anonymous
  • anonymous
What is the equation of the given line in standard form? Use integer coefficients. y = –1.7x + 8.5 Options: 17x + 10y = 85 –17x + 10y = 85 –17x + 10y = –85 17x + 10y = –85
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
Sorry I know I've been asking a lot of questions I'm just going through a workpage and it's not in a test or anything I'm just doing the optional questions to try and learn this stuff before my test.
e.mccormick
  • e.mccormick
"Use integer coefficients. " know what that means?
anonymous
  • anonymous
Not really sure in the context that they are asking at least.

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e.mccormick
  • e.mccormick
Well, integers are the numbers from \(-\infty\) to \(\infty\) that are not fractions, decimals, etc. So 1, 3, -8, and even \(\tfrac{2}{2}\) because it is really 1. A coefficient is a number that is next to a variable. So in 5x, 5 is the coefficent and x is the variable.
anonymous
  • anonymous
Ok, I get that all. I just don't get how to apply it to the problem.
e.mccormick
  • e.mccormick
That means the place to start is to change \(y = –1.7x + 8.5\) so that is has no decimals.
e.mccormick
  • e.mccormick
Just remember, if you multiply the right hand side of the equation by something, you must also multiply the left by the same something!
anonymous
  • anonymous
I'm confused as to how to do this...
e.mccormick
  • e.mccormick
Well, if I have 1.1 and multiply by 10, what do I get?
anonymous
  • anonymous
11
e.mccormick
  • e.mccormick
OK. And if I have \(y = –1.7x + 8.5\) and I multiply through the entire equation by 10, what do I get?
anonymous
  • anonymous
-1.7 = -17 and 8.5 = 85, so would it be 10y = -17x + 85?
e.mccormick
  • e.mccormick
Correct. Now, \(10y = –17x + 85\) does not quite look like any of your answers. The \(-17x\) is still in the wrong place.
anonymous
  • anonymous
So in standard form would it be -17x + 10y = 85
e.mccormick
  • e.mccormick
Not quite... to move domething from left to right you add, subtract, multiply, or divide. But, if it is subtracted, like \(-17x\) is, you have to ADD it to move it.
anonymous
  • anonymous
Oh so it would be 17 not -17
e.mccormick
  • e.mccormick
=)
anonymous
  • anonymous
Thank you so much!
e.mccormick
  • e.mccormick
np. I hope you begin to see how these work. It is all about order of operations!

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