Transcript Document 7935191
Lesson 6.6 Parallel and Perpendicular Lines Graph the equations: y = 3x y = 3x + 2 y = 3x – 4 How are these equations alike? How are they different?
What is the equation of a line parallel to the lines above but through the point (5,1)?
Check your results with the graphing calculator.
Parallel Lines
If two nonvertical lines have the same slope, then they are parallel. All vertical lines are parallel.
Example Write an equation in slope intercept form of the line that passes through the point (-3, 1) and is parallel to 3x – 2y = 7.
Check your results with the calculator.
Perpendicular Lines
Modeling Mathematics p. 365
Perpendicular Lines If the product of the slopes of two lines is -1, then the lines are perpendicular. In a plane, vertical lines and horizontal lines are perpendicular.
Example: Write the slope-intercept form of an equation that passes through (4, -1) and is perpendicular to the graph of 7x – 2y = 3.
Check your results with the calculator.