Step-by-step explanation:
3x + 2y = 12
2y = 12 - 3x
y = 6 - 3/2 x
so, it is a regular line, not horizontal, not vertical.
the easiest way to graph it is to find the 2 intercepts at the x- and at the y-axis (setting x = 0 gives us the y value for the y-axis intercept, setting y = 0 gives us the x value for the x-axis intercept).
then use a ruler and draw a line through both points and well beyond these 2 points.
x = 0
3×0 + 2y = 12
2y = 12
y = 6
point (0, 6)
y = 0
3x + 2×0 = 12
3x = 12
x = 4
point (4, 0)
