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Lesson 2-2-3. -Determine if lines are parallel, perpendicular, or neither. Parallel/Perpendicular. Comparing slopes of lines can help determine if two lines are parallel, perpendicular , or neither . Two lines are parallel if they have the same slopes (and different y-intercepts)

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lesson 2 2 3

Lesson 2-2-3

-Determine if lines are parallel, perpendicular, or neither

parallel perpendicular
Parallel/Perpendicular

Comparing slopes of lines can help determine if two lines are parallel, perpendicular, or neither.

Two lines are parallelif

they have the same slopes(and different y-intercepts)

Two lines are perpendicular if

their slopes are opposite reciprocals

examples
Examples:

Determine if the lines are parallel, perpendicular, or neither.

1) and 4x – y = -1

examples1
Examples:

Determine if the lines are parallel, perpendicular, or neither.

2) the line passing through (1, 6) and (8, -1) and x + y = 2

examples2
Examples:

3) Write an equation in Slope-Intercept form of the line passing through the point (5, -3) and perpendicular to the line y = 4x + 1

examples3
Examples:

4) Write an equation in standard form of the line passing through (2, 1) and parallel to the line

wrap up
Wrap-Up:

How can you use the equations of two non-vertical lines to tell whether the lines are parallel or perpendicular?

Find the slopes and compare:

--Same slope – parallel

--Opposite reciprocal slopes - perpendicular

assignment
Assignment:

Practice 6-5 worksheet