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Republican31

  • one year ago

Write an equation of the line with the given slope and y-intercept in standard form. slope: 0.5; y-intercept: 7.5 Is 0.5x + y = 7.5 correct or a start or anything?

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  1. anonymous
    • one year ago
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    y=mx+b where m is slope If you get y by itself y=-0.5x+7.5

  2. Republican31
    • one year ago
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    Thank you but how do I make it standard form? Standard form is Ax + By = C but I can't remember what a and b are. I think A is the slope and B might be the y intercept?

  3. anonymous
    • one year ago
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    A and B are any number.

  4. anonymous
    • one year ago
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    You got the y intercept right. But something is wrong. Can you see it?

  5. Republican31
    • one year ago
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    Not really sorry. I'm a little confused on standard form.

  6. anonymous
    • one year ago
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    standard form is Ax+By=C you are right on that. Hint:y=mx+b is wrong. where m is SLOPE

  7. Republican31
    • one year ago
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    In your example for slope intercept form, you have -0.5 for m.

  8. anonymous
    • one year ago
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    They do not want -0.5 for m right? They want 0.5

  9. Republican31
    • one year ago
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    Ya.

  10. anonymous
    • one year ago
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    Problem says slope: 0.5 slope=m

  11. anonymous
    • one year ago
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    So let me see your new standard form

  12. Republican31
    • one year ago
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    I don't understand. I said 0.5x + y = 7.5 above, I think.

  13. Republican31
    • one year ago
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    I just don't understand how to convert slope intercept to standard. I can't remember it and I've looked at a few websites and it doesn't seem to show me how, just provide practice problems.

  14. anonymous
    • one year ago
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    0.5x+y=7.5 turns to y=-0.5x+7.5 if you make y by itself and y=mx+b where m is slope m=-0.5 m=slope

  15. Republican31
    • one year ago
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    Oh okay I see. I didn't understand what you were going for there. Alright so what would I have to do now?

  16. anonymous
    • one year ago
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    Make m the right slope.

  17. Republican31
    • one year ago
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    -0.5x + y = 7.5?

  18. anonymous
    • one year ago
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    Yes, that is correct. Nice job.

  19. Republican31
    • one year ago
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    Alright thank you! So I just need to start the proper way with slope intercept then convert to standard is all?

  20. anonymous
    • one year ago
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    Yes, slope intercept first then standard. It makes everything easier at the beginning.

  21. Republican31
    • one year ago
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    Alright thank you so much!

  22. anonymous
    • one year ago
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    I think you guy missed the final step. For standard form, all the numbers have to be integers, and according to most sources, the coefficient of x must be positive. So you need to multiply by -2 to get rid of the decimals and make the "a" positive

  23. Republican31
    • one year ago
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    By -2? Isn't it usually be -1 to keep the numbers the same? @Shalante ?

  24. anonymous
    • one year ago
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    If the numbers were integers, yes you'd multiply by -1. But you have decimals. You need to multiply. If they were fractions they'd be |dw:1439522812444:dw|

  25. anonymous
    • one year ago
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    But standard form is Ax+By=C If A turns positive then B turns negative it would be Ax+(-By)=C which will be Ax-By=C

  26. anonymous
    • one year ago
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    that's why you multiply by -2 to clear the common denominator of 2

  27. anonymous
    • one year ago
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    B can be negative in standard from. It will still be Ax + By = C, it's just that B takes on a negative value. And that's kind of why I said "most sources". I learned it as A has to be positive, but I've seen recently that some books don't make that a requirement

  28. anonymous
    • one year ago
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    but clearing the fraction/decimal is a must

  29. anonymous
    • one year ago
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    You said every integer would have to be positive in standard form, but I realized only A can be positive You are right that it cannot be in fraction.

  30. anonymous
    • one year ago
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    @Republican31 Hey, he is right. Multiply everything by -2 like this -2(0.5x+y)=7.5

  31. Republican31
    • one year ago
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    My... Brain... Hurts... Math since 7:00 am today and it's 9:00 now.

  32. Republican31
    • one year ago
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    Alright thank you.

  33. anonymous
    • one year ago
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    -2(-0.5x+y)=7.5)) i mean.

  34. Republican31
    • one year ago
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    1x - 2y = -15 then?

  35. anonymous
    • one year ago
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    yes, and you don't need to keep the 1 in front of x

  36. Republican31
    • one year ago
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    And you're sure these are rules that would be in online school written a few years ago? And ya, sorry I'm burned out ha ha.

  37. Republican31
    • one year ago
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    I just wanted to make sure I was supposed to multiply the 7.5 too.

  38. anonymous
    • one year ago
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    Thanks for clarifying. Have not done Algebra 1 for a while. Will always forget one topic about it.

  39. anonymous
    • one year ago
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    yeah you multiply the 7.5, and the rules have been around since before online school so you should be good :)

  40. Republican31
    • one year ago
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    Alright thank you! By the way I finally found the rules they gave for these forms. Slope-Intercept Form y = mx + b m is the slope and b is the y-intercept Standard Form Ax + By = C A ≥ 0 A and B are not both 0 A, B, and C are integers whose greatest common factor is 1 It is possible to change any linear equation from one form to the other.

  41. Republican31
    • one year ago
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    So I see now no integers. Thank you!

  42. Republican31
    • one year ago
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    Err you know what i mean.

  43. anonymous
    • one year ago
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    Yea, the rules are correct.

  44. Republican31
    • one year ago
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    Alright thank you! Into my notes you go! Sorry @peachpi but I gave the medal to @Shalante, but I will fan you too!

  45. anonymous
    • one year ago
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    Of course you can change linear equation form. From point slope form to standard form and vice versa.

  46. anonymous
    • one year ago
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    No problem!

  47. Republican31
    • one year ago
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    Linear equation form? I think the only other that's been covered yet is point slope form, unless that's similar.

  48. Republican31
    • one year ago
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    So please, no more forms. Too many.

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