The line 3x+2y=6 will divide the quadrilateral formed by the lines #x+y=5 , y-2x=8 , 3y+2x=0 , 4y-x=0# in?
Ans : Two Quadrilaterals
Ans : Two Quadrilaterals
1 Answer
Graphing it, we see the line divides the quadrilateral into two quadrilaterals.
Explanation:
Wolfram Alpha is always good for a picture. I drew on this one. There's actually a fair amount of calculating to verify that the line intersects at the sides, and not the vertices.
Let's find the vertices.
Side
Let's find the meets with
Since
For completeness,