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- When two lines (or two sides of a polygon) are parallel, their slopes will be equal. When two lines (or two diagonals of a polygon) are perpendicular, their slopes will be opposite reciprocals of each other.
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Find the equation of the line that is: parallel to y = 2x + 1; and passes though the point (5,4) The slope of y = 2x + 1 is 2. The parallel line needs to have the same slope of 2. We can solve it by using the "point-slope" equation of a line: y − y 1 = 2(x − x 1) And then put in the point (5,4): y − 4 = 2(x − 5) That is an answer!
- Slope
- −0.5
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.
- 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].
Join us on this math lesson where you will learn how to find the slopes of parallel and perpendicular lines and equations, parallel slope, perpendicular slop...
- 5 min
- 181K
- Mashup Math
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).
Aug 24, 2022 · Parallel lines have the same slope; Perpendicular lines have negative reciprocal slopes; How to find an equation of a line parallel to a given line. Find the slope of the given line. Find the slope of the parallel line. Identify the point. Substitute the values into the point-slope form: \(y−y_1=m(x−x_1)\). Write the equation in slope ...
Parallel lines have the same slope. Perpendicular lines have slopes that are opposite reciprocals. In other words, if \(m=\frac{a}{b}\), then \(m_{⊥}=−\frac{b}{a}\). To find an equation of a line, first use the given information to determine the slope. Then use the slope and a point on the line to find the equation using point-slope form.
