Solving Systems by Graphing

Solving Systems by Graphing

By Mrs.Bennett

We can find the solution to a system of equations by graphing the equations.

• y=2x+3

• y=-3x-4

Poll

What form do we need our equations to be in so that we are able to graph them?

• Point Slope Form

• Slope Intercept Form

• Standard Form

Lets take a look!

One Solution looks like..

No Solution Looks Like..

These lines will never intersect

Infinite Amount of Solutions Looks Like..

Lines on top of each other

Multiple Choice

If two lines intersect ONCE, how many solutions will the system of equations have?

• One solution

• Infinite solutions

• No Solutions

Multiple Choice

If two lines NEVER intersect, how many solutions will the system have?

• One Solution

• Infinite Number of Solutions

• None

Multiple Choice

If a system of equations have two lines that overlap, meaning that they share all points, how many solutions does the system have?

• One Solution

• Infinite Number of Solutions

• None

Multiple Choice

How many solutions will this system have?

• One Solution

• No Solution

• Infinite Number of Solutions

Open Ended

What is the solution?