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