Question

Point A(2, 2) and point D(−4, −3) are located on the grid. Which measurement is closest to the distance between point A and point D in units? A) 7.5 units B) 7.8 units C) 8.1 units D) 8.4 units

Answer 1

Answer:

B) 7.8 units

Step-by-step explanation:

To find the distance between 2 points

d = sqrt ( (x2-x1)^2 + (y2-y1)^2)

  =sqrt( -4-2)^2 + (-3-2)^2)

  = sqrt((-6)^2+(-5)^2)

  = sqrt(36+26)

  = sqrt(61)

   =7.810249676

Answer 2

Answer:

B

Step-by-step explanation:

The distance formula is $D=\sqrt{(y_2-y_1)^{2}+(x_2-x_1)^{2}}$

Where $(x_1,y_1)$ is the first coordinate (our case, point A(2,2)) &  $(x_2,y_2)$ is the second coordinate (our case, point D(-4,-3))

Plugging these in into the formula gives us:

$D=\sqrt{(y_2-y_1)^{2}+(x_2-x_1)^{2}} \\D=\sqrt{(-3-2)^{2}+(-4-2))^{2}} \\D=\sqrt{(-5)^{2}+(-6)^{2}}\\ D=\sqrt{25+36} \\D=\sqrt{61} \\D=7.81$

Answer choice B is closest.