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Indietro

Chapter 1 Formula

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  • Coordinate Plane


    A graph with two number line

  • X-Intercept


    The graph crosses the x-axis

    To find the x-intercept ---> set y=0

  • Y- Intercept


    The graph crosses the y-axis

    To find the y-intercept ---> set x=0

  • Distance between two points


    Formula: 𝑑= √(𝑥2−𝑥1)2+(𝑦2−𝑦1) 2

  • Midpoint Formula


    (x^1+x^2/2, y^1+y^2/2)

  • Circle


    (x-h)^2+(y-k)^2=r^2

  • Relation:


    A connection between x &y values

  • Function


    A special type of relation where each input has at most one output

  • Finding Domain of Equation


    • No negative number under square root

    • For fractions , denominators cannot equal 0

  • [,] ≤, ≥


    • Include

    • Closed Circle

  • (,) < , >


    • Exclude

    • Open Circle

  • Direct Variations


    • "Verys Directly"

    • y=Kx

  • Inverse Variation


    "varies Inverly"

    • Time= K/p

    • Y= k/x

  • Combined (Joint) Variations


    • y=Kxz

  • Slope


    m= y^2-y^1/x^2-x^1

    rise/run

  • If line goes up from left to right


    slope is positive

  • If line goes down from left to right


    slope is negative

  • Horizontal Line


    slope is ZERO

    Y=#

  • Vertical Line


    Slope is Undefined

    X=#

  • Slope Intercept Form


    Y=mx+b

  • Point Slope Form


    Y-y^1=m(X-x^1)

  • Conditional


    • ONE Solution

  • Identity


    • TRUE Statement

    • (all real numbers)

  • Inconsistent/Contradiction


    • FALSE Statement

    • empty set

  • Parellel Line


    • Slopes = equal

    • Y-Intercept does not equal

  • Perpendicular Lines


    • Slope have opposite signs and are reciprocals

    • Lines intersect at right angle (90)