Answer: 21 square units
Explanation:
The area formula for a triangle is (1/2)(base)(height), we can apply this formula easily if we look at the triangle sideways so that the points (-4,4) and (-4,3) make the base of the triangle.
So the base is base is |4|+|-3|=7 units long
We can now solve for the height using the x-value of (2,2) and the x-values of our other points (-4):
|-4|+|2|=6 units long
(Note: Absolute value bars are used here because we can't have a negatively long side length)
Now we plug these numbers into our equation:
(1/2)(7)(6)=21