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)Responsesd=(4−7)2+(2−6)2−−−−−−−−−−−−−−−√d is equal to square root of open paren 4 minus 7 close paren squared plus open paren 2 minus 6 close paren squared end rootd=(2−7)2+(4−6)2−−−−−−−−−−−−−−−√d is equal to square root of open paren 2 minus 7 close paren squared plus open paren 4 minus 6 close paren squared end rootd=(2−4)2+(6−7)2−−−−−−−−−−−−−−−√d is equal to square root of open paren 2 minus 4 close paren squared plus open paren 6 minus 7 close paren squared end rootd=(6−7)2+(2−4)2−−−−−−−−−−−−−−−√

Answer 1

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

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

Here \( L \) corresponds to \( (x_1, y_1) = (4, 2) \) and \( M \) corresponds to \( (x_2, y_2) = (7, 6) \). Therefore, we need to calculate:

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

Thus, we would write:

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

This matches the first option you provided:

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

So, the correct setup of the distance formula is:

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