SOLUTION: 1) Describe the three possible relationships for two straight lines in the same plane. 2) What is the solution to a system of two equations represented by two parallel lines in

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Question 93160: 1) Describe the three possible relationships for two straight lines in the same plane.
2) What is the solution to a system of two equations represented by two parallel lines in the same plane?

3) Describe the steps needed to determine the graph for the solutions to a linear inequality in two variables. What points in the coordinate plane (shaded area) will be selected and why?
4) In a Linear Programming problem you need to maximize a function that contains two variables (such as a and b). Explain what is meant by the constraints for this problem.

Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
1) Describe the three possible relationships for two straight lines in the same plane.
One: intersect at one point; Two: two lines coincide; Three: parallel lines
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2) What is the solution to a system of two equations represented by two parallel lines in the same plane?
There is no solution.
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3) Describe the steps needed to determine the graph for the solutions to a linear inequality in two variables.
Graph the boundary lines which are the equality equations associated with
the inequality statements.
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What points in the coordinate plane (shaded area) will be selected and why?
Select a test point; test it in the inequality; if it satisfies the inequality
the half-plane containging the test point should be shaded; it is the solution
set for the inequality.
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4) In a Linear Programming problem you need to maximize a function that contains two variables (such as a and b). Explain what is meant by the constraints for this problem.
The constraints are the intersection of the solution sets of the various
inequalities.
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Cheers,
Stan H.