You can put this solution on YOUR website! plot a graph
Put both equation in the slope/intercept form
1)
3x + 2y = 4
2y = -3x + 4
y = x +
y = -1.5x + 2; red
the table for this equation, (choose a value for x, then find y)
x | y
-------
-2 |+5
0 |+2
+2 |-1
and
9x + 6y = 16
6y = -9x + 16
y = x +
y = -1.5x +
y = -1.5x + 2.67; green
the table for this equation
x | y
-------
-2 |+5.67
0 |+2.67
+2 |-.33
:
Note the slopes are both -1.5, the lines are parallel