Question 41324
2x + 3y = 6 is a straight line.
Let us find its intercept form.
2x + 3y = 6 can be written as 
{{{2x/6 + 3y/6 = 6/6 = 1}}} 
or {{{x/3 + y/2 = 1}}}


This means the length of intercept of this st line on the x and y axes are 3 and 2 respectively.
[The term in the denominator under x is the intercept on x axis and that under y is the intercept on y axis]
So the st. line cuts the coordinate axes at (3,0) and (0,2).
Hence the figure shown below can be drawn.
{{{graph(400,300,-5,10,-5,10,2 -(2/3)*x)}}}