Question

Can you help me with steps and i only need help with #8

Answer 1

We have to find the slope for the lines AC and DB that are:

`\begin{gathered} ac=(-2-3)/(-1-4)=-(5)/(3) \\ bd=(3--2)/(2--7)=(5)/(9) \end{gathered}`

so we have that the equations are:

`\begin{gathered} 5x+3y=-11 \\ 5x-9y=-17 \end{gathered}`

having that we get that

`-12y=-6\rightarrow y=0.5\rightarrow5x+1.5=-11\rightarrow x=-(12.5)/(5)=-2.5`

so the answer is (-2.5,0.5)