Which of the following points lies on the line represented by the equation y = 2

Practice Questions

Q1
Which of the following points lies on the line represented by the equation y = 2x + 1?
  1. (0, 1)
  2. (1, 2)
  3. (2, 5)
  4. (3, 6)

Questions & Step-by-Step Solutions

Which of the following points lies on the line represented by the equation y = 2x + 1?
  • Step 1: Identify the equation of the line, which is y = 2x + 1.
  • Step 2: Choose a point to test if it lies on the line. In this case, we will test the point (2, 5).
  • Step 3: Substitute the x-value of the point (which is 2) into the equation. This means we replace x in the equation with 2.
  • Step 4: Calculate y by using the equation: y = 2(2) + 1.
  • Step 5: Perform the multiplication: 2(2) = 4.
  • Step 6: Add 1 to the result: 4 + 1 = 5.
  • Step 7: Compare the calculated y-value (which is 5) with the y-value of the point (which is also 5).
  • Step 8: Since both y-values are equal, the point (2, 5) lies on the line.
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