Question 471810
Substitute 0 for x to find the y-coordinate of the y-intercept:

  3x - 4y = -12
3(0) - 4y = -12
      -4y = -12
      {{{(-4y)/(-4) = (-12)/(-4)}}}
        y = 3

So the y-intercept is (0,3)

Plot that point on the y axis:

{{{drawing(400,400,-10,10,-10,10,
graph(400,400,-10,10,-10,10), circle(0,3,.2) )}}}

Now substitute 0 for y to find the x-coordinate of the x-intercept:

  3x - 4y = -12
3x - 4(0) = -12
       3x = -12
      {{{(3x)/3 = (-12)/3}}}
        x = -4

So the x-intercept is (-4,0)

Plot that point on the x axis:

{{{drawing(400,400,-10,10,-10,10,
graph(400,400,-10,10,-10,10), circle(0,3,.2), circle(-4,0,.2) )}}}

Get a ruler and draw the line through those two points:

{{{drawing(400,400,-10,10,-10,10,
graph(400,400,-10,10,-10,10), circle(0,3,.2), circle(-4,0,.2), 
line(-12,-6,12,12)

)}}}