Each of given equations represent the straight line on the coordinate plane.
To plot each of these lines you should find x and y intercepts and then connect these two points by line.
1. For the equation [tex]x+3y=7,[/tex] when x=0, [tex]y=\dfrac{7}{3}[/tex] and when y=0, x=7. You get two points (0,7/3) and (7,0) (see first graph).
2. For the equation [tex]2s-t=4,[/tex] when s=0, [tex]t=-4[/tex] and when t=0, s=2. You get two points (0,-4) and (2,0) (see second graph).
3. For the equation [tex]a+b=-3,[/tex] when a=0, [tex]b=-3[/tex] and when b=0, a=-3. You get two points (0,-3) and (-3,0) (see third graph).
4. For the equation [tex]-2x+4y=6,[/tex] when x=0, [tex]y=\dfrac{3}{2}[/tex] and when y=0, x=-3. You get two points (0,3/2) and (-3,0) (see fourth graph).
5. For the equation [tex]m-2n=-2,[/tex] when m=0, [tex]n=1[/tex] and when n=0, m=-2. You get two points (0,1) and (-2,0) (see fifth graph).
6. For the equation [tex]\dfrac{3}{4}x-\dfrac{1}{4}y=8,[/tex] when x=0, [tex]y=-32[/tex] and when y=0, [tex]x=\dfrac{32}{3}.[/tex] You get two points (0,-32) and (32/3,0) (see sixth graph).
Note that last two graphs are in the same diagram.
