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The graph of y = 2x - 4 is shown below. If the slope of the line is doubled, the new equation is y = 4x -4. Which of these is a correct comparison?
- A The x-intercept and y-intercept change.
- B The x-intercept and y-intercept stay the same.
- C The x-intercept changes, and the y-intercept is the same.
- D The x-intercept is the same, and the y-intercept changes.
That's Correct!
It's Wrong!
When the slope of the line is doubled, the equation becomes y = 4x - 4. The x-intercept is the value of x when y is equal to zero. In the original equation y = 2x - 4, the x-intercept is x = 2. However, in the new equation y = 4x - 4, the x-intercept is x = 1. Therefore, the x-intercept changes. On the other hand, the y-intercept is the value of y when x is equal to zero. In both the original and new equations, the y-intercept remains the same at y = -4. Therefore, the correct comparison is that the x-intercept changes, and the y-intercept is the same.
