Question

Draw the graph of the equation $2x+3y=12$ At what point does the graph of the equation cuts the $x$ axis and $y$ axis?

Answer 1

Modify the equation $2x+3y=12$ as follows in order to get the form of equation of straight line $y=mx+c;wherem=slope\&cisinterceptofyaxis$:

$y=(12-2x)/3$
For $x=0,y=4$, therefore, $(0,4)$ lies on the graph. Similarly, for $y=0.x=6$ therefore, $(6,0)$ lies on the graph.

Now plot the points A$(0,4)$ and B $(6,0)$ and join them as shown in the figure below, to get the line AB.

Hence, from the figure, you can see that the graph (line AB) cuts the x-axis at the point $(6,0)$and the y-axis at the point $(0,4)$.