Systems of Equations - Graphing

Solving Systems of Equations with Graphing

One Solution

• The two lines intersect (touch) at ONE POINT

• Your answer should be an ordered pair (x, y)

No Solution

• The two lines NEVER intersect (touch)

Infinitely Many Solution

• The equations are on SAME LINE

• Your answer should be an ordered pair (x, y)

Multiple Choice

The solution to the system is

• (-2, -8)

• (-8, -2)

• (2, -8)

• No solution

Multiple Choice

When you graph the exact same equation twice,

• you will have no solution.

• you will have one solution.

• you will have infinite solutions.

• you will graph a giraffe.

Multiple Choice

What is the solution to the system?

• (3, -1)

• (2, -6)

• No Solution

• (6, -2)

Multiple Choice

What is the solution to a system of equations?

• The point that the equations have in common.

• The point where the two lines intersect.

• All of the above.

Multiple Choice

Buzz graphed two lines in order to find the solution to a given system of equations.

What is the solution?

• (-1, 4)

• (1, -4)

• (-4, 1)

• (4, -1)

Multiple Choice

What is the solution to the system?

• (6, 8)

• (8, 6)

• (-6, 8)

• No solution

Multiple Choice

HOW is a coordinate pair ordered?

• (big number, small number)

• (small number, big number)

• (y, x)

• (x, y)

Multiple Choice

If a system of linear equations has one solution, what does this mean about the two lines?

• Parallel lines

• the same line

• Intersecting lines

Multiple Choice

If a system of linear equations has infinitely many solutions, what does this mean about the two lines?

• Intersecting lines

• Same line

• Parallel lines

Multiple Choice

^{What is the solution?}

• 1

• -2

• (1, 2)

• (1, -1)

Multiple Choice

Lesly graphed two lines in order to find the solution to a given system of equations.

What is the solution?

• (-3,-8)

• (-8,-3)

• (3,-8)

• (8,3)

Multiple Choice

What is the solution to this system?

• (1, -1)

• (-1, 1)

• (0, -2)

• (2, 0)

Multiple Choice

What is the solution to the system?

• (3, -1)

• (2, -6)

• No Solution

• (6, -2)

Multiple Choice

When you graph the exact same equation twice,

• you will have no solution.

• you will have one solution.

• you will have infinite solutions.

• you will graph a giraffe.

Multiple Choice

What is the solution to this system?

• One Solution
• No solution
• Infinitely Many Solutions

Multiple Choice

Alex graphed two lines in order to find the solution to a given system of equations.

What is the solution?

• (-3,-8)

• (-8,-3)

• (-8,-3)

• (8,3)

Multiple Choice

The solution (x, y) to a system of equations is the point where they...?

• Run off the graph

• Don't touch

• Intersect

• Exist

Multiple Choice

How many solutions will this system have?

• No solution

• One Solution

• I Don't Know

• Infinitely Many Solutions

Multiple Choice

How many solutions will this system have?

• One

• Two

• No Solution

• Infinitely Many Solutions

Multiple Choice

How many solutions will this system have?

• No Solution

• Infinitely Many Solutions

• No Clue

• One solution

Poll

How confident are you able to identify how many solutions a graph has?

• I'm an expert

• I'm getting there

• I'm clueless and did not use any resources to help me