Answer
See attached graph.
Work Step by Step
To find these points on the graph, plug in certain values of x to solve for y:
3x - 2y = 12, where x = 0
3(0) - 2y = 12
0 - 2y = 12
-2y = 12
(-2y) $\div$ -2 = 12 $\div$ -2
y = -6
(0, -6) is the first coordinate.
3x - 2y = 12, where x = 4
3(4) - 2y = 12
12 - 2y = 12
12 - 12 - 2y = 12 -12
2y = 0
y = 0
(4,0) is the second coordinate.
3x - 2y = 12, where x = 1
3(1) - 2y = 12
3 - 2y = 12
3 - 3 - 2y = 12 -3
-2y = 9
-2y $\div$ -2 = 9 $\div$ -2
y = -4.5
(1, -4.5) is the third coordinate.
