AnswersJHS-Algebra 1A full yearGraphing in a Variety of Contexts

Writing Linear Equations Given Two Points Answers

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What is the equation of the line that passes through the points (15, 9) and (-2, 9)?

A
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Option A
B
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Option B
C
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Option C
D
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Option D
2
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Misty correctly determined the equation of the linear function represented by the table of values below to be in slope-intercept form by using the ordered pairs (1, 7) and (2, 5). xy17253341What would she have gotten for the equation of the linear function if she had used the ordered pairs (2, 5) and (4, 1) instead?

Question illustration
A
y = negative 4 x + 9
Option A
B
y = negative 4 x + 18
Option B
C
y = negative 2 x + 9
Option C
D
y = negative 2 x + 18
Option D
3

What can be concluded about the line represented in the table? Select 3 options.xy–6–72–380

A
The slope is 2.
B
The slope is .
Option B
C
The y-intercept is –4.
D
The y-intercept is 8.
E
The points (–2, –5) and (8, 0) are also on the line.
F
The points (–5, –2) and (1, 10) are also on the line.
4

Brooke found the equation of the line passing through the points (–7, 25) and (–4, 13) in slope-intercept form as follows. What was Brooke’s error?

Question illustration
A
She found the incorrect slope in step 1.
B
She mixed up the x- and y-coordinates when she plugged in the point in step 2.
C
She found the incorrect y-intercept in step 2.
D
She mixed up the slope and y-intercept when she wrote the equation in step 3.
5

Leon correctly found the slope and y-intercept of the line that passes through the points (9, –8) and (3, 4) as follows. What is the equation of the line in slope-intercept form?

Question illustration
A
y = negative 2 x + 10
Option A
B
y = 2 x + 10
Option B
C
y = 10 x minus 2
Option C
D
y = 10 x + 2
Option D
6

Terri wrote the equation using slope-intercept form for the line that passes through the points (4, 6) and (–2, 3).Step 1: Step 2: Step 3: Step 4: Which best describes Terri’s first error?

Question illustration
A
In step 1, the slope of the line should be .
Option A
B
In step 2, she should have substituted the point (4, 6).
C
In step 3, she should have subtracted 4 from both sides of the equation.
D
In step 4, the m and b values should be switched.
7

What is the equation of the line passing through the points (–25, 50) and (25, 50) in slope-intercept form?

A
y = negative 50 x
Option A
B
y = negative 50
Option B
C
y = 50 x
Option C
D
y = 50
Option D
8

What is the equation of the linear function represented by the table?xy–514–2111845

A
y = negative x + 9
Option A
B
y = negative x + 13
Option B
C
y = x + 13
Option C
D
y = x + 9
Option D
9

What is the slope-intercept form of a line that passes through points (2, 11) and (4, 17)?

A
y = negative 3 x minus 5
Option A
B
y = 3 x minus 5
Option B
C
y = negative 3 x + 5
Option C
D
y = 3 x + 5
Option D
10

What is the equation of the line passing through the points and in slope-intercept form?

Question illustration
A
y = one-half x minus three-fourths
Option A
B
y = one-half x + three-fourths
Option B
C
y = three-fourths x minus one-half
Option C
D
y = three-fourths x + one-half
Option D

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