Answer:
The area of the triangle is:
![Area=8\, \,units^2](https://img.qammunity.org/2021/formulas/mathematics/high-school/379byndwx6h2q04j71bd2oz49bvzes7o0w.png)
Explanation:
Recall that the area of any triangle is defined as the product of the triangle's base times the triangle's height, divided by two:
![Area_(triangle)=(base\,*\,height)/(2)](https://img.qammunity.org/2021/formulas/mathematics/high-school/khsn297r3gtaj1yd1dl65f7opilzfryfe7.png)
therefore, in our case, notice that the length of the triangle's base is 4 units (from x = 0 to x = 4), and the triangle's height is also 4 units (from y = -5 to y = -1)
Then the triangle's area becomes:
![Area=(4base\,*\,4)/(2) =8\, \,units^2](https://img.qammunity.org/2021/formulas/mathematics/high-school/zft24bnnbzxypo0faqnpxg9l7jb954byar.png)