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Two numbers are if their product is -1?
Two numbers are negative reciprocals if their product is -1. The numbers 1/2 and -2 are negative reciprocals. Their product is -1. This is often seen in problems involving the slopes of two lines. The slopes of perpendicular lines are negative reciprocals. Their product is -1.
Why product of slopes of perpendicular lines is -1?
Because one slope is positive while the other slope is a negative reciprocal of it. For example: 2*-1/2 = -1
Y equals 5-2x and 2y plus x equals 1 are the lines perpendicular?
Solve both equations for y in terms of x: y = (-2)x+5 y = (-1/2)x+1/2 Multiply the slopes together: (-2) X (-1/2) = 1 In order for the lines to be perpendicular, the product of the slopes would have had to equal -1, but it equals 1, so they're not perpendicular.
For perpendicular lines if the slope of one line is -2 what is the slope of the line perpendicular to it?
For any two perpendicular lines (save a vertical and a horizontal one), the product of their slopes is always -1. For two perpendicular lines with one having a slope of -2, the other will have a slope equal to -1 divided by -2, which equals 1/2.
Can 2 parallel lines have different slopes?
No
Do two lines that have slopes of 1 and -1 are perpendicular?
2
Two numbers are if their product is -1?
Two numbers are negative reciprocals if their product is -1. The numbers 1/2 and -2 are negative reciprocals. Their product is -1. This is often seen in problems involving the slopes of two lines. The slopes of perpendicular lines are negative reciprocals. Their product is -1.
How do slopes of perpendicular lines compare?
Slopes of perpendicular lines will be opposite reciprocals. This means that the slopes have opposite signs and that one is 1/ the other. For example, 2 and -1/2.
If two lines are perpendicular what is the product of their respective slopes equal to?
The sum of their slopes is 0. The product of two lines that are perpendicular with slopes m and -m i= -m^2 Hmmmm... Seems we're both wrong again. The answer is -1. See the link I attached.
Why product of slopes of perpendicular lines is -1?
Because one slope is positive while the other slope is a negative reciprocal of it. For example: 2*-1/2 = -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
How do you determine if 2 lines are parallel perpendicular or neither?
Two lines are parallel if and only if they have the same slope. Two lines are perpendicular if the product of their slopes is -1. If neither of these conditions are met, the lines are nether parallel, or perpendicular.
Y equals 5-2x and 2y plus x equals 1 are the lines perpendicular?
Solve both equations for y in terms of x: y = (-2)x+5 y = (-1/2)x+1/2 Multiply the slopes together: (-2) X (-1/2) = 1 In order for the lines to be perpendicular, the product of the slopes would have had to equal -1, but it equals 1, so they're not perpendicular.
What must be true about the slopes of 2 perpendicular lines?
The slopes of two perpendicular lines are negative inverses of each other. In other words, the two slopes when multiplied together equal -1.
For perpendicular lines if the slope of one line is -2 what is the slope of the line perpendicular to it?
For any two perpendicular lines (save a vertical and a horizontal one), the product of their slopes is always -1. For two perpendicular lines with one having a slope of -2, the other will have a slope equal to -1 divided by -2, which equals 1/2.
Can 2 parallel lines have different slopes?
No
What can you say about the slopes of two non-vertical perpendicular lines?
They are negative reciprocals Ex -1/2 and 2
