Answer: 14 square units
Explanation:
The area of a triangle given by coordinates is given by the formula:
Area = 1/2 * | x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2) |
Where (x1, y1), (x2, y2) and (x3, y3) are the coordinates of the vertices of the triangle.
Applying this formula to the given coordinates:
Area = 1/2 * | 4(-5 - 9) + -6(9 - -5) + 1(-5 - -5) | = 1/2 * | -56 + 84 + 0 | = 1/2 * | 28 | = 14 square units.