AnswersPA-Common Core Math 8 Q1Writing Linear Equations Given Two Points

Writing Linear Equations Given Two Points Answers

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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
2
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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
3

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
4

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
5

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
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

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
8

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.
9

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
10

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.

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