Question

Point E(−5, 3) and point D(−4, −3) are located on the grid. Which measurement is closest to the distance between point E and point D in units?

Answer 1

Using the distance formula, we can find the distance between two points on the grid:

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

Let's substitute the values of point E and point D into the formula:

d = sqrt(((-4) - (-5))^2 + ((-3) - 3)^2)
= sqrt((1)^2 + (-6)^2)
= sqrt(1 + 36)
= sqrt(37)

The closest measurement to the distance between point E and point D is sqrt(37) or approximately 6.08 units.