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What is the x-intercept of the line with equation 4x – 2y = 8?

  1. (0,2)

  2. (2,0)

  3. (4,0)

  4. (0,4)

The correct answer is: (2,0)

The x-intercept of a line is the point where the line crosses the x-axis, meaning that the y-value of the point is 0. To find the x-intercept, we substitute 0 for y in the given equation and solve for x. The equation is already in the slope-intercept form, y = mx + b, with the x-coefficient being 4 and the y-intercept being -4. When we plug in 0 for y, we get 4x - 2(0) = 8, which simplifies to 4x = 8. Dividing both sides by 4, we get x = 2. This means that the x-intercept is at the point (2, 0). Option A, (0,2), is the y-intercept of the line, as the point where the line crosses the y