LINEAR SYSTEMS – Graphing Method In this module, we will be graphing two linear equations on one coordinate plane and seeing where they intersect. You.

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Presentation transcript:

LINEAR SYSTEMS – Graphing Method In this module, we will be graphing two linear equations on one coordinate plane and seeing where they intersect. You can use either an ( x, y ) table, or slope – intercept to graph your lines. INTERSECTION POINT ( x, y )

LINEAR SYSTEMS – Graphing Method Example # 1 : Find the intersection point of the following system of equations :

LINEAR SYSTEMS – Graphing Method Example # 1 : Find the intersection point of the following system of equations : Using an ( x, y ) table : xy xy

LINEAR SYSTEMS – Graphing Method Example # 1 : Find the intersection point of the following system of equations : Using an ( x, y ) table : xy 06 xy

LINEAR SYSTEMS – Graphing Method Example # 1 : Find the intersection point of the following system of equations : Using an ( x, y ) table : xy xy

LINEAR SYSTEMS – Graphing Method Example # 1 : Find the intersection point of the following system of equations : Using an ( x, y ) table : xy xy

LINEAR SYSTEMS – Graphing Method Example # 1 : Find the intersection point of the following system of equations : Using an ( x, y ) table : xy xy 0- 3

LINEAR SYSTEMS – Graphing Method Example # 1 : Find the intersection point of the following system of equations : Using an ( x, y ) table : xy xy

LINEAR SYSTEMS – Graphing Method Example # 1 : Find the intersection point of the following system of equations : Using an ( x, y ) table : xy xy INTERSECTION POINT ( 4, 5 )

LINEAR SYSTEMS – Graphing Method Example # 1 : Find the intersection point of the following system of equations : Using an ( x, y ) table : INTERSECTION POINT ( 4, 5 ) CHECK

LINEAR SYSTEMS – Graphing Method Example # 2 : Find the intersection point of the following system of equations :

LINEAR SYSTEMS – Graphing Method Example # 2 : Find the intersection point of the following system of equations : Using an ( x, y ) table : xy xy

LINEAR SYSTEMS – Graphing Method Example # 2 : Find the intersection point of the following system of equations : Using an ( x, y ) table : xy 0 xy

LINEAR SYSTEMS – Graphing Method Example # 2 : Find the intersection point of the following system of equations : Using an ( x, y ) table : xy 06 xy

LINEAR SYSTEMS – Graphing Method Example # 2 : Find the intersection point of the following system of equations : Using an ( x, y ) table : xy xy

LINEAR SYSTEMS – Graphing Method Example # 2 : Find the intersection point of the following system of equations : Using an ( x, y ) table : xy xy

LINEAR SYSTEMS – Graphing Method Example # 2 : Find the intersection point of the following system of equations : Using an ( x, y ) table : xy xy 01

LINEAR SYSTEMS – Graphing Method Example # 2 : Find the intersection point of the following system of equations : Using an ( x, y ) table : xy xy 01 10

LINEAR SYSTEMS – Graphing Method Example # 2 : Find the intersection point of the following system of equations : Using an ( x, y ) table : xy xy 01 10

LINEAR SYSTEMS – Graphing Method Example # 2 : Find the intersection point of the following system of equations : Using an ( x, y ) table : xy xy INTERSECTION POINT ( – 3, 4 )

LINEAR SYSTEMS – Graphing Method Example # 2 : Find the intersection point of the following system of equations : Using an ( x, y ) table : INTERSECTION POINT ( – 3, 4 ) CHECK

LINEAR SYSTEMS – Graphing Method Example # 3 : Find the intersection point of the following system of equations :

LINEAR SYSTEMS – Graphing Method I will use slope – intercept on this one… Example # 3 : Find the intersection point of the following system of equations :

LINEAR SYSTEMS – Graphing Method I will use slope – intercept on this one… Example # 3 : Find the intersection point of the following system of equations :

LINEAR SYSTEMS – Graphing Method I will use slope – intercept on this one… Example # 3 : Find the intersection point of the following system of equations :

LINEAR SYSTEMS – Graphing Method I will use slope – intercept on this one… Example # 3 : Find the intersection point of the following system of equations :

LINEAR SYSTEMS – Graphing Method I will use slope – intercept on this one… Example # 3 : Find the intersection point of the following system of equations :

LINEAR SYSTEMS – Graphing Method I will use slope – intercept on this one… Example # 3 : Find the intersection point of the following system of equations :

LINEAR SYSTEMS – Graphing Method I will use slope – intercept on this one… Example # 3 : Find the intersection point of the following system of equations :

LINEAR SYSTEMS – Graphing Method Example # 3 : Find the intersection point of the following system of equations : I will use slope – intercept on this one…

LINEAR SYSTEMS – Graphing Method Example # 3 : Find the intersection point of the following system of equations : I will use slope – intercept on this one… INTERSECTION POINT ( 2, – 1 )

LINEAR SYSTEMS – Graphing Method Example # 3 : Find the intersection point of the following system of equations : I will use slope – intercept on this one… INTERSECTION POINT ( 2, – 1 ) CHECK