The image shows a horizontal line segment plotted on a Cartesian coordinate plane.

Question

The image is a graph showing a Cartesian coordinate plane with a horizontal line segment. The x-axis ranges from -10 to 10, and the y-axis ranges from -1 to 10. The line segment is positioned at y = 4 and extends from the point (-4, 4) to the point (3, 4). The points (-4, 4) and (3, 4) are clearly marked with filled-in circles. The grid lines are evenly spaced, creating a clear and easily interpretable graph. The overall atmosphere is neutral and objective, typical of a mathematical representation. There is no emotional content; the image is purely functional.

How would you find the distance between these two points?

(1 point)
Responses

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 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 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.

Answer 1

To find the distance between the two points (-4, 4) and (3, 4) on the horizontal line segment, you should focus on the x-coordinates, as the y-coordinates are the same (y = 4).

The distance between two points on a horizontal line can be calculated using the formula:

\[ \text{Distance} = |x_2 - x_1| \]

In this case, the x-coordinates are -4 and 3. So you would calculate:

\[ \text{Distance} = |3 - (-4)| = |3 + 4| = |7| = 7 \]

Thus, the correct interpretation of how to find the distance would be:

"Since the y-coordinates are the same, you would subtract -4 from 3 (which means you add them) to get the distance. The result is 7."