AnswersNC-Math 1 CRAnalyzing Tables

Writing Linear Equations Answers

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Line GH passes through points (2, 5) and (6, 9). Which equation represents line GH?

A
y = x + 3
B
y = x – 3
C
y = 3x + 3
D
y = 3x – 3
2
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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)
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 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
6

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
7

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)
8

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
9

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
10

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

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Writing Linear Equations Answers — NC-Math 1 CR