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Question 1134451: I have been given this math riddle and it is worth some points, but I am confused how to go about answering it. Can anyone please help? Thank you in advance for your time.
Set up and solve word problems.
This one will require a bit of abstract thinking.
Let's consider a linear equation in standard form: ax + by = c,
where a, b, & c are real numbers.
For what values of a, b, and c:
(a) will the equation ax + by = c, have a positive slope,
(b) will the equation ax + by = c, have a negative slope,
(c) will the equation ax + by = c, have a zero slope,
(d) will the equation ax + by = c, have an undefined slope,
(e) will the equation ax + by = c, have a positive intercept,
(f) will the equation ax + by = c, have a negative intercept,
(g) will the equation ax + by = c, have a zero intercept; means the line goes through the origin.
This should be interesting in that this concept check is actually checking a "concept" rather than an answer to a specific problem.
Answer by ikleyn(52775)   (Show Source):
You can put this solution on YOUR website! .
(a) An equation ax + by = c has the slope m =  .
Therefore, the slope is positive if and only if > 0.
(b) An equation ax + by = c has the slope m = .
Therefore, the slope is negative if and only if < 0.
(c) An equation ax + by = c has the slope m = .
Therefore, the slope is zero if and only if a = 0, b =/= 0.
(d) An equation ax + by = c has the indefinite slope
if and only if b = 0, a =/= 0.
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I think I answered enough for one post.
To get the answers to other your questions (to the rest of your questions) - please re-post them.
The rule of this forum is ONE AND ONLY ONE QUESTION per post.
I understand that these questions go in block, so I answered to the entire block.
But please keep in mind that posting TOO MANY questions in one post is AGAINST the rules and is AGAINST of your best interests.
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Comment from student: Thank you. I didn't realize that the riddle I was given counted as multiple questions. Thank you for your time.
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My responce. Excuse me.
This formula "Thank you for your time." is used when I spent my time but not satisfied you / did not provide a solution.
But in this case I answered as much as I could and as much as it was possible in given situation.
In addition, I instructed you on how to manage your questions correctly in this forum.
So, the correct reaction in this case from your side would be to say me a full scale "Thanks for your solution/contribution" or,
at least, simply "Thanks".
I forced to make this explanation because MANY visitors of this forum use the results of my work, but IGNORE ELEMENTARY RULES
of courtesy behavior.
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