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If the line 3x + 4y = 12 intersects the x-axis, what is the point of intersectio
If the line 3x + 4y = 12 intersects the x-axis, what is the point of intersection?
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Practice Questions
1 question
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)
Show Solution
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Set y = 0 in the equation: 3x = 12 => x = 4. The point is (4, 0).
Questions & Step-by-step Solutions
1 item
Q
Q: If the line 3x + 4y = 12 intersects the x-axis, what is the point of intersection?
Solution:
Set y = 0 in the equation: 3x = 12 => x = 4. The point is (4, 0).
Steps: 6
Show Steps
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).
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