Writing Equations in Y-Intercept Form

Determine the slope and y-intercept from the following equation:   y = 3/2x + 3

• slope: 5   y-intercept:  (0,3) 
• slope: 3/2   y-intercept:  (0,3) 
• slope:  4  y-intercept:  (0,3/2)
• slope: 1/5   y-intercept:  (0,5) 

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CCSS.8.EE.B.6

CCSS.8.F.A.3

If a line passes through (0,6) and has a slope of 2, what is the equation for the line?

• y = 2x

• y = 2x + 6

• y = 6x + 2

• y = 2x - 6

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CCSS.HSF.LE.A.2

CCSS.HSA.CED.A.2

CCSS.HSG.GPE.B.5

CCSS.HSF.BF.A.1

If a line passes through (0,-5) and has a slope of -8, what is the equation for the line?

• y = -5x - 8

• y = -8x + 5

• y = -8x - 5

• y = -8x

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CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSG.GPE.B.5

A holiday meal costs $12.50 a person plus a delivery fee of $30.

• 30 + 12.5x 
• 12.5 + 30
• 12.5 + 30x

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CCSS.HSF.LE.A.2

CCSS.8.F.B.4

Sandra has a $20 itunes gift card and spends $3 each month.

• 3x + 20
• 3 + 20x
• -3x + 20
• -20x + 3

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CCSS.HSF.LE.A.2

CCSS.8.F.B.4

Sonia has $40 in her lunch account and pays $2 each day to eat lunch.

• 40 + 2x
• 40 - 2x
• 2 + 40x
• 2 - 40x

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CCSS.HSF.LE.A.2

CCSS.8.F.B.4

Randy charges his tenants $400 each month to rent his houses plus $600 security deposit. In the new year, the property taxes increased on the area where he rents so as a result he must increase the rate of change by $25 to ensure his profits are not harmed. What equation best represents how much his tenants will now have to pay? 

• y = 425x + 600
• y = 425 + 600x
• y = 400x + 625
• y = 400 + 625x

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CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSS.ID.C.7

A canoe rental service charges a $20 transportation fee and $30 dollars an hour to rent a canoe. Write an equation representing the cost, y, of renting a canoe for x hours. 

• y = 30x + 20
• y = 30 + 20x
• y = 50x
• y = 60x

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CCSS.6.EE.C.9

A candle is originally 12 inches tall and burns a constant rate of 2 inches per hour. Write a formula for the height of the candle remaining.

• y = 2x + 12
• y = -2x + 12
• y = 12x - 2
• y = 12x + 2

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CCSS.HSF-BF.A.1A

A tub has 40 gallons of water in it and starts draining at a rate of 6 gallons per minute. Write a formula for the amount of water left in the tub.

• y = 6x + 40
• y = -6x + 40
• y = 6x - 40
• y = 40x - 6

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CCSS.HSF.LE.A.2

CCSS.8.F.B.4