Question

DaQuan marks two points on the coordinate plane. One point is L (4, 2) and the other point is M (7,6). What is the correct way for DaQuan to set up the distance formula? (1 point)
Od (2-7)2+(4-6)2
Od=(4-7)2+(2-6)2
O d=(2-4)2+(6-7)2
Od (6-7)2+(2-4)2
Item 1
Item 2
Item 3
Item 4
Item

Answer 1

To set up the distance formula to find the distance between the points L (4, 2) and M (7, 6), DaQuan should use the formula:

\[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \]

Where (x_1, y_1) are the coordinates of point L and (x_2, y_2) are the coordinates of point M.

Here, the coordinates are:
- Point L: (4, 2) → \( x_1 = 4, y_1 = 2 \)
- Point M: (7, 6) → \( x_2 = 7, y_2 = 6 \)

Now, we substitute these values into the formula:

\[
d = \sqrt{(7 - 4)^2 + (6 - 2)^2}
\]

Calculating inside the square root:

\[
d = \sqrt{(3)^2 + (4)^2} = \sqrt{9 + 16} = \sqrt{25} = 5
\]

Thus, the correct way for DaQuan to set up the distance formula is:

\[ d = (7 - 4)^2 + (6 - 2)^2 \]

This corresponds to the option:

**O d = (4-7)² + (2-6)²**

However, to clarify, both setups are equivalent because \( (x_2 - x_1) \) or \( (x_1 - x_2) \) will yield the same squared difference.

Therefore, the best option provided that correctly aligns with the standard distance setup is:

**O d = (4-7)² + (2-6)² (which is option 2).**