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If a line has the equation y = 3x + 2, what is the y-intercept?

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Question: If a line has the equation y = 3x + 2, what is the y-intercept?

Options:

  1. 2
  2. 3
  3. 1
  4. 0

Correct Answer: 2

Solution: 

The y-intercept is the value of y when x = 0, which is 2.

If a line has the equation y = 3x + 2, what is the y-intercept?

Practice Questions

Q1
If a line has the equation y = 3x + 2, what is the y-intercept?
  1. 2
  2. 3
  3. 1
  4. 0

Questions & Step-by-Step Solutions

If a line has the equation y = 3x + 2, what is the y-intercept?
  • Step 1: Understand the equation of the line, which is y = 3x + 2.
  • Step 2: Identify that the y-intercept occurs when x = 0.
  • Step 3: Substitute x = 0 into the equation: y = 3(0) + 2.
  • Step 4: Calculate the value: y = 0 + 2.
  • Step 5: Conclude that y = 2 when x = 0, so the y-intercept is 2.
  • Linear Equations – Understanding the slope-intercept form of a line, which is y = mx + b, where b represents the y-intercept.
  • Y-Intercept – Identifying the y-intercept as the point where the line crosses the y-axis, specifically when x = 0.
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