draw the graph generated by equation x/3 + y/4 = 1. Ditermine the area of triangle broduced by drawn line and the cordinate axe .
So the coordinates of line are assume as A (0,4) and B (3,0 ) and graph is as below
we can see here that line AB intersect coordinates axes at A and B also AB is producing a Right angle triangle OAB (axes intersect each other perpendicularly )
using formula
Area of right angle triangle( OAB ) =1/2 (product of base and height )
=1/2 ( OB OA )
= 1/2 ( 3 4) , where OB =3 units and OA = 4 units
= 12 /2 = 6 square units.
Regards