My Learning Cart
?
Categories
Account

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

₹0.0
Login to Download
  • 📥 Instant PDF Download
  • ♾ Lifetime Access
  • 🛡 Secure & Original Content

What’s inside this PDF?

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

Options:

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

Correct Answer: 3

Solution: 

To find the y-intercept, set x = 0. The equation becomes -4y + 12 = 0, leading to y = 3.

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.
Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely
Home Practice Performance eBooks