My Learning Cart
?
Categories
Account

If the line 4x + 3y = 12 intersects the y-axis, what is the point of intersectio

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

What’s inside this PDF?

Question: If the line 4x + 3y = 12 intersects the y-axis, what is the point of intersection? (2022)

Options:

  1. (0, 4)
  2. (0, 3)
  3. (0, 2)
  4. (0, 1)

Correct Answer: (0, 3)

Exam Year: 2022

Solution: 

Setting x = 0 in the equation gives 3y = 12, thus y = 4. The point of intersection is (0, 4).

If the line 4x + 3y = 12 intersects the y-axis, what is the point of intersectio

Practice Questions

Q1
If the line 4x + 3y = 12 intersects the y-axis, what is the point of intersection? (2022)
  1. (0, 4)
  2. (0, 3)
  3. (0, 2)
  4. (0, 1)

Questions & Step-by-Step Solutions

If the line 4x + 3y = 12 intersects the y-axis, what is the point of intersection? (2022)
  • Step 1: Understand that the y-axis is where x = 0.
  • Step 2: Substitute x = 0 into the equation 4x + 3y = 12.
  • Step 3: This gives us the equation 4(0) + 3y = 12.
  • Step 4: Simplify the equation to 3y = 12.
  • Step 5: Solve for y by dividing both sides by 3, which gives y = 4.
  • Step 6: The point of intersection on the y-axis is (0, 4).
  • Linear Equations – Understanding how to find the intersection of a line with the axes by substituting values.
  • Coordinate Geometry – Identifying points on the Cartesian plane, specifically the y-intercept.
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