Parallel Lines and Perpendicular Lines

Parallel Lines and Perpendicular Lines - Parallel Lines and...

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Unformatted text preview: Parallel Lines and Their Slopes In other words, the slopes of parallel lines are equal. Note that two lines are parallel if their slopes are equal and they have different y- intercepts. Perpendicular Lines and Their Slopes In other words, perpendicular slopes are negative reciprocals of each other. Here is a quick review of the slope/intercept form of a line. If you need more of a review on how to use this form, feel free to go to Tutorial 26: Equations of Lines. Slope/Intercept Equation of a Line If your linear equation is written in this form, m represents the slope and b represents the y-intercept. This form can be handy if you need to find the slope of a line given the equation. Example 1 : Find the slope of any line that is a) parallel and b) perpendicular to the line . Before we tackle finding the parallel and perpendicular slopes it really can help us out if we find the slope of the given line. Recall that when you are given the equation of a line that you can find the slope of it by writing it in the slope/intercept form , , where m is the slope and b is the y-intercept of the line. This equation is already written in the slope/intercept form: *Written in slope/intercept form Lining up the form with the equation we have been given, can you see what the slope is? If you said -7, you are correct!!! Slope of the parallel line: Since parallel lines have the same slope what do you think the slope of any parallel line to this line is going to be? Pat yourself on the back if you said -7. Slope of the perpendicular line: Since the slopes of perpendicular lines are negative reciprocals of each other, what do you think the slope of any perpendicular line to this line is? Give yourself a high five if you said 1/7. Remember that you take the reciprocal which is -1/7 and then you negate it to get the 1/7 for your perpendicular slope. The slope of any parallel line to the line is -7 and the slope of any perpendicular line to the line is 1/7. Example 2 : Find the slope of the line that is a) parallel and b) perpendicular to the line ....
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This note was uploaded on 02/18/2011 for the course MATH 101 taught by Professor Kindle during the Spring '11 term at South Texas College.

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Parallel Lines and Perpendicular Lines - Parallel Lines and...

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