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If the equation of a line is given as 3x - 4y + 12 = 0, what is the y-intercept

Practice Questions

Q1
If the equation of a line is given as 3x - 4y + 12 = 0, what is the y-intercept of the line?
  1. 3
  2. 4
  3. -3
  4. -4

Questions & Step-by-Step Solutions

If the equation of a line is given as 3x - 4y + 12 = 0, what is the y-intercept of the line?
  • Step 1: Start with the equation of the line: 3x - 4y + 12 = 0.
  • Step 2: To find the y-intercept, set x = 0 in the equation.
  • Step 3: Substitute x = 0 into the equation: 3(0) - 4y + 12 = 0.
  • Step 4: Simplify the equation: -4y + 12 = 0.
  • Step 5: To isolate y, subtract 12 from both sides: -4y = -12.
  • Step 6: Divide both sides by -4 to solve for y: y = 3.
  • 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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