Algebra 2 Part 1
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  • Prerequisite Skills
    • LCM GCD
    • Coordinate Geometry >
      • Quadrants
    • Fraction Operations
  • Functions
    • Laws and Properties >
      • Define Relations
      • Domain and Range
    • Rates of Change LINEAR QUADRATIC CUBIC FUNCTIONS
    • Relationship, Function, or 1-1 Function
  • Linear
    • Classifications of Lines
    • Forms of the Line >
      • Ax+By=C >
        • standard form of the line >
          • Writing Standard Form from two points examples 1 and 2
          • Standard Form Examples
      • y-y1 = m(x-x1) >
        • Point Slope Form to Slope Intercept Form >
          • point slope of line
          • Point Slope Form to Slope Intercept Form
      • y=mx+b >
        • y=mx+b generator
        • y=mx+b parallel lines
        • y=mx+b perpendicular lines
        • y=mx+b at least one integer coordinate
        • y = mx +b determine x intercept >
          • y=mx+b finding x intercepts using substitution
          • y=mx+b finding x intercepts using zero product property
          • y = mx+b finding x intercepts using technology >
            • y=mx+b determination of x intercepts using technology two lines method
            • y=mx+b finding the x intercept using technology and point on feature
            • y=mx+b finding the x intercept using technology and analyze feature
    • Vocabulary and Skills to Develop >
      • Slope of a Line >
        • Slopes of Horizontal and Vertical Lines
        • Determine the slope of the line from a graph of a line
        • Determine the slope of a line in standard form >
          • 3x - 4y = -12
          • 3x + y = 6
          • 3x - 5y = 0
      • Writing Equations of Lines >
        • horizontal and vertical lines
    • Domain and Range
    • Graphing >
      • Graphing Linear Inequalities Entry Slip Solutions 9-16-14
    • Solving Equations
    • Applications
  • Quadratic
    • Forms of Quadratic Functions and Relations >
      • perfect square trinomials >
        • PST y = (x-a)^2
        • PST y = (x+a)^2
        • PST y = (ax-b)^2
        • PST y = (ax+b)^2
      • difference of two squares binomials >
        • DOTS y = (x-a)(x+a)
        • DOTS y = (ax-b)(ax+b)
      • standard form of a quadratic function >
        • y=ax^2+bx+c
        • y=ax^2+bx
        • y=ax^2+c
      • vertex form of a quadratic function >
        • y=a(x-h)^2+k
      • intercept form of a quadratic function >
        • y=a(x-r1)(x-r2)
    • Domain and Range >
      • Domain of Quadratic Functions & Relations
      • Range of Quadratic Functions & Relations
    • Graphing parabolas >
      • finding y intercept of a parabola
      • finding axis of symmetry of a parabola
      • finding vertex of a parabola
      • finding x intercepts of a parabola
      • finding focus of a parabola
      • finding directrix line of a parabola
      • using piecewise functions
      • using radicals
      • quadratic inequalities
    • Solving Equations >
      • solving quadratic equations using factoring
      • ax^2+bx+c=0
      • a(x-h)^2 +k=0
      • a(x-r1)(x-r2) =0
      • (dx-e)(x-r1)=0
      • (dx-e)(fx-g)=0
      • solving equations using quadratic formula >
        • quadratic formula d < 0
        • quadratic formula d = 0
        • quadratic formula d > 0
        • quadratic formula d = perfect square
    • Applications
    • Conic Sections >
      • Parabola as a conic section >
        • Parabola OPENS UP
        • Parabola OPENS DOWN
        • Parabola OPENS RIGHT
        • Parabola OPENS LEFT
      • Circle >
        • Parts of a Circle
        • CIRCLE center (0,0) radius r
        • CIRCLE center (h,k) radius r
        • CIRCLE General Conic Equations
      • Ellipse >
        • Parts of an Ellipse
        • Ellipse center (0,0)
        • Ellipse center (h,k)
        • ELLIPSE General Conic Equations
      • Hyperbola >
        • Parts of an Hyperbola
  • Systems
    • SOLUTIONS TO DAILY PRACTICE 9-29-14 DUE 9-30-14
    • Forms of Systems
    • Linear Systems >
      • Solving Linear Systems by Graphing
      • Types of Systems >
        • Standard Form Linear Systems >
          • Example 1
    • Domain and Range
    • Graphing
    • Solving Systems
    • Applications
  • Polynomial
    • Forms of Polynomials >
      • cubic polynomials
      • quartic polynomials
      • quintic polynomials
      • nth degree polynomials
    • Laws and Properties >
      • factorable polynomials
      • Fundamental Theorem of Algebra
      • Factor Theorem
      • Remainder Theorem
      • Rational Root Theorem
      • Location Principle
      • Division of Polynomials
      • Quick Checks Using Tables and Graphs
      • Connections to Calculus
    • Domain and Range >
      • Domain of Polynomials
      • Range of Polynomials
    • Graphing
    • Solving Equations
    • Applications
  • Exponential
    • Laws and Properties >
      • Exponent Laws >
        • power of power
        • product of powers
        • power of product
        • power of a quotient
        • quotient of powers
        • negative exponents
        • zero as an exponent
        • rational exponents
        • power of binomials
        • Pascal's Triangle
    • Applications of Exponential Functions >
      • exponential population change models
      • exponential interest models
      • exponential position model
    • Graphing Exponential Functions >
      • graphing y = b^x >
        • y = b^x
      • graphing y = b^x+c >
        • y = b^x+c
      • graphing y = ab^x >
        • y = ab^x+c
      • graphing y = ab^x+c >
        • y = ab^x+c
  • template slideshow
    • template 4 button and slideshow >
      • nine button template
      • template slideshow
      • template slideshow
      • template slideshow
      • template slideshow
      • Untitled
  • Operations with polynomials
  • solutions to final exam study guide
  • 1: What are the basic parent function characteristics?
  • Objectives Algebra 2 Basic
  • Assignments Algebra 2 Basic
  • Solutions Algebra 2 Basic
  • Additional Materials Algebra 2 Basic
  • Objectives Algebra 2 Enriched
  • Assignments Algebra 2 Enriched
  • Solutions Algebra 2 Enriched
  • Additional Materials Algebra 2 Enriched
  • TI Nspire Files

Determine the slope of a line from a set of a graph of coordinates

Do the coordinates lie on a vertical line?
Do the coordinates lie on a horizontal line?
Do the coordinates lie on a diagonal line?
Does the diagonal line have a positive or negative slope line?

Finding Slope
1) If the coordinates all lie on a line that has the same y coordinate, then the line is horizontal, and the slope is zero. 

2) If the coordinates all lie on a line that has the same x coordinate, then the line is vertical, and the slope is undefined.

3) Lines that are diagonal and travel UP to the RIGHT have positive slope. (the line will also travel DOWN to the LEFT )

4) Lines that are diagonal and travel DOWN to the RIGHT have negative slope. (the line will also travel UP to the LEFT )

Set A) in given example is a diagonal line with positive slope
Set B)  in given examples is a horizontal line
Set C) in given examples is a diagonal line with negative slope
Set D) in given examples is a vertical line
The following will show the related intercepts, slopes, and equations of the lines in each set of five points 
Set A
Set B
Set C
Set D
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