Question

Graph the following inequality 3x - 2y ≤ 6

Answer 1

3x - 2y < = 6
-2y < = -3x + 6
y > = 3/2x - 3

slope = 3/2......y int = (0,-3)....x int = (2,0)

u have an equal sign, so the line will be solid
ur slope is positive, so ur line is going up (increasing)


start at (0,-3)...and since the slope is 3/2, go up 3 spaces and to the right 2 spaces....keep doing this and u will eventually cross the x axis at (2,0)

and ur line has a greater then sign, so shading occurs above the line