

A
On a coordinate plane, a line goes through points (0, 6) and (6, 4).
Option A
B
On a coordinate plane, a line goes through points (4, 6) and (6, 0).
Option B
C
On a coordinate plane, a line goes through points (2, negative 10) and (6, 4).
Option C
D
On a coordinate plane, a line goes through points (negative 10, 2) and (4, 6).
Option D
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 (–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

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