Question

Which of the following best represents the distance, in units, between the points (-1, -4) and (4, 8) on the coordinate grid?

A. 13
B. 15
C. 17
D. 19

Answer 1

The distance between the points (-1, -4) and (4, 8) on the coordinate grid is 13 units.

Step-by-step explanation:

The distance between two points in a coordinate grid can be found using the distance formula: d = √((x2 - x1)^2 + (y2 - y1)^2)

In this case, the coordinates of the first point are (-1, -4) and the coordinates of the second point are (4, 8).

Substituting these values into the distance formula, we get: d = √((4 - (-1))^2 + (8 - (-4))^2) = √(5^2 + 12^2) = √(25 + 144) = √169 = 13

Therefore, the distance between the points (-1, -4) and (4, 8) on the coordinate grid is 13 units.