Question

DaQuan marks two points on the coordinate plane. One point is L(4,2) and the other point is M(7,6)%0D%0A𝑀%0D%0A(%0D%0A7%0D%0A,%0D%0A6%0D%0A)%0D%0A. What is the correct way for DaQuan to set up the distance formula?(1 point)%0D%0AResponses%0D%0A%0D%0Ad=(6−7)2+(2−4)2−−−−−−−−−−−−−−−√%0D%0Ad is equal to square root of open paren 6 minus 7 close paren squared plus open paren 2 minus 4 close paren squared end root%0D%0A%0D%0Ad=(4−7)2+(2−6)2−−−−−−−−−−−−−−−√%0D%0Ad is equal to square root of open paren 4 minus 7 close paren squared plus open paren 2 minus 6 close paren squared end root%0D%0A%0D%0Ad=(2−7)2+(4−6)2−−−−−−−−−−−−−−−√%0D%0Ad is equal to square root of open paren 2 minus 7 close paren squared plus open paren 4 minus 6 close paren squared end root%0D%0A%0D%0Ad=(2−4)2+(6−7)2−−−−−−−−−−−−−−−√

Answer 1

To set up the distance formula between two points \( L(4,2) \) and \( M(7,6) \), we use the distance formula:

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

In this case, we identify the coordinates as follows:
- \( L = (x_1, y_1) = (4, 2) \)
- \( M = (x_2, y_2) = (7, 6) \)

Substituting these values into the distance formula gives:

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

Thus, the correct setup for the distance formula is:

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

Looking at your provided options, the option that correctly sets up the distance formula is:

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

This indicates that none of the options you presented exactly match the correctly set up distance formula. However, if there's a typo or misalignment in the options you've shared, please confirm them or explore the option that resembles the logic shown above.