Final answer:
The area of the triangle is 28 square units.
Step-by-step explanation:
To find the area of the triangle, we can use the formula for the area of a triangle. We need to find the base and height of the triangle first. The base is the difference in x-coordinates of two points, which is 13 - 5 = 8. The height is the difference in y-coordinates of a point and the line formed by the base, which is -2 - (-9) = 7.
Next, we can plug the values into the formula: Area = (base * height) / 2. So the area is (8 * 7) / 2 = 28 square units.