How do you graph #-y<=3x-5#?

1 Answer
Jun 21, 2018

graph{-y\le3x-5 [-10, 10, -5, 5]}

Simplify it to a regular linear formula. After graphing that formula, include all the points that also meet the original equation.

Explanation:

You start by simplifying the equation so that #y# is the only term on the LHS.

This is done by multiplying both sides by #-1#. When multiplying (or dividing) by a negative number, the "is less than or equal to" sign is flipped and becomes "is greater than or equal to".

#-y\le3x-5#
#y\ge-3x+5#

Now, you treat it as if it would be a 'normal' equation:

#y=-3x+5#

After graphing, this, you 'color' everything above the line, as all the points above the line #y=-3x+5# also meet #y\ge-3x+5#. Recall that #y\ge-3x+5# is equivalent to #-y\le3x-5#.

Hope this helps.