Question 937944
{{{-2x-6y+18=0}}}<--->{{{18=2x+6y}}}
For {{{x=0}}} , we get
{{{18=2*0+6y}}} --> {{{6y=18}}} --> {{{y=18/6}}} --> {{{highlight(y=3)}}}
For {{{y=0}}} , we get
{{{18=2x+6*0}}} --> {{{2x=18}}} --> {{{x=18/2}}} --> {{{highlight(x=9)}}}
That means that the x- and y-intercepts are points {{{A(9,0)}}} and {{{B(0,3)}}} .
Plotting those two points, and connecting them with a line,
you get to "sketch the straight line ... by finding x-and-y intercepts."
{{{drawing(400,300,-1,11,-1,8,
grid(1),green(circle(0,3,0.2)),
green(circle(9,0,0.2)),
green(line(-3,4,12,-1)),
locate(0.1,3.7,green(B)),locate(9.1,0.7,green(A))
)}}}