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How would you find the distance between these two points?

(1 point)
Responses

Since the y-coordinates are the same, you would do 3 - 4 to get the distance.
Since the y-coordinates are the same, y ou would do 3 - 4 to get the distance.

Since the y-coordinates are the same, you would subtract 4 - 3 to get the distance.
Since the y-coordinates are the same, you would subtract 4 - 3 to get the distance.

Since the y-coordinates are the same, you would add -4 + 3 to get the distance.
Since the y-coordinates are the same, you would add -4 + 3 to get the distance.

Since the y-coordinates are the same, you would subtract -4 - 3 to get the distance and then take the absolute value since distance is positive.

1 answer

To find the distance between two points on a coordinate plane (particularly when the y-coordinates are the same), you can simply subtract the x-coordinates and take the absolute value of that difference.

Here's how it works:

If you have two points with the same y-coordinates, say (x1, y) and (x2, y), the distance \( d \) between these points is given by:

\[ d = |x2 - x1| \]

From your given responses, the correct approach would involve taking the absolute value of the difference between the x-coordinates, while noting that the y-coordinates being the same means the vertical distance is zero.

None of the provided options are correct regarding this concept, but if you were to calculate the distance correctly based on the correct method above, it would be:

  1. Identify the x-coordinates (let's say they are -4 and 3).
  2. Calculate the distance as \( |3 - (-4)| = |3 + 4| = 7 \).

To summarize, when y-coordinates are the same, you find the distance by focusing solely on the x-coordinates and taking the absolute value of their difference.