Special Linear Relationships 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?

–21

–4

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The table represents a linear equation.

y – 8 = –0.15(x – 10)

y + 8 = –0.15(x – 10)

y – 8 = –0.2(x + 10)

y + 8 = –0.2(x – 10)

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?

y – 13 = 5(x – 2)

y + 13 = 5(x + 2)

y – 2 = 5(x – 13)

y + 2 = 5(x + 13)

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

Which equation represents the line that passes through and ?

y equals negative StartFraction 5 Over 8 EndFraction x plus 6.

y equals negative StartFraction 5 Over 8 EndFraction x plus 16.

y equals negative StartFraction 15 Over 8 EndFraction x plus minus 49.

y equals negative StartFraction 15 Over 2 EndFraction x plus 71.

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

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 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

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?

2x – 5y = –15

2x – 5y = –17

2x + 5y = –15

2x + 5y = –17

Line CD passes through points (0, 2) and (4, 6). Which equation represents line CD?

y = 2x – 2

y = 2x + 2

y = x + 2

y = x – 2

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?

–5

–2

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?

y = x – 12

y = x – 4

y = x + 2

y = x + 6

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

The ice skating rink charges an hourly fee for skating and $3 to rent skates for the day. Gillian rented skates and skated for 3 hours and was charged $21. Which equation represents the cost, c(x), of ice skating as a function of x, the number of hours of skating?

c(x) = 3x + 3

c(x) = 6x + 3

c(x) = 7x + 3

c(x) = 8x + 3

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

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Special Linear Relationships Answers

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