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The product of the slopes of perpendicular lines is always?
-1
Two lines that are perpendicular to each other?
Perpendicular lines have slopes that the inverse of each other. If one line has a slope of 1/3, the other has a slop of 3/1
How can you determine if the given lines are perpendicular?
Two lines are perpendicular if the product of their slopes is -1. A straight line with an equation in the form: y = mx + c has slope m and y-intercept c. Given two lines y = mx +c and y = nx + d they are perpendicular if mn = -1. Examples: 1) are the two lines y = 2x and 2y = x + 2 perpendicular? y = 2x 2y = x + 2 → y = 1/2 x + 1 → product of slopes = 2 x 1/2 = 1 → the lines are not perpendicular 2) are the two lines y + 2x = 5 and 2y = x + 2 perpendicular? y + 2x = 5→ y = -2x + 5 2y = x + 2 → y = 1/2 x + 1 → product of slopes = -2 x 1/2 = -1 → the lines are perpendicular
What can you say about the slopes of two non-vertical perpendicular lines?
They are negative reciprocals Ex -1/2 and 2
As slopes of x and y axes are 0 and undefined respectively why the product of slopes of x and y axes is -1?
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