Question

Find the midpoint of the segment made by the line $2x+y=4$, $x-$ axis and $y-$ axis.

Answer 1

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

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

From this equation it is clear that the line cuts the co-ordinate axes at $(2,0)$ and at $(0,4)$.

The end points of the segment are $(2,0)$ and $(0,4)$. So the mid-point of the line is $(\frac{2+0}{2},\frac{0+4}{2})=(1,2)$.