AnswersGA-8th Grade MathematicsWriting Linear Equations Given Two Points

Writing Linear Equations Given Two Points Answers

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1
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Which equation represents the line that passes through the points (–3, 7) and (9, –1)?

A
y = negative two-thirds x + 5
Option A
B
y = negative two-thirds x minus 7
Option B
C
y = two-thirds x minus 7
Option C
D
y = two-thirds x + 5
Option D
2
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Which line has an equation of in slope-intercept form?

Question illustration
A
a line passing through the points (1, 9) and (3, 19)
B
a line passing through the points (2, –14) and (4, –24)
C
a line passing through the points (1, 1) and (3, 11)
D
a line passing through the points (2, –6) and (4, –16)
3

Which is a characteristic of the line that passes through the points (6, 10) and (12, 7)?

A
The slope is .
Option A
B
The slope is .
Option B
C
The y-intercept is 7.
D
The y-intercept is 13.
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

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
6

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.
7

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.
8

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
9

Mike correctly found the slope and y-intercept of the line passing through the points (–5, –2) and (3, 14) as follows. What is the equation of the line in slope-intercept form?

Question illustration
A
y = 2 x minus 8
Option A
B
y = 2 x + 8
Option B
C
y = 8 x minus 2
Option C
D
y = 8 x + 2
Option D
10

Lindsay used two points, and , to find the equation of the line, y = mx + b, that passes through the points. First, she used the definition of slope and determined that the value of m is . Given this information, which expression must represent the value of b?

Question illustration
A
y 1 minus (StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction) (x 1)
Option A
B
y 1 minus (StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction) (x 2)
Option B
C
y 1 + (StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction) (x 1)
Option C
D
y 1 + (StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction) (x 2)
Option D

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