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The Graphing linear equations exercise used to appear under the Algebra I Math Mission. This exercise introduces the graphing lines on the KA manipulative.

Types of Problems

There are three types of problems in this exercise:

  1. Graph the line given in slope-intercept form: This problem provides an equation of a line given in slope-intercept form. The student is expected to use this to graph the line.
    Gle1

    Graph the line given in slope-intercept form

  2. Graph the line given in standard form: This problem provides an equation of a line given in standard form. The student is expected to use this to graph the line.
    Gle2

    Graph the line given in standard form

  3. Graph the special case of a line: This problem provides an equation of a line that is either horizontal or vertical. The student is expected to graph the line on the coordinate plane.
    Gle3

    Graph the special case of a line

Strategies

Knowledge of graphing lines and the many forms of a line is useful for performing this exercise.

  1. There are really five forms of line and four of them show up here. Slope-intercept, Standard form, vertical line and horizontal line. The point-slope form is not terribly useful for this exercise.
  2. When graphing with slope-intercept, it is efficient to graph the y-intercept, then graph a second point by using slope.
  3. When graphing in standard form, using the intercepts is very efficient.
  4. Vertical lines have equations of x=h and horizontal lines are y=k.

Real-life applications

  1. Equations show up in nearly every science or business class one is ever in.
  2. Computers are also equation solvers. Computers were originally invented to solve equations over and over again instead of humans doing the calculations.

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