We can use the distance formula to find the distance between two points in a coordinate plane:
d = √[(x2 - x1)² + (y2 - y1)²]
where (x1, y1) and (x2, y2) are the coordinates of the two points, and d is the distance between them.
Using the given coordinates of the two points, we have:
x1 = -2, y1 = 7
x2 = -5, y2 = 9
Substituting these values into the distance formula, we get:
d = √[(-5 - (-2))² + (9 - 7)²]
d = √[(-3)² + 2²]
d = √(9 + 4)
d = √13
Therefore, the distance between the points (-2, 7) and (-5, 9) is approximately √13 units. We can also approximate this value as 3.61 units (rounded to two decimal places).