My Learning Cart
?
Categories
Account

If the line 2x + 3y = 6 intersects the x-axis, what is the point of intersection

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

What’s inside this PDF?

Question: If the line 2x + 3y = 6 intersects the x-axis, what is the point of intersection?

Options:

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

Correct Answer: (3, 0)

Solution: 

Setting y = 0 gives 2x = 6, thus x = 3. The point of intersection is (3, 0).

If the line 2x + 3y = 6 intersects the x-axis, what is the point of intersection

Practice Questions

Q1
If the line 2x + 3y = 6 intersects the x-axis, what is the point of intersection?
  1. (3, 0)
  2. (0, 2)
  3. (0, 3)
  4. (2, 0)

Questions & Step-by-Step Solutions

If the line 2x + 3y = 6 intersects the x-axis, what is the point of intersection?
  • Step 1: Understand that the x-axis is where y = 0.
  • Step 2: Substitute y = 0 into the equation 2x + 3y = 6.
  • Step 3: The equation becomes 2x + 3(0) = 6, which simplifies to 2x = 6.
  • Step 4: Solve for x by dividing both sides of the equation by 2, giving x = 3.
  • Step 5: The point of intersection on the x-axis is (3, 0).
  • Linear Equations – Understanding how to find the intersection of a line with the axes by substituting values.
  • Coordinate Geometry – Applying knowledge of coordinates to determine points of intersection on the Cartesian plane.
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