DaQuan marks two points on the coordinate plane. One point is L(4,2) and the other point is M(7,6)

Question

. What is the correct way for DaQuan to set up the distance formula?(1 point)
Responses

d=(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 root

d=(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 root

d=(6−7)2+(2−4)2−−−−−−−−−−−−−−−√
d 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

d=(2−4)2+(6−7)2−−−−−−−−−−−−−−−√

Answer 1

To set up the distance formula between the points L(4,2) and M(7,6), we need to use the correct coordinates for the formula, which is:

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

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

For points L(4,2) and M(7,6):

• \( x_1 = 4 \), \( y_1 = 2 \)
• \( x_2 = 7 \), \( y_2 = 6 \)

Substituting these values into the distance formula gives:

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

This can be rewritten as:

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

Therefore, the correct response from your options is:

d=(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 root