Answer:
a) view the graph
b) p = (0,9)
Step-by-step explanation:
Data
r (6,-1); s (1-4); t (-5,6)
To prove that r, s, t form a right triangle we must find the their slopes to later verify if m1 * m2 = -1
[tex]m_{rs}=\frac{-4+1}{1-6}=\frac{-3}{-5}=\frac{3}{5}\\m_{st}=\frac{6+4}{-5-1}=\frac{10}{-6}=\frac{5}{3}\\[/tex]
we have that [tex]m_{rs}*m_{st}=\frac{3}{5}*\frac{-5}{3}=-1[/tex]
now we must find the coordinates of p such that the rstp quadrilateral form a rectangle
.
p = r-s+t ⇒ (6,-1)-(1,-4)+(-5,6) = (6-1-5,-1+4+6) ⇒
p = (0,9)
