Respuesta :

Answer:

The area of the triangle is:

[tex]Area=8\, \,units^2[/tex]

Step-by-step 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:

[tex]Area_{triangle}=\frac{base\,*\,height}{2}[/tex]

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:

[tex]Area=\frac{4base\,*\,4}{2} =8\, \,units^2[/tex]