Lesson 5-1 Look for relationship of linear equations

Lesson 5-1 Look for relationship of linear equations

Open Ended

What is the slope-intercept form of an equation?

Open Ended

What is the slope and y intercept:

y= 3x + 5

Multiple Choice

Write the equation of the line.

• y=(1/3)x-1

• y=(3/2)x -1

• y=3x-1

• y=(2/3)x-1

Essential question

How can you use the graphs to determine the number of solutions of each system?

Breakout rooms

Turn to pg. 268 and look over Example 1. In your groups I want you to discuss what relationships, patterns, or anything you notice between the 3 different graphs. Look for how many times they intersect, the slope and y-intercept of the line.

Open Ended

What did you and your partner notice in the first graph?

Open Ended

What did you and your partner notice in the second graph?

Open Ended

What did you and your partner notice in the third graph?

Poll

true or false: The equation has the same slope.

• true

• false

Multiple Choice

How many solutions does this system have?

y= 2x +4

y= 3x +3

• one solution

• no solution

• infinitely many solutions