SOLUTION: y is less than or equal to 1/4x-1 please explain and show how i can solve this problem. thanks!

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Question 137857: y is less than or equal to 1/4x-1
please explain and show how i can solve this problem.
thanks!

Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
Given: y+%3C=+%281%2F4%29x+-1+
You are asked to graph this.
The easiest way to graph a function like this is to graph the equality first.
y+=+%281%2F4%29x+-1 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
graph%28600%2C+400%2C+-10%2C+10%2C+-10%2C+10+%2C+%281%2F4%29x-1%29
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?