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What is the equation of the line with slope 3 that passes through the point (1,

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Question: What is the equation of the line with slope 3 that passes through the point (1, 2)?

Options:

  1. y = 3x + 2
  2. y = 3x - 1
  3. y - 2 = 3(x - 1)
  4. y = 2x + 1

Correct Answer: y - 2 = 3(x - 1)

Solution: 

Using point-slope form: y - y1 = m(x - x1) => y - 2 = 3(x - 1).

What is the equation of the line with slope 3 that passes through the point (1,

Practice Questions

Q1
What is the equation of the line with slope 3 that passes through the point (1, 2)?
  1. y = 3x + 2
  2. y = 3x - 1
  3. y - 2 = 3(x - 1)
  4. y = 2x + 1

Questions & Step-by-Step Solutions

What is the equation of the line with slope 3 that passes through the point (1, 2)?
Correct Answer: y - 2 = 3(x - 1)
  • Step 1: Identify the slope (m) and the point (x1, y1). Here, the slope is 3 and the point is (1, 2).
  • Step 2: Write down the point-slope form of the equation of a line, which is y - y1 = m(x - x1).
  • Step 3: Substitute the values into the equation. Replace y1 with 2, m with 3, x1 with 1.
  • Step 4: The equation becomes y - 2 = 3(x - 1).
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