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kenialove

  • one year ago

The intersection point of the graphs of the following system of equations has an x-coordinate of 3 and a y-coordinate of 24. What information does this intersection point provide ? y - x = 21 y = 8x A. The solution of the system B. The slope of the graphs C. The y-intercept D. The constant of proportionality

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  1. noseboy908
    • one year ago
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    Is the "y-x=21" and "y=8x" provided in your problem, or is that part of your work to solve it?

  2. kenialove
    • one year ago
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    It's part of the problem

  3. noseboy908
    • one year ago
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    Ok, and is it one of the questions that may have multiple answers?

  4. kenialove
    • one year ago
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    Wym ?

  5. noseboy908
    • one year ago
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    Could you rephrase that?

  6. kenialove
    • one year ago
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    Wat u mean by wat u said before ?

  7. noseboy908
    • one year ago
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    Does your question state that multiple answers could be correct, or is it a standard multiple choice question with only one solution?

  8. kenialove
    • one year ago
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    It's a standard multiple choice question

  9. noseboy908
    • one year ago
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    Ok, let's ignore the two given slope-intercept formulas for the moment. Does the X and Y coordinate ALONE give us the constant, also known as "k"?

  10. kenialove
    • one year ago
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    Yes

  11. noseboy908
    • one year ago
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    I can see why you'd think that, but unfortunately it does not. If you say yes because the formula for k is k=(y/x), then you might mistakenly put intercepts as your x and y values, but you have to get those variables from solving for x and y, given a specific set of equations, and neither of your given equations fits that bill.

  12. noseboy908
    • one year ago
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    So let's try the next possibility. Does the given intersection point of (3,24) provide us with a y-intercept?

  13. kenialove
    • one year ago
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    Yes

  14. noseboy908
    • one year ago
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    Explain how please. In order to help you understand why the right answer is right, I need to know your thought process for this one.

  15. kenialove
    • one year ago
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    I'm guessing the y-intercept is 24 because it's on the y-axis

  16. kenialove
    • one year ago
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    Is that right ? @noseboy908

  17. noseboy908
    • one year ago
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    It depends how you say that it's on the y-axis. More exactly, the y-axis is used for the ordered pair to simply say how high on the y-axis the point is, but you have to take into account the x value too. Understand?

  18. kenialove
    • one year ago
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    Wat I mean is so the coordinates are (3,24) so the 3 would be where the x-axix is and the 24 is where the y-axix is but I understand wat ur trying to say

  19. noseboy908
    • one year ago
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    Ok, now let's go to the next possibility. Let's keep it simple. Can you determine slope of a line when all you know about that line is a single point on it?

  20. kenialove
    • one year ago
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    I don't understand

  21. noseboy908
    • one year ago
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    How does one find the slope of a line?

  22. kenialove
    • one year ago
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    Did you mean can we find the slope of a line knowing only one of the points ?

  23. noseboy908
    • one year ago
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    Exactly!

  24. kenialove
    • one year ago
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    Oh well then no

  25. noseboy908
    • one year ago
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    Good, I was hoping I'd not have to defend that fact! Now, finally, look at the last possibility for an answer. When we have two lines that intersect at one or more points, what do we call those points?

  26. kenialove
    • one year ago
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    Intersection

  27. noseboy908
    • one year ago
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    Correct, but can you think of any other terms?

  28. kenialove
    • one year ago
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    No

  29. noseboy908
    • one year ago
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    I'll tell you, as you may have never heard it before. Another term for the intersection of two lines, given the right question, is the "solution", therefore, when you have two or more of them, you can have multiple solutions, but that's getting into higher math. So, what does that leave us for an answer?

  30. kenialove
    • one year ago
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    Ohhhhh yea I'm sorry I forgot and so the answer would be C. The y-intercept

  31. noseboy908
    • one year ago
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    Ok, we just determined that the intersection of two points is called what?

  32. noseboy908
    • one year ago
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    (In this case)

  33. kenialove
    • one year ago
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    The solution

  34. noseboy908
    • one year ago
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    And which answer is that?

  35. noseboy908
    • one year ago
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    Exactly!! Now, be honest with me, do you understand why the other answers are not correct?

  36. kenialove
    • one year ago
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    Yes .. But can you explain to me why the answer isn't C. Please ?

  37. noseboy908
    • one year ago
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    Of course! Firstly, it's imperative to note that ALL y-intercepts have an inherent x-value of 0. That's because if was any different, then the point would actually fall x units right or left of the axis!

  38. kenialove
    • one year ago
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    Ohhh I understand .. Thanks so much ! @noseboy908

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