Answer: 27
Step-by-step explanation
The distance from (-2,6) to (-2,0) is 6 units. Count out the spaces or subtract the y coordinates to calculate this distance. This is the base of the triangle (imagine rotating it 90 degrees).
The horizontal distance from (-2,0) to (7,-5) is 9 units. This time we subtract x coordinates. Use absolute value to make sure the result isn't negative. This value represents the height of the triangle.
Then,
area = 0.5*base*height
area = 0.5*6*9
area = 27