Vertical Dist. Origin to (8,1): 8 units

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In summary, the vertical distance from the origin to the point (8,1) is 1, based on the given coordinate system and the definition of "vertical" in a two dimensional sense.
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flolisa
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what is the vertical distance from the origin to the point (8,1)
 
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vertical distance between two points = $|\Delta y|$
 
  • #3
flolisa said:
what is the vertical distance from the origin to the point (8,1)
How are you DEFINING "vertical" in two dimensions? "Vertical" is a three dimensional notion depending on the direction of gravity. It might make sense to define "vertical", in a two dimensional sense, in the direction of the y-axis in an xy-coordinate system (but that is, of course, completely arbitrary). Here, since you specified both the origin and the point (8, 1) we are given a coordinate system and can say that the "vertical distance" is 1.
 

1. What is the meaning of "Vertical Dist. Origin to (8,1): 8 units"?

The phrase "Vertical Dist. Origin to (8,1): 8 units" refers to the vertical distance between the origin (0,0) and the point (8,1) on a graph. It is 8 units in length and is measured along the y-axis.

2. How is the vertical distance calculated?

The vertical distance is calculated by subtracting the y-coordinate of the origin from the y-coordinate of the given point. In this case, it would be 1 - 0 = 1. Therefore, the vertical distance is 1 unit.

3. What does the number 8 represent in this phrase?

The number 8 represents the x-coordinate of the given point (8,1). This means that the vertical distance is measured from the origin to a point that is 8 units to the right on the x-axis.

4. How is the vertical distance represented on a graph?

The vertical distance is typically represented by a line segment drawn from the origin to the given point on the graph. The length of the line segment corresponds to the vertical distance and is measured in units.

5. Can the vertical distance be negative?

Yes, the vertical distance can be negative if the given point is below the origin on the graph. In this case, the vertical distance would be measured downwards along the y-axis and would have a negative value.

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