AnswersCA-Mathematics ISlope-Intercept Form of a Line

Writing Linear Equations Answers

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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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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
3

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
4

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
5

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
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

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
8

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)
9

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)
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

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