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What type of function is defined by the point-slope equation y - 2 = 6(x - 4)?

  1. Linear

  2. Quadratic

  3. Exponential

  4. Logarithmic

The correct answer is: Linear

This equation represents a linear function because it has a constant slope (in this case, 6) and a constant y-intercept (in this case, 2). The equation is in the form y = mx + b, where m is the slope and b is the y-intercept. Quadratic, exponential, and logarithmic functions do not have this form and therefore do not match the given equation.