Ask a New Question
Menu

The image shows a horizontal line segment graphed on a coordinate plane.

The image displays a Cartesian coordinate system with a grid of evenly spaced points. The x-axis ranges from -10 to 10, and the y-axis ranges from -1 to 10. Two points are plotted and labeled: (-4, 4) and (3, 4). A horizontal line segment connects these two points, indicating a line parallel to the x-axis at y=4. The overall atmosphere is neutral and purely mathematical, representing a simple graphical representation of a line segment. There are no colors or other visual elements beyond the grid and the line segment.

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 the two points \((-4, 4)\) and \((3, 4)\), you can follow these steps:

  1. Since the y-coordinates are the same (both are 4), the distance between the points only depends on the x-coordinates.
  2. You would subtract the x-coordinates: \(3 - (-4)\).

Calculating this gives: \[ 3 - (-4) = 3 + 4 = 7 \]

The correct approach is that since the y-coordinates are the same, you would subtract the x-coordinates to find the distance between them, and since distance is always positive, you would take the absolute value. However, in this case, both x-coordinates are such that \(3\) is greater than \(-4\), so there is no need for the absolute value.

Thus, the distance between the two points is \(7\).

The correct option among the provided responses is not explicitly present, but it should clarify that you would subtract the x-coordinates (taking care in the operation) to get the distance directly, since the y-values being the same indicates a horizontal line.