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Do two lines that have slopes of 1 and -1 are perpendicular?
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Do Perpendicular lines have opposite reciprocal slopes?
Actually it IS. perpendicular lines have opposite reciprocal slopes and parallel lines have the same slope.
What are the slopes of perpendicular lines called?
Slopes of line perpendicular to the x-axis are undefined.
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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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
