Question

Draw a graph of the line $x-2y=3$. From the graph, find the coordinates of the point when
i) $x=-5$
ii) $y=0$

Answer 1

$x-2y=3$

When $x=0,y=-\frac{3}{2}$

$y=0,x=3$

(i) When $x=5,5-2y=3$

$\Rightarrow 2y=2$

$\Rightarrow y=1$

$\therefore$ The coordinate is $(5,1)$.

(ii) When $y=0,x-0=3$

$\Rightarrow x=3$

$\therefore$ Coordinate is $(3,0)$.