What is the equation of the line parallel to y = 3x + 4 that passes through the

Practice Questions

Q1
What is the equation of the line parallel to y = 3x + 4 that passes through the point (1, 2)? (2020)
  1. y = 3x - 1
  2. y = 3x + 1
  3. y = 3x + 2
  4. y = 3x - 2

Questions & Step-by-Step Solutions

What is the equation of the line parallel to y = 3x + 4 that passes through the point (1, 2)? (2020)
  • Step 1: Identify the slope of the given line y = 3x + 4. The slope (m) is 3.
  • Step 2: Since parallel lines have the same slope, the slope of the new line will also be 3.
  • Step 3: Use the point-slope form of the equation of a line, which is y - y1 = m(x - x1). Here, (x1, y1) is the point (1, 2) and m is 3.
  • Step 4: Substitute the values into the point-slope form: y - 2 = 3(x - 1).
  • Step 5: Simplify the equation. Distribute 3: y - 2 = 3x - 3.
  • Step 6: Add 2 to both sides to solve for y: y = 3x - 1.
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