Question 1125746: the equation for line m is y = 1/2x -5. use this information and these descriptions to write an equation for line n, line p, and line r.
I am totally lost on this.
Line m and line n have no solutions. write an equation that can represent line n.
Line m and line p have infinitely many solutions. Write an equation that can represent line p.
Line m and line r have one solution. Write an equation that can represent line r.
Thank you
Answer by josgarithmetic(39621)   (Show Source):
You can put this solution on YOUR website! ----
the equation for line m is y = 1/2x -5. use this information and these descriptions to write an equation for line n, line p, and line r.
I am totally lost on this.
Line m and line n have no solutions. write an equation that can represent line n.
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You would want slopes of line m and line n to be the same; then, no solution.
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Line m and line p have infinitely many solutions. Write an equation that can represent line p.
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Line m and line p would be the same line, and their equations would be equivalent.
Let k be a real number,  . With this, for example,
will have infinitely many solutions.
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The last one should now be obvious.
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Line m and line r have one solution. Write an equation that can represent line r.
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You must now understand equations for two lines which do not intersect (if both in the same plane); and now must understand equations for two lines which have infinitely many points in common, being two equivalent equations, so that they are the same line.
Now you want some equation to intersect y=(1/2)x-5, in exactly one single point. .... In the same plane.
What does that mean? It means the two lines must NOT be parallel.
So, the other equation must NOT be equivalent to your given y=(1/2)x-5, and the slope must not be same as  . Infinitely many possible equations. YOU can figure out this!
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