You can put this solution on YOUR website! Given:
You are asked to graph this.
The easiest way to graph a function like this is to graph the equality first.
This is in the form y = mx + b. So you know it is a line with slope 1/4 and y intercept of -1.
So graph that as
That line is the equality. So where in the graph is y "less than"? All points that fall below the line are points where y < (1/4)x -1.
So just cross hatch the area below the line and leave the line as is.
If you had been asked to graph y<(1/4)x -1 that is, without the equal sing included, you would proceed the same way as above EXCEPT, you would draw the original line in using a dotted line. Dotted line tells the person reading your plot that the graph's solutions to NOT include the line itself .. jus the area below it.
Make sense?