Writing Linear Equations Answers

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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
2
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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
3

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
4

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
5

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)
6

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
7

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
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

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
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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