To find the distance between two points in a 2D space, you can use the distance formula. If the points are given as \((x_1, y_1)\) and \((x_2, y_2)\), the distance \(d\) between them is calculated using the formula:
\[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \]
If the y-coordinates of the two points are the same, the distance simplifies to calculating just the difference in the x-coordinates.
However, it seems that all options presented focus on differences or summation of the y-coordinates. If the y-coordinates are the same, say \(y_1 = y_2\), the distance is purely dependent on the x-coordinates. Hence, if the points were for example \((x_1, 4)\) and \((x_2, 4)\), you would take the absolute value of \(x_2 - x_1\).
Among the options provided, the most accurate way to express finding distance (considering y-coordinates are equal) would be:
"Since the y-coordinates are the same, you would subtract \(x_2 - x_1\) (taking absolute value if necessary) to get the distance."
However, among the given options, the one indicating the distance using the absolute value mechanism for the subtraction of y-coordinates would be the closest approach:
"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."
Just note that this is not the typical way to calculate distance when y-coordinates are the same; the focus here should be on the x-coordinates.