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Questions and Answers
What is the formula for the midpoint?
(x₁ + x₂/2, y₁ + y₂/2)
What is the formula for distance between two points?
√(x₂x₁)²+(y₂y₁)²
What is the formula for rate of change?
(f(x₂)  f(x₁)) / (x₂  x₁)
What is the quadratic equation?
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What is the point slope formula?
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Study Notes
Key Formulas in Precalculus

Midpoint Formula
 Used to find the midpoint between two points (x₁, y₁) and (x₂, y₂) in a Cartesian plane.
 Formula: (x₁ + x₂)/2, (y₁ + y₂)/2

Distance Formula
 Computes the distance between two points (x₁, y₁) and (x₂, y₂).
 Formula: √((x₂  x₁)² + (y₂  y₁)²)

Rate of Change
 Measures how a quantity changes over an interval, important in calculus for derivatives.
 Formula: (f(x₂)  f(x₁)) / (x₂  x₁)

Quadratic Equation
 A fundamental equation in algebra, used to find the roots of a quadratic function ax² + bx + c = 0.
 Formula: x = (b ± √(b²  4ac)) / (2a)

PointSlope Form
 Equation of a line given a point (x₁, y₁) on the line and the slope m.
 Formula: y  y₁ = m(x  x₁)
Summary of Importance
 These formulas are essential for various applications in geometry, algebra, and calculus, providing foundational skills for problemsolving and analysis in mathematics.
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Description
This quiz covers essential formulas used in precalculus, including the midpoint and distance formulas, rate of change, the quadratic equation, and pointslope form. Understanding these concepts is vital for success in higherlevel mathematics such as calculus and algebra. Test your knowledge and strengthen your math skills with this quiz.