Linear Transformations

Linear Transformations

What is the equation of the line in the graph below?

Choose the correct answer on the following slide

Multiple Choice

What is the equation of this line?

• $$y=\frac{1}{2}x$$  

• $$y=2x$$  

• $$y=-2x$$  

• $$y=2x+1$$  

What if someone decided to move this graph up 2 points in the positive direction. Would this change the equation of this graph?

Poll

The equation of this line is $$y=2x$$  

What part of the equation do think would change if we moved the line up 2 points in the positive direction?

• Slope

• Y-Intercept

Shifting a graph up, down, right, or left will affect only the y-intercept!!

What is the equation of the following graph?

Multiple Choice

If $$y=x+2$$  moves down 5 points in the negative direction, what is the equation of the new line?

• $$y=x-5$$   

• $$y=-5x+2$$  

• $$y=x+7$$  

• $$y=x-3$$  

Multiple Choice

If $$y=x+2$$  moves up 3 points in the positive direction, what is the equation of the new line?

• $$y=x+3$$   

• $$y=3x+2$$  

• $$y=x+5$$  

• $$y=x+1$$  

Now we are going to look at comparing two linear functions!

The equation of the red line is  

The equation of the green line is  

A slope with a greater absolute value will be steeper! Which of these functions has a steeper slope?

Which of these functions has a steeper slope?