why didn't you say you had a problem with graphing in the first place?
for this problem, you will need graphing paper, you need a grid to be "accurate" here.
start with one line, just plot two points. the x and y intercepts are usually good choices, do you know how to find those?
otherwise, just plug in two reasonable x-values and solve for y. this will give you two points. plot them on the graph paper, then take a ruler and draw a straight line through both points. that's it
can you continue?
for example, in the first equation.
4x + 3y = 12
4x + 3(0) = 12
=> 4x = 12
=> x = 3
so the x-intercept is (3,0) and that is one point to plot
for the y-int:
4(0) + 3y = 12
=> 3y = 12
=> y = 4
so (0,4) is the y-intercept which is another point to plot.
so you can plot those two points on graph paper and draw a straight line through them with the aid of a straight edge. do a similar thing for the other line