What is the x-intercept of the line y = 2x - 4?

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Multiple Choice

What is the x-intercept of the line y = 2x - 4?

Explanation:
The x-intercept is the point where the line crosses the x-axis, which means the y-value is zero. Set y to 0 in the equation: 0 = 2x - 4. Solve for x: 2x = 4, so x = 2. The x-intercept is (2, 0). The other options don’t fit because (0, -4) is the y-intercept (x = 0 gives y = -4), (4, 0) would require y = 0 at x = 4 but 2(4) - 4 = 4, not 0, and (0, 0) would require y = 0 when x = 0, which isn’t true for this line.

The x-intercept is the point where the line crosses the x-axis, which means the y-value is zero. Set y to 0 in the equation: 0 = 2x - 4. Solve for x: 2x = 4, so x = 2. The x-intercept is (2, 0). The other options don’t fit because (0, -4) is the y-intercept (x = 0 gives y = -4), (4, 0) would require y = 0 at x = 4 but 2(4) - 4 = 4, not 0, and (0, 0) would require y = 0 when x = 0, which isn’t true for this line.

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