Question

Find the area made by the line $2x+y=4$ and the co-ordinate axes.

Answer 1

Given the equation of the line is $2x+y=4$ which can be written as

$\frac{x}{2}+\frac{y}{4}=1$.

From this equation it is clear that the line has the intercepts $2$ and $4$ units from the co-ordinate axes.

Then the area formed by the line and the co-ordinate axes is

$=\frac{1}{2}\times 2\times 4$

$=4$ sq. units.