Question

Draw the graph of the equation given below. Also find the coordinates of the points where the graph cuts the coordinate axes:

$6x-3y=12$

Answer 1

Given equation:$6x-3y=12$

$3(2x-y)=12$

$2x-y=4$

$y=2x-4$

When $x=1\Rightarrow y=2\left(1\right)-4\Rightarrow y=-2$

When $y=2\Rightarrow 2=2x-4\Rightarrow x=\frac{6}{2}\Rightarrow x=3$

Graph:
Mark points $(1,-2)\text{and}(3,2)$ on the graph and join them

$\therefore$ The graph of the given equation is as follow:







From the graph, we observe the coordinate of the points where the graphs cuts the coordinate axes as $(2,0)\text{and}(0,-4)$