Question

How do you graph `2x - y >= 4`?

Answer 1

`2x-y>=4`

By adding `y` and subtracting `4` from both sides we can convert this into a more standard form:
`2x-4>=y`
or
`y<=2x-4`

Consider the equality portion of this:
`y = 2x-4`
which is the standard slope- y intercept form of a linear equation

From this we know that the y-intercept is at `(0,-4)` and for every unit of increase in `x`, `y` increases by `2` (so we could generate points `(1,-2), (2,0), (3,2)` etc.)

Our graph of `y<=2x-4` includes this line plus all values of `y` below this line for any given value of `x`