Question

Draw the graphs of the equations $5x-y=5$ and $3x-y=3.$ Determine the coordinates of the vertices of the triangle formed by these lines and $y$-axis. Calculate the area of the triangle so formed.

Answer 1

$5x-y=5$

$3x-y=3$

plotting the graph$:$ $5x-y=5$

$x$	$1$	$2$	$0$
$y$	$0$	$5$	$-5$

plotting graph $:$ $3x-y=3$

$x$	$1$	$2$	$0$
$y$	$0$	$3$	$-3$

The area of the triangle $=\frac{1}{2}\times$ base$\times$ height

Base$=-3-(-5)=2$

Height$=1alongxaxis$

Area$=\frac{1}{2}\times 2\times 1=\frac{2}{2}=1$ units$.$