SOLUTION: Is the inequality -x-4y>3 in correct form for graphing? Briefly explain? Please I need some help I'm not sure how to explain it! please explain what it means thank you!

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Question 624021: Is the inequality -x-4y>3 in correct form for graphing? Briefly explain?
Please I need some help I'm not sure how to explain it! please explain what it means thank you!
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Is the inequality -x-4y>3 in correct form for graphing?
:
No you want it in the slope/intercept form which is y = mx + b
Do this
-x - 4y > 3
add x to both sides
-4y > x + 3
y has to be positive, multiply both sides by -1, this reverses the inequality sign
4y < -x - 3
Divide both sides by 4
y < -1%2F4x - 3%2F4
Substitute values for x and find y, lets say x = -4 and x = +4
x | y
-------
-4 |1/4; [y = -1%2F4*-4 - 3%2F4 = +1 - 3%2F4 = 1%2F4]
:
+4 |-7/4 ; [y = -1%2F4*4 - 3%2F4 = -1 - 3%2F4 = -7%2F4]
Graph points, -4,1/4 and +4,-7/4. Should look like this
+graph%28+300%2C+200%2C+-6%2C+6%2C+-3%2C+3%2C+-.25x-.75%29+
However the inequality sign is < so the area of feasibility is below the line