How do you graph #x+2y >=-8# on a graphing calculator?
This depends on the capabilities of your calculator, however, converting the equation to a y=... format will work on many (if not all) graphing calculators.
first, lets start making the inequality a bit simpler for the calculator to understand by converting it to a function.
Then using basic algebra, we can move this to a calculators preferred form by solving for y.
Once you plot this function, you can visualize the range of values where
These will be any point on the x,y plane that have a y-coordinate greater than that given by the function, creating a shaded area of infinite points vertically above the line.
For example, (2,1) will be in the shaded area above the line as the value of the function at x=2 (which is y=-5) will be less than the y-value associated with the point (2,1) (which is y=-1).