Podcast
Questions and Answers
What is the Slope Formula?
What is the Slope Formula?
- m=(y1+y2)/(x1+x2)
- m=y1-y2/x1-x2
- m=y2-y1/x2-x1 (correct)
- m=(y2-y1)/(x2-x1) (correct)
What is the Point-Slope Form?
What is the Point-Slope Form?
y-y1=m(x-x1)
What is the Pythagorean Theorem?
What is the Pythagorean Theorem?
a²+b²=c²
How do you calculate the perimeter of a triangle?
How do you calculate the perimeter of a triangle?
What is the Quadratic Formula?
What is the Quadratic Formula?
What is the Discriminant in a quadratic equation?
What is the Discriminant in a quadratic equation?
What is the Midpoint Formula?
What is the Midpoint Formula?
How is the Distance Formula expressed?
How is the Distance Formula expressed?
What is the Vertex of a Parabola formula?
What is the Vertex of a Parabola formula?
What is the Direct Variation equation?
What is the Direct Variation equation?
What is the Inverse Variation equation?
What is the Inverse Variation equation?
What is the Joint Variation equation?
What is the Joint Variation equation?
Flashcards
Slope Formula
Slope Formula
m = (y₂ - y₁)/(x₂ - x₁)
Point-Slope Form
Point-Slope Form
y - y₁ = m(x - x₁)
Pythagorean Theorem
Pythagorean Theorem
a² + b² = c²
Triangle Perimeter
Triangle Perimeter
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Quadratic Formula
Quadratic Formula
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Discriminant
Discriminant
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Midpoint Formula
Midpoint Formula
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Distance Formula
Distance Formula
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Parabola Vertex
Parabola Vertex
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Direct Variation
Direct Variation
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Inverse Variation
Inverse Variation
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Joint Variation
Joint Variation
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Study Notes
Slope Formula
- Formula: ( m = \frac{y_2 - y_1}{x_2 - x_1} )
- Determines the slope between two points on a line.
Point-Slope Form
- Formula: ( y - y_1 = m(x - x_1) )
- Used to write the equation of a line given a point and its slope.
Pythagorean Theorem
- Formula: ( a^2 + b^2 = c^2 )
- Essential for calculating the length of a side in a right triangle, where ( c ) is the hypotenuse.
Perimeter of a Triangle
- Formula: ( p = a + b + c )
- Calculates the perimeter by summing the lengths of all three sides.
Quadratic Formula
- Formula: ( x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} )
- Provides solutions for ( x ) in any quadratic equation of the form ( ax^2 + bx + c = 0 ).
Discriminant
- Formula: ( b^2 - 4ac )
- Helps in identifying the number of solutions for a quadratic equation.
Midpoint Formula
- Formula: ( \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right) )
- Used to calculate the midpoint of a line segment defined by two endpoints ((x_1, y_1)) and ((x_2, y_2)).
Distance Formula
- Formula: ( d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} )
- Computes the distance between two points in a Cartesian plane.
Vertex of a Parabola
- Formula: ( \left( -\frac{b}{2a}, f\left(-\frac{b}{2a}\right) \right) )
- Identifies the vertex point of a quadratic function.
Direct Variation
- Formula: ( y = kx )
- Establishes a relationship where ( y ) is directly proportional to ( x ), with ( k ) as the constant of variation.
Inverse Variation
- Formula: ( y = \frac{k}{x} )
- Defines a relationship where ( y ) varies inversely with ( x ), again with ( k ) as the constant.
Joint Variation
- Formula: ( y = kxz )
- Indicates that ( y ) varies jointly with variables ( x ) and ( z ), with ( k ) as the constant of variation.
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Description
Test your knowledge with this quiz focused on essential mathematics formulas such as the slope formula, Pythagorean theorem, and quadratic formula. Each section provides a key formula and its application, helping you master critical concepts in geometry and algebra.
