Final answer:
The distance between the school A(-2,-4) and the store N(4, -7) is approximately 6.71 units.
Step-by-step explanation:
To find the distance between two points, we can use the distance formula:
d = √((x2-x1)^2 + (y2-y1)^2)
In this case, the coordinates of point A are (-2,-4) and the coordinates of point N are (4,-7).
Plugging in these values into the formula, we have:
d = √((4-(-2))^2 + (-7-(-4))^2)
d = √((4+2)^2 + (-7+4)^2)
d = √(6^2 + (-3)^2)
d = √(36 + 9)
d = √45
Therefore, the distance between the two points is approximately 6.71 units (rounded to two decimal places), which is closest to option b, 13 units.