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Writing Linear Equations Answers

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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?

y = 12x + 8

y = 12x − 8

y = 14x + 8

y = 14x − 8

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

y = x + 3

y = x – 3

y = 3x + 3

y = 3x – 3

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?

–21

–4

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?

x – 4y = 8

x – 4y = 2

4x – y = 8

4x – y = 2

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

Marty’s with a slope of 2/3

Ethan’s with a slope of 2/5

Marty’s with a slope of 1/3

Ethan’s with a slope of 1/5

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?

Tim’s with a y-intercept of $2,700

Paul’s with a y-intercept of $2,856

Paul’s with a y-intercept of $2,800

Tim’s with a y-intercept of $2,780

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?

−6

−5

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