Determine the distance between the points (−2, −3) and (2, 0).
a) 2 units
b) 4 units
c) 5 units
d) 10 units
To determine the distance between two points, we can use the distance formula:
√((x2 - x1)^2 + (y2 - y1)^2)
In this case, the coordinates of the first point are (-2, -3) and the coordinates of the second point are (2, 0).
Plugging these values into the formula, we get:
√((2 - (-2))^2 + (0 - (-3))^2)
= √(4^2 + 3^2)
= √(16 + 9)
= √25
= 5
Therefore, the distance between the points (-2, -3) and (2, 0) is 5 units.
The answer is c) 5 units.