Question: If the line 3x + 4y = 12 intersects the x-axis, what is the x-coordinate of the intersection point?
Options:
4
3
2
1
Correct Answer: 4
Solution:
Set y = 0 in the equation: 3x = 12 => x = 4.
If the line 3x + 4y = 12 intersects the x-axis, what is the x-coordinate of the
Practice Questions
Q1
If the line 3x + 4y = 12 intersects the x-axis, what is the x-coordinate of the intersection point?
4
3
2
1
Questions & Step-by-Step Solutions
If the line 3x + 4y = 12 intersects the x-axis, what is the x-coordinate of the intersection point?
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.
Step 4: Simplify the equation to 3x = 12.
Step 5: Solve for x by dividing both sides by 3: x = 12 / 3.
Step 6: Calculate the value: x = 4.
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 the x-axis – The x-axis is defined by the condition y = 0, which is crucial for finding the x-coordinate of intersection points.
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