Graphing a System of Equations

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Taught by mrbrianmclogan
  • Currently 4.0/5 Stars.
5826 views | 1 rating
Part of video series
Meets NCTM Standards:
Lesson Summary:

In this lesson, we learn how to graph a system of equations using slope intercept form. By converting both equations to y = mx + b form, we can easily determine the slope and y-intercept. Once we have graphed both lines, we can see where they intersect to find the solution to the system of equations. However, if the lines do not intersect, as in the case of an inconsistent solution, there is no solution to the system of equations.

Lesson Description:

How to graph a system of equations using slope intercept form

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Questions answered by this video:
  • How do you graph a system of equations?
  • How do you graph y + 4x = 12?
  • How do you graph 3y = 8 - 12x?
  • How can you find the solution to a system of equations by graphing?
  • How do you graph a y-intercept if it is a fraction?
  • What does it mean for a system of equations to be inconsistent?
  • What happens if the graphs of a system of equations are parallel and never touch?
  • Staff Review

    • Currently 4.0/5 Stars.
    This lesson shows another example problem for finding the solution to a system of equations by graphing. All steps for writing the equations in slope-intercept form and graphing them are shown. In this problem, the graphs are very rough sketches, but the lines are parallel, so it does not matter much.