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The worksheets found here will help you practice identifying parallel and perpendicular algebraic equations, and solving for their slopes. Students will also learn how to format these equations correctly, using the proper symbols.
- Perpendicular Lines
- Quick Check of Perpendicular
- Vertical Lines
- Summary
Two lines are perpendicular when they meet at a right angle (90°). To find a perpendicular slope: In other words the negative reciprocal
When we multiply a slope m by its perpendicular slope −1m we get simply −1. So to quickly check if two lines are perpendicular: Like this:
The previous methods work nicely except for a vertical line: In this case the gradient is undefined (as we cannot divide by 0): m = yA − yBxA − xB = 4 − 12 − 2 = 30= undefined So just rely on the fact that: 1. a vertical line is parallel to another vertical line. 2. a vertical line is perpendicular to a horizontal line (and vice versa).
parallel lines: sameslopeperpendicular lines: negative reciprocalslope (−1/m)- Slope
- −0.5
Apr 18, 2020 · This step-by-step guide will teach you how to graph parallel lines and perpendicular lines using slope! The guide includes several examples of how to find the slopes of parallel and perpendicular lines (and how to graph them).
- Line 1 passes through the points [latex]\left( {1,3} \right)[/latex] and [latex]\left( {4,9} \right)[/latex], while line 2 passes through [latex]\left( {2,5} \right)[/latex] and [latex]\left( { – \,2, – \,3} \right)[/latex].
- One line is passing through the points [latex]\left( { – \,7,0} \right)[/latex] and [latex]\left( { – \,1, – \,12} \right)[/latex]. Another line is passing through [latex]\left( { – \,1,1} \right)[/latex] and [latex]\left( { – \,15, – \,6} \right)[/latex].
- A line passes through the points [latex]\left( {4, – \,3} \right)[/latex] and [latex]\left( {0, – \,15} \right)[/latex]. Another line passes through [latex]\left( { – \,2, – \,8} \right)[/latex] and [latex]\left( {4, – \,10} \right)[/latex].
- The first line passes through points [latex]\left( {0, – \,2} \right)[/latex] and [latex]\left( {1,3} \right)[/latex] while a second line passes through [latex]\left( { – \,9,7} \right)[/latex] and [latex]\left( {1,9} \right)[/latex].
How to Find the Slope of Parallel and Perpendicular Lines. Finding equations of straight lines and curves is an important concept in coordinate geometry. The first step when finding the equation of a straight line is to find the slope of the line. The slope of the line is "rise over run" and measures the steepness of a straight line.
Demonstrates how to determine if slopes are for parallel lines, perpendicular lines, or neither. Explains why graphing is not generally helpful for this type of question.
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These Parallel and Perpendicular Lines Worksheets will give the slope of a line and ask the student to determine the slope for any line that is parallel and the slope that is perpendicular to the given line. These worksheets will produce 10 problems per page.
