AnswersAZ-Algebra 1A MA101Writing Linear Equations

Writing Linear Equations Answers

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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
2
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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
3

The point-slope form of the equation of the line that passes through (–5, –1) and (10, –7) is . What is the standard form of the equation for this line?

Question illustration
A
2x – 5y = –15
B
2x – 5y = –17
C
2x + 5y = –15
D
2x + 5y = –17
4

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
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 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
7

The point-slope form of the equation of the line that passes through (–4, –3) and (12, 1) is y – 1 = (x – 12). What is the standard form of the equation for this line?

Question illustration
A
x – 4y = 8
B
x – 4y = 2
C
4x – y = 8
D
4x – y = 2
8

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)
9

Julissa is running a 10-kilometer race at a constant pace. After running for 18 minutes, she completes 2 kilometers. After running for 54 minutes, she completes 6 kilometers. Her trainer writes an equation letting t, the time in minutes, represent the independent variable and k, the number of kilometers, represent the dependent variable.Which equation can be used to represent k, the number of kilometers Julissa runs in t minutes?

A
k – 2 = (t – 18)
Option A
B
k – 18 = (t – 2)
Option B
C
k – 2 = 9(t – 18)
D
k – 18 = 9(t – 2)
10

Tim explained a function in words and Paul wrote an equation.TimThe amount of money in a savings account increases at a rate of $225 per month. After eight months, the bank account has $4,580 in it. Pauly−1,400=56(x+26)Whose function has the smaller y-intercept?

A
Tim’s with a y-intercept of $2,700
B
Paul’s with a y-intercept of $2,856
C
Paul’s with a y-intercept of $2,800
D
Tim’s with a y-intercept of $2,780
11

The point-slope form of the equation of the line that passes through (–5, –1) and (10, –7) is . What is the standard form of the equation for this line?

Question illustration
A
2x – 5y = –15
B
2x – 5y = –17
C
2x + 5y = –15
D
2x + 5y = –17
12

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
13

Line CD passes through points C(1, 3) and D(4, –3). If the equation of the line is written in slope-intercept form, y = mx + b, what is the value of b?

A
–5
B
–2
C
1
D
5
14

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
15

Marty and Ethan both wrote a function, but in different ways.Marty Ethan

Question illustration
A
Marty’s with a slope of 2/3
B
Ethan’s with a slope of 2/5
C
Marty’s with a slope of 1/3
D
Ethan’s with a slope of 1/5
16

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
17

Tim explained a function in words and Paul wrote an equation.TimThe amount of money in a savings account increases at a rate of $225 per month. After eight months, the bank account has $4,580 in it. Pauly−1,400=56(x+26)Whose function has the smaller y-intercept?

A
Tim’s with a y-intercept of $2,700
B
Paul’s with a y-intercept of $2,856
C
Paul’s with a y-intercept of $2,800
D
Tim’s with a y-intercept of $2,780
18

The cost in dollars, y, of a large pizza with x toppings from Pat’s Pizzeria can be modeled by a linear function. A large pizza with no toppings costs $14.00. A large pizza with 2 toppings costs $17.50.What is the cost of a pizza with 5 toppings? Round to the nearest penny.

A
$19.00
B
$22.75
C
$43.75
D
$70.00
19

The point-slope form of the equation of a line that passes through points (8, 4) and (0, 2) is y – 4 = (x – 8). What is the slope-intercept form of the equation for this line?

Question illustration
A
y = x – 12
Option A
B
y = x – 4
Option B
C
y = x + 2
Option C
D
y = x + 6
Option D
20

Julissa is running a 10-kilometer race at a constant pace. After running for 18 minutes, she completes 2 kilometers. After running for 54 minutes, she completes 6 kilometers. Her trainer writes an equation letting t, the time in minutes, represent the independent variable and k, the number of kilometers, represent the dependent variable.Which equation can be used to represent k, the number of kilometers Julissa runs in t minutes?

A
k – 2 = (t – 18)
Option A
B
k – 18 = (t – 2)
Option B
C
k – 2 = 9(t – 18)
D
k – 18 = 9(t – 2)

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