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Solve Systems of Equations by Graphing

Solve Systems of Equations by Graphing. Steps to Graphing. Make sure each equation is in slope-intercept form: y = mx + b. Graph each equation on the same graph paper. The point where the lines intersect is the solution . If they don’t intersect then there’s no solution.

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Solve Systems of Equations by Graphing

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  1. Solve Systems of Equations by Graphing

  2. Steps to Graphing • Make sure each equation is in slope-intercept form: y = mx + b. • Graph each equation on the same graph paper. • The point where the lines intersect is the solution. If they don’t intersect then there’s no solution. • Check your solution algebraically.

  3. 1. Graph to find the solution. Solution: (-1, 3)

  4. 2. Graph to find the solution. No Solution

  5. 3. Graph to find the solution. Solution: (-3, 1)

  6. 4. Graph to find the solution. Solution: (-2, 5)

  7. Types of Systems • Consistent-Independent • Inconsistent • Consistent-Dependent

  8. So basically…. • If the lines have the same y-intercept b, and the same slope m, then the system is consistent-dependent. • If the lines have the same slope m, but different y-intercepts b, the system is inconsistent. • If the lines have different slopes m, the system is consistent-independent.

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