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The equation y = 2x + 1 is an example of what?

  1. A parabola

  2. A hyperbola

  3. A line

  4. A circle

The correct answer is: A line

This is because the given equation is in the form of y = mx + b, which represents a linear equation. In a linear equation, the variable y is dependent on the variable x, and the coefficient of x represents the slope of the line. In this case, the slope is 2, which means the line will have a positive slope, with a steepness of 2 units. The constant term, 1, represents the y-intercept, which is the point where the line crosses the y-axis. Therefore, the given equation is an example of a linear equation, specifically a line. Option A is incorrect because a parabola is represented by an equation in the form of y = ax^2 + bx + c, which cannot be simplified to the given equation. Option B is incorrect because a hyperbola is represented by an equation in the form of x^