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

1 Answer
Apr 22, 2015

#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#
enter image source here