Answer: 5x-6y >= -30
Step-by-step explanation:
Pick two points from the graph to frame the equation of the line = (0,5) and (-6,0)
Frame the equation y=mx+b, where m is the slope and b is the y-intercept
The y-intercept is the point where the graph crosses y-axis and it is equal to 5.
slope m = y2-y1/x2-x1 = 0-5/-6-0 = 5/6
Equation becomes y = 5/6x+5
Multiply the whole equation by 6
6y+5x = 30
Subtract 5x on both sides
-5x+6y = 30
Multiply whole equation by -1
5x-6y = -30
Now we look at the shaded part and confirm the inequality
The shaded part contains (0,0)
So we plug in 0 for x and 0 for y
5(0) - 6(0) = -30
0 >= -30 is true
So inequality becomes 5x-6y >= -30