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If a line has the equation 2x - 3y + 6 = 0, what is the y-intercept of the line?

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Question: If a line has the equation 2x - 3y + 6 = 0, what is the y-intercept of the line?

Options:

  1. -2
  2. 2
  3. 3
  4. -3

Correct Answer: 2

Solution: 

To find the y-intercept, set x = 0. The equation becomes -3y + 6 = 0, thus y = 2.

If a line has the equation 2x - 3y + 6 = 0, what is the y-intercept of the line?

Practice Questions

Q1
If a line has the equation 2x - 3y + 6 = 0, what is the y-intercept of the line?
  1. -2
  2. 2
  3. 3
  4. -3

Questions & Step-by-Step Solutions

If a line has the equation 2x - 3y + 6 = 0, what is the y-intercept of the line?
  • Step 1: Start with the equation of the line: 2x - 3y + 6 = 0.
  • Step 2: To find the y-intercept, set x = 0 in the equation.
  • Step 3: Substitute x = 0 into the equation: 2(0) - 3y + 6 = 0.
  • Step 4: Simplify the equation: -3y + 6 = 0.
  • Step 5: To isolate y, subtract 6 from both sides: -3y = -6.
  • Step 6: Divide both sides by -3 to solve for y: y = 2.
  • Finding the y-intercept – To find the y-intercept of a line, set x = 0 in the line's equation and solve for y.
  • Understanding linear equations – Recognizing the standard form of a linear equation and how to manipulate it to find specific values.
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