Offering 40 points and brainliest answer to whoever can solve this and explain how to do it would be greatly appreciated. (: < 3

Ok so tell me the weird sign in front of the 6 and I should be able to help you.

First you have to put the equation in slope intercept form:

y=mx+b

x+3y ≤ 6

Isolate y by performing the opposite opperation of subtracting x on both sides of the equation

3y ≤ -x + 6

Divide by 3

y ≤ -1/3x +2

TO graph this, plot your y intercept, which is b in the slope intercept formula. So, plot 2 on the y axis. To plot other points, use the slope. -1/3. Slope is rise over run. So, since the slope is negative, the line will go down instead of up.

So, from (0,4) where you plotted your y int., go down one line on the y axis (rise, or in this case, fall) and to the right 3 lines (run) which you will count on the x axis

Then, plot that point. Continue doing so until you have a decent amount of points

For shading, it is going to be a solid line and everything above your line is going to be shaded because the inequality states that y GREATER THAN or equal to, so everything greater then y needs to be shaded

Hope I explained ok. It's kinda hard to explain graphing when not in person