Answer:
The distance between the two points is 15 units.
Explanation:
I like to find the horizontal distance between the points and then the vertical distance, and then construct a triangle with these two lengths, and finally apply the Pythagorean Theorem to find the length of the diagonal of this triangle. This is also the distance between the two points.
Moving from (4,-9) to (-5,3) involves a horizontal change (decrease) of 9 units, as well as a vertical change of 12 units.
Applying the Pythagorean Theorem, we get:
distance = √(9² + 12²) = √(81 + 144) = √225 = 15
The distance between the two points is 15 units.