Question

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

Answer 1

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.

Answer 2

"Use integer coefficients. " know what that means?

Answer 3

Not really sure in the context that they are asking at least.

Answer 4

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.

Answer 5

Ok, I get that all. I just don't get how to apply it to the problem.

Answer 6

That means the place to start is to change \(y = –1.7x + 8.5\) so that is has no decimals.

Answer 7

Just remember, if you multiply the right hand side of the equation by something, you must also multiply the left by the same something!

Answer 8

I'm confused as to how to do this...

Answer 9

Well, if I have 1.1 and multiply by 10, what do I get?

Answer 10

11

Answer 11

OK. And if I have \(y = –1.7x + 8.5\) and I multiply through the entire equation by 10, what do I get?

Answer 12

-1.7 = -17 and 8.5 = 85, so would it be 10y = -17x + 85?

Answer 13

Correct.

Now, \(10y = –17x + 85\) does not quite look like any of your answers. The \(-17x\) is still in the wrong place.

Answer 14

So in standard form would it be -17x + 10y = 85

Answer 15

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.

Answer 16

Oh so it would be 17 not -17

Answer 17

=)

Answer 18

Thank you so much!

Answer 19

np. I hope you begin to see how these work. It is all about order of operations!