Discovery Lesson Writing Equations (Perpendicular)

What do you notice about the two equations? Signs of the Slopes? ___________ Numbers that make the Slopes?___ How are they related to each other? ___________________________ What would happen if I multiplied the slopes together? What does that mean?___________ Negative reciprocals of each other

Predict what you think the graphs will look like based on what you know about slope and y-intercepts Increasing? Decreasing? Do they Cross?

What does this Square tell you? What are the properties of a square?

Were you correct in your prediction?

What does this Square tell you?

What happens when you multiply the slopes together?

What is the cause of this special relationship? _________________________________________ Explain how you can look at two equations in slope- intercept form to determine if they have this special relationship. ______________________________________________________

Compare the pairs below:

If I gave you an equation, can you write another equation so the two lines would be perpendicular to each other.

now go to next column 3) Find line perpendicular to and goes through (-3, 4) Step 1Step 2Step 3 FLIP the slope & CHANGE the SIGN

now go to next column 3) Find line perpendicular to and goes through (-3, 4) Step 1Step 2Step 3 FLIP the slope & CHANGE the SIGN

Perpendicular Lines (symbol) Lines that form a 90° Angle. Perpendicular Lines have one solution written as an ordered pair. Perpendicular Lines’ slopes are NOT the same (negative reciprocals). Do 2 things… FLIP the slope & CHANGE the SIGN

Given slope : Perpendicular slope:

now go to next column 3) Find line perpendicular to and goes through (-6, 4) Step 1Step 2Step 3 FLIP the slope & CHANGE the SIGN

now go to next column 4) Find line perpendicular to and goes through (4, 7) Step 1 Step 2 Step 3 FLIP the slope & CHANGE the SIGN