Geom_Week 5_Lesson 3: Equations of Lines

Unit 3 - Equations of Parallel and

Perpendicular Lines

After doing this lesson, you should be able to:

• Use a formula to determine the slope of a line,

• Determine if 2 lines are parallel, perpendicular, or neither from their equations,

• Graph a line parallel to a given line through a point,

• Graph a line perpendicular to a given line through a point,

• Write an equation that is either parallel or perpendicular to a given line going through a given point.

Remember to go as slowly and repeat as many times as you need until you understand the lesson.

Vocabulary

Transversal: a line that intersects 2 (or more) other lines

Parallel lines: 2 or more coplanar lines with the same slope (meaning they never intersect),

Perpendicular lines: 2 coplanar lines with the slopes that are opposite

reciprocals of each other (meaning they intersect at a right
angle)

Right Angle: an angle formed by 2 lines that cross to create a 90° angle

Slope-Intercept form: y = mx + b where m = slope, b = y-intercept, x and y

are the coordinates of a point on the given line.

Watch Video - Take Notes

Remember:

PAUSE the video to write down notes

Adjust the SPEED of the video to best fit your learning style

REWIND and watch parts of the video over again, until you have
understanding of the content

Lesson 4
Equations of Parallel and Perpendicular Lines

Get your notes ready...the video is next:

Right click and "Open with Kami"
or Open link to print.

Note Sheet

Draw

Line l passes thru the points (0, 1) and (-2, -3). Construct a line through point P (5, 4) that is parallel to line l.

Draw

Line r passes through the points (0, 3) and (-3, 4).  Construct a line through point A (1, -1) that is perpendicular to line r.

Fill in the Blank

Write an equation of the line passing through point P that is parallel to the given line.

P (-1, 3),  $$y=4x-7$$

=

+

Fill in the Blank

1. Write an equation of the line passing through point R that is perpendicular to the given line.

R (6, 10),  $$y=-3x+13$$

=

(

/

)

+

Categorize

Options (4)

Determine if each pair of lines are parallel, perpendicular, or neither.

Parallel

Perpendicular

Neither

Still have questions?

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