Republican31
  • Republican31
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?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
y=mx+b where m is slope If you get y by itself y=-0.5x+7.5
Republican31
  • Republican31
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?
anonymous
  • anonymous
A and B are any number.

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anonymous
  • anonymous
You got the y intercept right. But something is wrong. Can you see it?
Republican31
  • Republican31
Not really sorry. I'm a little confused on standard form.
anonymous
  • anonymous
standard form is Ax+By=C you are right on that. Hint:y=mx+b is wrong. where m is SLOPE
Republican31
  • Republican31
In your example for slope intercept form, you have -0.5 for m.
anonymous
  • anonymous
They do not want -0.5 for m right? They want 0.5
Republican31
  • Republican31
Ya.
anonymous
  • anonymous
Problem says slope: 0.5 slope=m
anonymous
  • anonymous
So let me see your new standard form
Republican31
  • Republican31
I don't understand. I said 0.5x + y = 7.5 above, I think.
Republican31
  • Republican31
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.
anonymous
  • anonymous
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
Republican31
  • Republican31
Oh okay I see. I didn't understand what you were going for there. Alright so what would I have to do now?
anonymous
  • anonymous
Make m the right slope.
Republican31
  • Republican31
-0.5x + y = 7.5?
anonymous
  • anonymous
Yes, that is correct. Nice job.
Republican31
  • Republican31
Alright thank you! So I just need to start the proper way with slope intercept then convert to standard is all?
anonymous
  • anonymous
Yes, slope intercept first then standard. It makes everything easier at the beginning.
Republican31
  • Republican31
Alright thank you so much!
anonymous
  • anonymous
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
Republican31
  • Republican31
By -2? Isn't it usually be -1 to keep the numbers the same? @Shalante ?
anonymous
  • anonymous
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|
anonymous
  • anonymous
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
anonymous
  • anonymous
that's why you multiply by -2 to clear the common denominator of 2
anonymous
  • anonymous
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
anonymous
  • anonymous
but clearing the fraction/decimal is a must
anonymous
  • anonymous
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.
anonymous
  • anonymous
@Republican31 Hey, he is right. Multiply everything by -2 like this -2(0.5x+y)=7.5
Republican31
  • Republican31
My... Brain... Hurts... Math since 7:00 am today and it's 9:00 now.
Republican31
  • Republican31
Alright thank you.
anonymous
  • anonymous
-2(-0.5x+y)=7.5)) i mean.
Republican31
  • Republican31
1x - 2y = -15 then?
anonymous
  • anonymous
yes, and you don't need to keep the 1 in front of x
Republican31
  • Republican31
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.
Republican31
  • Republican31
I just wanted to make sure I was supposed to multiply the 7.5 too.
anonymous
  • anonymous
Thanks for clarifying. Have not done Algebra 1 for a while. Will always forget one topic about it.
anonymous
  • anonymous
yeah you multiply the 7.5, and the rules have been around since before online school so you should be good :)
Republican31
  • Republican31
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.
Republican31
  • Republican31
So I see now no integers. Thank you!
Republican31
  • Republican31
Err you know what i mean.
anonymous
  • anonymous
Yea, the rules are correct.
Republican31
  • Republican31
Alright thank you! Into my notes you go! Sorry @peachpi but I gave the medal to @Shalante, but I will fan you too!
anonymous
  • anonymous
Of course you can change linear equation form. From point slope form to standard form and vice versa.
anonymous
  • anonymous
No problem!
Republican31
  • Republican31
Linear equation form? I think the only other that's been covered yet is point slope form, unless that's similar.
Republican31
  • Republican31
So please, no more forms. Too many.

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