Graphing Linear Systems of Equations

Graphing Linear Systems of Equations

Module 6 topic 1

System of linear equations- two or more linear equations

Solution of a system of linear equations- an ordered pair that makes all of the equations in a system true; the point of intersection.

​Vocabulary

Is this point a solution?

Determine if (-1,-4) is a solution to the system y=3x-1

4x+y=-8

Substitute the point into both equations. The solution to a system of equations is the point of intersection/ point that satisfies both equations.

Multiple Choice

Determine if (-1,-4) is a solution to the system

y=3x-1

4x+y=-8

• Yes

• No

• What are you talking about Ms. T

• Goldfish

​Types of Solutions when graphing a system of equations

Multiple Choice

What is the solution to this system?

• (1, -1)

• (-1, 1)

• (0, -2)

• (2, 0)

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

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

How many solutions will this system have? 

• No solution

• One Solution

• I Don't Know

• Infinitely Many Solutions

Multiple Choice

What is the solution to the system?

• (3, -1)

• (2, -6)

• No Solution 

• (6, -2)

Multiple Choice

Parallel Lines never intersect because...

• they have the same slopes. 

• they have the same y-intercept.

• they have different slopes.

• they have different y-intercepts. 

​Complete the following problem using the steps listed.

Poll

Fist to Five: How confident are you at graphing a system of equations and identifying the solution?

• 1 I'm confused

• 2 I'm starting to get it, but need help

• 3 I can do it with help

• 4 I can do it on my own

• 5 I know it so well I could teach it