Graph the equation..

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Solving Linear Systems by Graphing

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Presentation transcript:

Graph the equation.

Definitions Linear System (or System of Equations) = Two or more equations with the same variables Solution of a Linear System = The point where the two lines cross/intersect. -Must make BOTH equations TRUE! Point of Intersection = The solution of the linear system.

Solving a System of Equations by Graphing 1. Write each equation into slope-intercept form. What is m and b? m = move b = beginning 2. Graph both equations in the same coordinate plane. 3. Find the point of intersection. 4. Check your answer. - Plug that point into both equations and make sure that it is true for both.

Solve the system by graphing. Ex. 1) Put in slope- intercept form. 2) Graph the equations. - Find m and b first. 3) Point of intersection? 4) Check answer!

Step 5- Check your answer. x y

Solve the system by graphing. Now you try. Solve the system by graphing. Ex. 1) Put in slope- intercept form. 2) Graph the equations. - Find m and b first. 3) Point of intersection? 4) Check answer!

Step 5- Check your answer. x y

Solve the system by graphing. Ex. 1) Put in slope- intercept form. 2) Graph the equations. - Find m and b first. 3) Point of intersection? 4) Check answer!

Step 5- Check your answer. x y

Solve the system by graphing. Now you try. Solve the system by graphing. Ex. 1) Put in slope- intercept form. 2) Graph the equations. - Find m and b first. 3) Point of intersection? 4) Check answer!

Step 5- Check your answer. x y

Number of Solutions for a Linear System C One solution No solution Infinite solutions (Parallel Lines) (Same Lines)

Solve the system by graphing. Ex. 1) Put in slope- intercept form. 2) Graph the equations. - Find m and b first. 3) Point of intersection? 4) Check answer!

Class Work Solve the system by graphing.