Question

Solve each of the following given systems of equations graphically and find the vertices and area of the triangle formed by these lines and the y-axis:

$2x-3y+6=0,2x+3y-18=0.$

Answer 1

The vertices are (-3,0),(9,0),(3,4)

$Area=\frac{1}{2}bh$

b = 12 units

h = 4 units

$Area=\frac{1}{2}bh=\frac{1}{2}\times 12\times 4=24sq.units$