Understand Linear Equations

When you are learning about linear equations, you must learn several forms of equations. Non-linear topics which are not covered in this article are all kinds of graphs and data that are not reducible into simple line form. The information below is pretty much of an overview (like a menu) under construction. Note: x1, x2, etc. should be interpreted as a subscript.

Steps

  1. See what was given to you that you need first -- to find the equation of a line. You will need one or the other of these two things to use:
    • you have received either two points -- or one point and the slope;
    • you have to find either two points -- or one point and the slope.
  2. Find the slope from the two given points, if to begin you were given two points, then your first step in any of the methods for writing the equation of the line is to .
  3. Click ==> Understand Slope (in Algebra) is about
    • using the slope formula m = (y - y1)/(x - x1)
  4. Point-slope equation (y - y1) = (x - x1)m
  5. The standard form is Ax + By = C
    • where A, B, and C are integers
  6. Click ==> Use the Slope Intercept Form (in Algebra) is existing
  7. Converting slope-intercept to standard form
  8. Converting standard form to slope-intercept form
  9. The standard form shortcut
    • using standard form Ax + By = C and
    • a known point and the known slope
  10. Click ==> Solve Systems of Algebraic Equations Containing Two Variables explains about intersection of two linear equations in one point (unless they're on the same line). They are several methods to do that.
  11. Click ==> Find the point of intersection of two lines: Algebraically Find the Intersection of Two Lines
  12. Click ==> Graph a line, using linear equations:
    1. Graph Linear Equations or
    2. Graph Linear Equations Using the Intercepts Method

Tips

  • In the standard form Ax + By = C the slope is -A/B
  • Create a Line Design showing interesting artistic effects that involve lines or linear equations.

Warnings

  • With any two points on a line, either point may be considered (x1, y1) and either point can be (x2, y2)

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