AnswersFL-1200310-Algebra 1 AWriting Linear Equations

Writing Linear Equations Answers

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1
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The table represents a linear equation.

Question illustration
A
y – 8 = –0.15(x – 10)
B
y + 8 = –0.15(x – 10)
C
y – 8 = –0.2(x + 10)
D
y + 8 = –0.2(x – 10)
2
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The slope-intercept form of the equation of a line that passes through point (–3, 8) is y = –x + 6. What is the point-slope form of the equation for this line?

Question illustration
A
y – 3 = –(x + 8)
Option A
B
y + 3 = –(x – 8)
Option B
C
y + 8 = –(x – 3)
Option C
D
y – 8 = –(x + 3)
Option D
3

The slope-intercept form of the equation of a line that passes through point (–2, –13) is y = 5x – 3. What is the point-slope form of the equation for this line?

A
y – 13 = 5(x – 2)
B
y + 13 = 5(x + 2)
C
y – 2 = 5(x – 13)
D
y + 2 = 5(x + 13)
4

Which equation represents the line that passes through and ?

Question illustration
A
y equals negative StartFraction 5 Over 8 EndFraction x plus 6.
Option A
B
y equals negative StartFraction 5 Over 8 EndFraction x plus 16.
Option B
C
y equals negative StartFraction 15 Over 8 EndFraction x plus minus 49.
Option C
D
y equals negative StartFraction 15 Over 2 EndFraction x plus 71.
Option D
5

The slope-intercept form of the equation of a line that passes through point (–3, 8) is y = –x + 6. What is the point-slope form of the equation for this line?

Question illustration
A
y – 3 = –(x + 8)
Option A
B
y + 3 = –(x – 8)
Option B
C
y + 8 = –(x – 3)
Option C
D
y – 8 = –(x + 3)
Option D
6

Line JK passes through points J(–4, –5) and K(–6, 3). If the equation of the line is written in slope-intercept form, y = mx + b, what is the value of b?

A
–21
B
–4
C
11
D
27
7

The total cost for a bucket of popcorn and 4 movie tickets is $56. The total cost for the same size bucket of popcorn and 6 movie tickets is $80. The cost of a bucket of popcorn is $8. Which equation represents the relationship between y, the total cost of the popcorn and movie tickets, and x, the number of movie tickets that are purchased?

A
y = 12x + 8
B
y = 12x − 8
C
y = 14x + 8
D
y = 14x − 8
8

The slope-intercept form of the equation of a line that passes through point (–2, –13) is y = 5x – 3. What is the point-slope form of the equation for this line?

A
y – 13 = 5(x – 2)
B
y + 13 = 5(x + 2)
C
y – 2 = 5(x – 13)
D
y + 2 = 5(x + 13)
9

Line AB passes through points A(−6, 6) and B(12, 3). If the equation of the line is written in slope-intercept form, y=mx+b, then m=. What is the value of b?

Question illustration
A
−6
B
−5
C
5
D
6
10

Line CD passes through points (0, 2) and (4, 6). Which equation represents line CD?

A
y = 2x – 2
B
y = 2x + 2
C
y = x + 2
D
y = x – 2

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