1/4/2009 Algebra 2 (DM) Chapter 7 Solving Systems of Equations by graphing using slope- intercept method.

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Presentation transcript:

1/4/2009 Algebra 2 (DM) Chapter 7 Solving Systems of Equations by graphing using slope- intercept method

Solve a system of equations by graphing. X Y Look for: Point of Intersection (x, y) 1/4/2009Algebra 2 (DM)

Solving systems of linear equations using slope-intercept method Step 1: Re-write the both equation in slope-intercept form. (Solve for y) Step 3: Find the point of intersection (x, y) Step 2: Graph both equations using slope-intercept form 1/4/2009Algebra 2 (DM)

Medina4 Parallel, Perpendicular, Coinciding & Intersecting Lines Parallel Perpendicular m = same b = m = b = different Opposite sign & reciprocal Coinciding m = same b = same Intersecting m = different b = different 1 Solution No Solution Infinite Solution 1 Solution ( x, y )

Solving systems of linear equations using slope-intercept method Step 1: Re-write the both equation in slope-intercept form. (Solve for y) 1/4/2009Algebra 2 (DM)

Solving systems of linear equations using slope-intercept method Step 2: Graph both equations using slope- intercept form x y 1/4/2009Algebra 2 (DM)

Solving systems of linear equations using slope-intercept method x y Step 3: Find the point of intersection (x, y) (1, -1) Check your (x, y) 1/4/2009Algebra 2 (DM) 1 1

Solving systems of linear equations using slope-intercept method Step 1: Re-write the both equation in slope-intercept form. (Solve for y) 1/4/2009Algebra 2 (DM)

X Y Solving systems of linear equations using slope-intercept method Step 2: Graph both equations using slope- intercept form 1/4/2009Algebra 2 (DM)

X Y Solving systems of linear equations using slope-intercept method Step 3: Find the point of intersection (x, y) (2, 3) Check your (x, y) 1/4/2009Algebra 2 (DM)