+29 what is 8x-3y less than or equal to -12 and how would I graph it on a coordinate plane plz and thx
+129852 8x - 3y ≤ -12
Let's get a couple of solutions to this equation, first
8x - 3y = -12
Let x =0 so ... 8(0) -3y = -12 → -3y = -12 → y =4 so we have the point (0,4)
Now...let y = 0 and we have 8x - 3(0) = -12 → 8x = -12 [divide both sides by 8] → x = -12/8 = -3/2
So....we have the second point, (-3/2 , 0)
Plot these points on a graph and draw a solid line through them [ implied by the " ≤ " ]
Now.......pick a point on either side of the line - I'll choose (0,0) - and put it in the original equation....if this point makes the equation true.....shade the side of the line that includes (0,0)....if (0,0) malkes the original equation false.....shade the other side of the line....so
Testing (0,0) we have
8(0) - 3(0) ≤ -12 ???
0 ≤ -12 ???
This is false....so shade the other side
Your graph should look like this : https://www.desmos.com/calculator/we4cvh0v41
Note that (0,0) is not include in the solution area !!!!
