Chapter 11: Coordinate Graphing 137
To graph the equation 3x + 2y = 6, make a table with a few possible values of x.
x 3 x + 2y = 6 y (x,y)
-2 3(-2)+ 2y = 6
-6 + 2y = 6
2 y = 12
y = 6
6(-2,6)
-1 3(-1) + 2y = 6
-3 + 2y = 6
2 y = 9
y = 4.5
4.5 (-1,4.5)
0 3(0) + 2y = 6
0 + 2y = 6
2 y = 6
y = 3
3(0,3)
1 3(1) + 2y = 6
3 + 2y = 6
2 y = 3
y = 1.5
1.5 (1,1.5)
2 3(2) + 2y = 6
6 + 2y = 6
2 y = 0
y = 0
0(2,0)
Once you’ve built your table, plot each of your points. You should see them falling into a line. If a
point doesn’t fall in line, check your arithmetic.