What is the x-intercept of the line 3x + 4y - 12 = 0?

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Question: What is the x-intercept of the line 3x + 4y - 12 = 0?

Options:

Correct Answer: 3

Solution:

To find the x-intercept, set y = 0. Thus, 3x - 12 = 0 gives x = 4.

What is the x-intercept of the line 3x + 4y - 12 = 0?

What is the x-intercept of the line 3x + 4y - 12 = 0?

Step 1: Start with the equation of the line: 3x + 4y - 12 = 0.
Step 2: To find the x-intercept, we need to set y = 0 because the x-intercept is where the line crosses the x-axis.
Step 3: Substitute y = 0 into the equation: 3x + 4(0) - 12 = 0.
Step 4: Simplify the equation: 3x - 12 = 0.
Step 5: Add 12 to both sides of the equation: 3x = 12.
Step 6: Divide both sides by 3 to solve for x: x = 12 / 3.
Step 7: Calculate the value: x = 4.
Step 8: The x-intercept is the point (4, 0).

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