Algebra A

Linear Equation

Linear Formulas

Slope-Intercept Formula

Point-Slope Formula

Standard Form

Vertical

Horizontal

Graphing

Mid-Point

[(x)1 + (x)2]/2, [(y)1 + (y)2]/2

Distance

√[(x₂ - x₁)² + (y₂ - y₁)²]

Slope

Formula

Relationship

Shape

Positive: The line goes upward as it goes from left to right

Negative: The line goes downward as it goes from left to right.

0: The line is horizontal

Undefined: The line is vertical

Quadratic Equation

Quadratic Formula

General

Ax^2+Bx+C=0

Standard Form

A(x-h)^2+K

Factored

f(x)=a(x-r)(x-s)

Graphing

Roots

Intercept Formula: Discriminant b2-4ac

Positive

Negative

Vieta's Formula

x1+x2=-b/a; x1x2=c/a

Shapes

a>0

Facing up

a=0

Line

a<0

Facing down

Vertex: A point where two curves meet

Factoring

Monic Quadratics

When we turn x^2+bx+c to (x+r)(x+s), we need to use r+s=b rs=c

General Quadratics

Solving Quadratics

Quadratic Formula

(-b±√(b²-4ac))/(2a)

Factoring

Variables: Letters

Coefficients: Constant(numbers that never change)

Term: The product of a constant and a variable raised to some power.