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If the linear equation 3x - 4y = 12 is graphed, what is the y-coordinate of the

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Question: If the linear equation 3x - 4y = 12 is graphed, what is the y-coordinate of the point where it intersects the y-axis?

Options:

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

Correct Answer: -4

Solution: 

To find the y-intercept, set x = 0: 3(0) - 4y = 12, which gives y = -3.

If the linear equation 3x - 4y = 12 is graphed, what is the y-coordinate of the

Practice Questions

Q1
If the linear equation 3x - 4y = 12 is graphed, what is the y-coordinate of the point where it intersects the y-axis?
  1. 3
  2. -3
  3. 4
  4. -4

Questions & Step-by-Step Solutions

If the linear equation 3x - 4y = 12 is graphed, what is the y-coordinate of the point where it intersects the y-axis?
  • Step 1: Understand that the y-intercept is the point where the line crosses the y-axis.
  • Step 2: Know that at the y-axis, the value of x is always 0.
  • Step 3: Substitute x = 0 into the equation 3x - 4y = 12.
  • Step 4: The equation becomes 3(0) - 4y = 12.
  • Step 5: Simplify the equation: 0 - 4y = 12.
  • Step 6: This simplifies to -4y = 12.
  • Step 7: To find y, divide both sides by -4: y = 12 / -4.
  • Step 8: Calculate the result: y = -3.
  • Finding the y-intercept – To find the y-coordinate where a line intersects the y-axis, set x = 0 in the equation.
  • Linear equations – Understanding the structure and components of linear equations in two variables.
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