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Kianna Gislason

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3y ago
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13y ago

It isn't, precisely because the slope is undefined. For any other case (where both slopes are defined), the product of the slopes of two perpendicular lines is -1.

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Q: 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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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 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.


What is the product of the slopes when the x axis and y axis are perpendicular?

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.


Rectangle abcd lies in the xy-coordinate plane so that its sides are not parallel to the axes what is the product of the slopes of all four sides of rectangle abcd?

To find:The product of the slopes of all 4 sides of rectangle ABCDSolution:Topic(s): Coordinate geometryThe product of the slopes of perpendicular lines = -1.From the sketch above,Answer: (D) 1


Can the graph of a function have an undefined slope?

Yes and the straight line could be parallel to the x or y axes


The x-axis and y-axis are respectively the?

horizontal and vertical axes


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.


How do you figure the area of an ellipse?

πab, where a and b are the lengths of the semi-major and semi-minor axes, respectively. A=pi*a*b


Why is the condition of slopes for perpendicular lines not applicable for co-ordinate axes?

Because coordinate axes are a means of labeling and displaying mathematical objects, not mathematical objects themselves. Since they are labels, the terms "slope," "continuous," "smooth," etc. don't apply to them.


Which picture shows the correct graph of x equals 5?

The graph of x=5 is a vertical line on a set of coordinate axes that intercepts the x-axis at 5. Its slope is undefined.


What is the name of a line with an undefined slope?

It is normally a parallel line parallel to the x or y axes on the Cartesian plane.


What are axes most commonly used for?

Axes are most commonly used for chopping wood, such as for splitting logs or cutting firewood. They can also be used for other outdoor tasks like clearing brush or shaping wood. Additionally, certain axes are designed for specific purposes, such as felling trees or cutting down small saplings.