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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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.
2
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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
3

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
4

What method can be used to write the equation of a line in slope-intercept form given two points?

A
Find the slope using the formula , and then substitute one point and the slope into the equation to find the y-intercept.
Option A
B
Find the slope using the formula , and then substitute one point and the slope into the equation to find the y-intercept.
Option B
C
Find the y-intercept using the formula , and then substitute one point and the y-intercept into the equation to find the slope.
Option C
D
Find the y-intercept using the formula , and then substitute one point and the y-intercept into the equation to find the slope.
Option D
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

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
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

What is the equation of the line passing through the points (2, –1) and (5, –10) in slope-intercept form?

A
y = negative 3 x minus 5
Option A
B
y = negative 3 x + 5
Option B
C
y = 3 x minus 5
Option C
D
y = 3 x + 5
Option D
9

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

A
mc023-1.jpg
Option A
B
mc023-2.jpg
Option B
C
mc023-3.jpg
Option C
D
mc023-4.jpg
Option D
10

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.

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