The equation of a line with slope 2 passing through the point (1, 3) is?

Practice Questions

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

Questions & Step-by-Step Solutions

The equation of a line with slope 2 passing through the point (1, 3) is?
  • Step 1: Identify the slope of the line, which is given as 2.
  • Step 2: Identify the point through which the line passes, which is (1, 3).
  • Step 3: Use the point-slope form of the equation of a line, which is: y - y1 = m(x - x1), where (x1, y1) is the point and m is the slope.
  • Step 4: Substitute the values into the point-slope form: y - 3 = 2(x - 1).
  • Step 5: Simplify the equation. Start by distributing the 2: y - 3 = 2x - 2.
  • Step 6: Add 3 to both sides to isolate y: y = 2x - 2 + 3.
  • Step 7: Combine like terms: y = 2x + 1.
  • Step 8: The final equation of the line is y = 2x + 1.
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