Question

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

Answer 1

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.