SOLUTION: graph the inequality... y>-5x+3.... I have 4 graphs to choose from and they all have dotted lines...some aim upward and some downward...they all have a shaded area...please h

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Question 689392: graph the inequality...
y>-5x+3....
I have 4 graphs to choose from and they all have dotted lines...some aim upward and some downward...they all have a shaded area...please help me - I don't undersstand how to do this....thank you
Answer by solver91311(24713) (Show Source):
You can put this solution on YOUR website!

Step 1: Change the relationship symbol to "=". Graph the resulting line. If the original relationship symbol was or , do it with a dashed or broken line. If your symbol was or , graph the equation with a solid line.

Step 2: Pick any point on the coordinate plane that does not lie on the line you just graphed. If the line does not pass through the origin, then the origin is an excellent choice for this step. If the line does pass through the origin, select a point other than the origin -- I recommend a point that has small integer coordinates.

Step 3: Substitute the values of the coordinates of the point chosen in Step 2 for the corresponding variables in the inequality you started with in Step 1.

Step 4: Do the appropriate arithmetic to determine whether the substitution created a true statement or not. If you created a true statement, shade in the side of the line containing the point selected in Step 2. If you created a false statement, shade in the side of the line that does not contain the selected point.

John

Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it