Question: If the line 3x + 4y = 12 intersects the x-axis, what is the point of intersection?
Options:
(4, 0)
(0, 3)
(0, 4)
(3, 0)
Correct Answer: (4, 0)
Solution:
Set y = 0 in the equation: 3x = 12 => x = 4. The point is (4, 0).
If the line 3x + 4y = 12 intersects the x-axis, what is the point of intersectio
Practice Questions
Q1
If the line 3x + 4y = 12 intersects the x-axis, what is the point of intersection?
(4, 0)
(0, 3)
(0, 4)
(3, 0)
Questions & Step-by-Step Solutions
If the line 3x + 4y = 12 intersects the x-axis, what is the point of intersection?
Correct Answer: (4, 0)
Step 1: Understand that the x-axis is where y = 0.
Step 2: Substitute y = 0 into the equation 3x + 4y = 12.
Step 3: The equation becomes 3x + 4(0) = 12, which simplifies to 3x = 12.
Step 4: Solve for x by dividing both sides by 3: x = 12 / 3.
Step 5: Calculate x = 4.
Step 6: The point of intersection on the x-axis is (4, 0).
Finding Intersection Points – This involves determining where a line intersects the axes by substituting the appropriate variable (x or y) to find the corresponding coordinate.
Understanding Linear Equations – This tests the ability to manipulate and solve linear equations in two variables.
Soulshift Feedback×
On a scale of 0–10, how likely are you to recommend
The Soulshift Academy?
