Answer:
8
Step-by-step explanation:
There are several ways of doing that, but probably the simplest one is to use the formula
[tex]\bf Area=\left| \frac{A_x(B_y-C_y)+B_x(A_y-C_y)+C_x(A_y-B_y)}{2}\right|[/tex]
where the vertices are
[tex]\bf (A_x,A_y),(B_x,B_y),(C_x,C_y)[/tex]
and the bars | | means that you take the positive value of the number inside. For example | -3 | = 3.
Our vertices are
[tex]\bf (A_x,A_y)=(-4,1)[/tex]
[tex]\bf (B_x,B_y)=(-7,5)[/tex]
[tex]\bf (C_x,C_y)=(0,1)[/tex]
Replace the values in the formula and we have
[tex]\bf Area=\left| \frac{-4(5-1)-7(1-1)+0(1-5)}{2}\right|=\left| \frac{-4(4)}{2}\right|=\left| \frac{-16}{2}\right|=|-8|=8[/tex]
