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What is the product of the slopes when the x axis and y axis are perpendicular?
Wiki User
∙ 9y ago
The slope of the x-axis is 0 and the y-axis does not have a slope.
For all pairs of perpendicular lines, other than those parallel to the axes, the product of their slopes is -1.
Wiki User
∙ 9y ago
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What is the product of slope of x and y axes?
The slope of the x-axis is zero.The slope of the y-axis is "undefined" or "infinity". Whichever term you use, it's nota number that can participate in ordinary arithmetic operations. So the product ofthe slopes can't be calculated.For any other two perpendicular lines, the product of their slopes is -1 .
Why is the slopes of product x and y axis is -1?
It is not, because the slope of the y-axis is not defined.
Can a vertical line be perpendicular to the x-axis?
Yes because the y axis is perpendicular to the x axis at the origin which is (0, 0)
When a point lies on the y-axis what do you know about it's x-coordinate .?
The x-coordinate of any point on the y-axis is 0. The y-axis is a line perpendicular to the x-axis. Any point on a line perpendicular to the x-axis has the same x-coordinate. The y-axis is the line perpendicular to the x-axis through 0, and has the equation x = 0; similarly, the x-axis is the line perpendicular to the y-axis through 0 and has the equation y = 0.
Given a line with a slope of -1 over 5 what is the slope of any line that lies perpendicular to it?
If they are perpendicular, the product of their slopes should be -1 -1*X = -1 X = 1 The other line has slope 1
What are the slopes of perpendicular lines called?
Slopes of line perpendicular to the x-axis are undefined.
Why the product of slopes of x and y axis is -1?
The only way you can say that is from the general rule that perpendicular lines have negative reciprocal slopes. You certainly can't demonstrate it from the slopes of the axes themselves, because the slope of the x-axis is zero, and the slope of the y-axis is either infinite or else undefined, whichever term bothers you less.
Why the slope of x-axis and y-axis is not equal to -1 whereas slope of two perpendicular line is -1?
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What is the product of slope of x and y axes?
The slope of the x-axis is zero.The slope of the y-axis is "undefined" or "infinity". Whichever term you use, it's nota number that can participate in ordinary arithmetic operations. So the product ofthe slopes can't be calculated.For any other two perpendicular lines, the product of their slopes is -1 .
Why is the slopes of product x and y axis is -1?
It is not, because the slope of the y-axis is not defined.
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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Why is product of slopes of x axis and y axis not equal to one?
We know that the slope of a line is (Changes in y)/(Changes in x). Does the y-axes has changes in y? No. This means that y-axis does not have a slope. The same thing is for x-axis.
Can a vertical line be perpendicular to the x-axis?
Yes because the y axis is perpendicular to the x axis at the origin which is (0, 0)
When a point lies on the y-axis what do you know about it's x-coordinate .?
The x-coordinate of any point on the y-axis is 0. The y-axis is a line perpendicular to the x-axis. Any point on a line perpendicular to the x-axis has the same x-coordinate. The y-axis is the line perpendicular to the x-axis through 0, and has the equation x = 0; similarly, the x-axis is the line perpendicular to the y-axis through 0 and has the equation y = 0.
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
Given a line with a slope of -1 over 5 what is the slope of any line that lies perpendicular to it?
If they are perpendicular, the product of their slopes should be -1 -1*X = -1 X = 1 The other line has slope 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.
