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College Algebra Key Formulas and Concepts

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  • What is the distance formula between two points?

    The distance between points (x₁, y₁) and (x₂, y₂) is given by \(\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\).
  • What is the midpoint formula for a segment between two points?

    The midpoint of points (x₁, y₁) and (x₂, y₂) is \(\left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\right)\).
  • Define the domain of a function.

    The domain is the set of all possible input values (x-values) for which the function is defined.
  • What is the point-slope form of a line?

    The point-slope form is \(y - y_1 = m(x - x_1)\), where m is the slope and (x₁, y₁) is a point on the line.