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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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
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y=mx+b where m is slope If you get y by itself y=-0.5x+7.5
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?
A and B are any number.

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

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