Graph each inequality. The intersection of graphs forms a tetrahedral.
The coordinates (1, 9) (4, 3) and (1,
2) can be determinated from the graph.
To find the fourth vertex, solve the system of equations and
.
Adding the two equations and
.
Substitute in
then
The fourth vertex is .
Check:
\Compare the coordinates to the coordinates on the graph.
\The x- coordinate of the third vertex is at 7.
\The y- coordinate of the third vertex is at 4.
The vertices of a triangle are at .