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The equation of a line parallel to y = 2x + 3 and passing through (1, 1) is?

Practice Questions

Q1
The equation of a line parallel to y = 2x + 3 and passing through (1, 1) is?
  1. y = 2x - 1
  2. y = 2x + 1
  3. y = 2x + 3
  4. y = 2x - 3

Questions & Step-by-Step Solutions

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