Question

The coordinate plane shows the positions of different places in a town. Each unit on the graph is equal to 1 block. Match the paths with their
distances,
10 blocks
7 blocks
9 blocks
13 blocks 16 blocks
from home to the park
to the supermarket
from home to the baseball field
from school to the supermarket
from the park to the supermarket
to the baseball field

Answer 1

Home is located at the point (-5, 5)

The park is located at the point (-2, 3)

Apply the distance formula

$d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-5-(-2))^2 + (5-3)^2}\\\\d = \sqrt{(-5+2)^2 + (5-3)^2}\\\\d = \sqrt{(-3)^2 + (2)^2}\\\\d = \sqrt{9 + 4}\\\\d = \sqrt{13}\\\\d \approx 3.6055513$

When rounding to the nearest whole number, we get 4. This is the approximate distance (in blocks) from home to the park. I'm not sure why "4 blocks" isn't listed as a possible distance, so there may be a typo somewhere.

You'll apply this idea to the other pairs of points to find the other distances.