Question

Draw the graph of the linear equation 4x+y=6 . At what points the graph of the equation cuts the x-axis and the y-axis ? Find area bounded by this line and coordinate axes.

Answer 1

Given that,

$4x+y=6$

$y=6-4x$

$or\left(\Delta AOB\right)=\frac{1}{2}\times b\times h$

$=\frac{1}{2}\times \frac{3}{2}\times 6$

$=\frac{18}{4}$

$=\frac{9}{2}$ sq units.