Use point-slope form y − y₁ = m(x − x₁)

Question 1

Kai's phone plan costs 6 more for each extra gigabyte of data. A month with 7 GB costs 55. Using cost = m × GB + b, find b, the fixed monthly charge.

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Question 2

Write y + 6 = 5(x − 6) in the form y = mx + b. Type the right-hand side.

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Question 3

Which equation is the line through (1, 3) with slope −2?

• A. x − 1 = −2(y − 3)
• B. y − 3 = −2(x − 1)
• C. y − 3 = 2(x − 1)
• D. y − 1 = −2(x − 3)

Question 4

Ava's phone plan costs 4 more for each extra gigabyte of data. A month with 9 GB costs 42. Using cost = m × GB + b, find b, the fixed monthly charge.

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Question 5

Write y + 1 = −(x + 6) in the form y = mx + b. Type the right-hand side.

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Question 6

Which equation is the line through (−6, 3) with slope 1?

• A. y + 6 = (x − 3)
• B. y − 3 = (x + 6)
• C. x + 6 = (y − 3)
• D. y + 3 = (x − 6)

Question 7

Maya's phone plan costs 2 more for each extra gigabyte of data. A month with 6 GB costs 34. Using cost = m × GB + b, find b, the fixed monthly charge.

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Question 8

Write y − 3 = −4(x + 5) in the form y = mx + b. Type the right-hand side.

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Question 9

Which equation is the line through (−6, 4) with slope −4?

• A. y + 6 = −4(x − 4)
• B. y − 4 = −4(x + 6)
• C. x + 6 = −4(y − 4)
• D. y − 4 = 4(x + 6)

Question 10

Yuki's phone plan costs 6 more for each extra gigabyte of data. A month with 9 GB costs 68. Using cost = m × GB + b, find b, the fixed monthly charge.

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Question 11

Write y + 5 = −4(x − 4) in the form y = mx + b. Type the right-hand side.

Answer 

Question 12

Which equation is the line through (−2, 6) with slope 3?

• A. y + 2 = 3(x − 6)
• B. x + 2 = 3(y − 6)
• C. y − 6 = 3(x + 2)
• D. y − 6 = −3(x + 2)

Question 13

Ana's phone plan costs 4 more for each extra gigabyte of data. A month with 8 GB costs 44. Using cost = m × GB + b, find b, the fixed monthly charge.

Answer 

Question 14

Write y − 2 = (x + 5) in the form y = mx + b. Type the right-hand side.

Answer 

Question 15

Which equation is the line through (3, 1) with slope −4?

• A. y − 1 = −4(x − 3)
• B. x − 3 = −4(y − 1)
• C. y − 3 = −4(x − 1)
• D. y + 1 = −4(x + 3)

Question 16

Ethan's phone plan costs 5 more for each extra gigabyte of data. A month with 3 GB costs 35. Using cost = m × GB + b, find b, the fixed monthly charge.

Answer