How would you find the distance between these two points?

Question

(1 point)
Responses

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

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 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.

Answer 1

To find the distance between two points where the y-coordinates are the same, you only need to consider the difference in the x-coordinates. Assuming the points are given as (x1, -4) and (x2, -4), the distance formula simplifies to:

\[ \text{Distance} = |x2 - x1| \]

The correct approach to determine the distance is to subtract the x-coordinates and take the absolute value, which results in a positive distance.

In this context, the best response from your provided options would be the one that mentions subtracting the x-coordinates (even though some of the wordings seem to confuse y-coordinates). The key part is referencing the correct operation (subtraction) for the x-coordinates while maintaining that the y-coordinates are the same.

However, the specific statement that says to subtract 4 - 3 to get the distance is incorrect in terms of clarification, as it does not correctly identify the x-coordinates.

To summarize: The distance calculation is based on \( |x2 - x1| \), and it is essential to identify the x-coordinates when the y-coordinates are the same.