Slopes Of Perpendicular Lines Math
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Mathematically it is the change in y value compared to its change in x value.
Slopes of perpendicular lines math. If you multiply the slopes of two perpendicular lines in the plane you get 1. These lines are perpendicular and have negative reciprocal slopes. The slope of one line is the negative reciprocal of the slope of the other line. In this case the green line slope is 6 7 and the purple line slope is 7 6.
Parallel lines continue literally forever without touching assuming that these lines are on the same plane. This is the non obvious thing about the slopes of perpendicular lines put this together with the sign change and you get that the slope of a perpendicular line is the negative reciprocal of the slope of the original line and two lines with slopes that are negative reciprocals of each other are perpendicular to each other. Another way of saying negative reciprocal is flip and switch which means to take the slope of the first line flip the fraction and switch the sign positive to negative or vice versa. That is you take the one slope value and flip it upside down.
The slope of a line is its angle or steepness compared to that x axis value. The other opposite thing with perpendicular slopes is that their values are reciprocals. Perpendicular lines do not have the same steepness. The slope of y 3x 4 is 3.
This means you change the sign of the slope to its opposite. Parallel lines in greater depth on the other hand the slope of perpendicular lines are the negative reciprocals of each other and a pair of these lines intersects at 90 degrees. A perpendicular slope is the negative reciprocal of any other slope. All slopes are compared to some other line usually an x axis.
Therefore the slope of the perpendicular line is 1 3. In plane geometry all lines have slopes. The slope of the perpendicular line is the negative reciprocal. Then find the reciprocal by switching the denominator and numerator to get 1 3.
In this case to 3. The slopes of perpendicular lines are different from one another. 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.
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