Parallel and Perpendicular Slopes and Equations.notebook
December 02, 2016
Recognizing Parallel and Perpendicular
Lines
1) Students will be able to look at lines in slope-intercept form and
tell if they are parallel or perpendicular to each other.
2) Students will be able to re-write lines in slope-intercept form and
determine if they are parallel or perpendicular.
Lesson objectives
Teachers' notes
Parallel and Perpendicular Slopes and Equations.notebook
December 02, 2016
Parallel and
Perpendicular Lines
and Their Slopes
Parallel and Perpendicular Slopes and Equations.notebook
What are Parallel and
Perpendicular Lines?
Draw an example of each
in your notebook.
December 02, 2016
Parallel and Perpendicular Slopes and Equations.notebook
December 02, 2016
Parallel Lines are lines that
will NEVER touch.
Perpendicular Lines are lines
that touch at one place and
form a right angle.
Parallel and Perpendicular Slopes and Equations.notebook
December 02, 2016
Let's take a look at a graph of 2 parallel lines.
What do you notice?
Parallel and Perpendicular Slopes and Equations.notebook
December 02, 2016
Parallel lines have the same slope!
Parallel and Perpendicular Slopes and Equations.notebook
December 02, 2016
Parallel Lines have the same
___________.
How in the world will we
remember this?
I KNOW!!
Parallel and Perpendicular Slopes and Equations.notebook
December 02, 2016
Parallel Lines have the same slope.
Parallel Lines have the same slope.
Parallel Lines have the same slope,
and never will they meet.
(to the tune of Skip to My Lou)
Parallel and Perpendicular Slopes and Equations.notebook
December 02, 2016
What about perpendicular lines?
Slopes of perpendicular lines have
NEGATIVE RECIPROCAL
slopes.
Which means...
take the slope and flip it, then make it opposite.
m=1/2
perpendicular slope=
Parallel and Perpendicular Slopes and Equations.notebook
December 02, 2016
Perpendicular lines have opposite (sign change)
AND
reciprocal ("flip it") slopes of each other.
Parallel and Perpendicular Slopes and Equations.notebook
December 02, 2016
Perpen, Perpendicular. Right Angle.
Perpen, Perpendicular. Right Angle.
First you take the slope and you flip it, you flip it.
Then you take the slope and make it opposite,
opposite.
Perpen, Perpendicular. Right Angle.
(to the tune of Peanut Butter and Jelly)
Parallel and Perpendicular Slopes and Equations.notebook
December 02, 2016
Click on the boxes to reveal the slope
Original Slope
Parallel Slope
Perpendicular Slope
is undefined
Parallel and Perpendicular Slopes and Equations.notebook
December 02, 2016
Are the lines parallel,
perpendicular, or neither?
y = 2x + 3
y = 2x - 5
They are parallel
because
the slopes are the
same.
Parallel and Perpendicular Slopes and Equations.notebook
December 02, 2016
Are the lines parallel, perpendicular
or neither?
The lines are perpendicular
to each other because the
slopes are opposites and
reciprocals of each other.
Parallel and Perpendicular Slopes and Equations.notebook
December 02, 2016
Write the equation of a line
that is PARALLEL to each of the following:
y = 4x + 2
Parallel and Perpendicular Slopes and Equations.notebook
December 02, 2016
Write the equation of a line
that is PERPENDICULAR to the following:
y = 4x + 2
Parallel and Perpendicular Slopes and Equations.notebook
December 02, 2016
Write an equation of a line that is parallel to the
following and goes through the following point:
y= x + 5
through the point (6,5)
Parallel and Perpendicular Slopes and Equations.notebook
December 02, 2016
Parallel and Perpendicular Slopes and Equations.notebook
December 02, 2016
Fill in the blank
Parallel lines have the same ____________ but a different _______.
Back
Parallel and Perpendicular Slopes and Equations.notebook
December 02, 2016
Write an equation of a line
parallel to y = 3x-1,
through (4,1)
Back
Parallel and Perpendicular Slopes and Equations.notebook
December 02, 2016
Write an equation perpendicular
to y = 2x + 3, through (4, 3)
Back
Parallel and Perpendicular Slopes and Equations.notebook
December 02, 2016
Write an equation perpendicular
to y = x + 3, through (4, 3)
Back
Parallel and Perpendicular Slopes and Equations.notebook
December 02, 2016
Write an equation parallel to 2x - 4y = 1,
through the origin.
Back
Parallel and Perpendicular Slopes and Equations.notebook
December 02, 2016
What would be the perpendicular
slope to y = -2x + 1
Back
Parallel and Perpendicular Slopes and Equations.notebook
Write an equation parallel to
-2x + 5y = 0, through (10, 3)
Back
December 02, 2016
Parallel and Perpendicular Slopes and Equations.notebook
December 02, 2016
A. What is the parallel slope to the
equation?
y = 4x -1
B. What is the perpendicular slope to
the equation?
Back
Parallel and Perpendicular Slopes and Equations.notebook
HIT THE HAY
TRY AGAIN
BACK
December 02, 2016
Parallel and Perpendicular Slopes and Equations.notebook
Many thanks to the Smart Exchange.
This is a product of multiple lessons combined to make one.
December 02, 2016
Parallel and Perpendicular Slopes and Equations.notebook
December 02, 2016