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?

- Republican31

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- anonymous

y=mx+b where m is slope
If you get y by itself
y=-0.5x+7.5

- 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

A and B are any number.

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- anonymous

You got the y intercept right. But something is wrong. Can you see it?

- Republican31

Not really sorry. I'm a little confused on standard form.

- anonymous

standard form is Ax+By=C
you are right on that.
Hint:y=mx+b is wrong. where m is SLOPE

- Republican31

In your example for slope intercept form, you have -0.5 for m.

- anonymous

They do not want -0.5 for m right?
They want 0.5

- Republican31

Ya.

- anonymous

Problem says slope: 0.5
slope=m

- anonymous

So let me see your new standard form

- Republican31

I don't understand. I said 0.5x + y = 7.5 above, I think.

- 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

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

Oh okay I see. I didn't understand what you were going for there. Alright so what would I have to do now?

- anonymous

Make m the right slope.

- Republican31

-0.5x + y = 7.5?

- anonymous

Yes, that is correct.
Nice job.

- Republican31

Alright thank you! So I just need to start the proper way with slope intercept then convert to standard is all?

- anonymous

Yes, slope intercept first then standard.
It makes everything easier at the beginning.

- Republican31

Alright thank you so much!

- 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

By -2? Isn't it usually be -1 to keep the numbers the same?
@Shalante ?

- 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

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

that's why you multiply by -2 to clear the common denominator of 2

- 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

but clearing the fraction/decimal is a must

- 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

@Republican31
Hey, he is right.
Multiply everything by -2
like this -2(0.5x+y)=7.5

- Republican31

My... Brain... Hurts... Math since 7:00 am today and it's 9:00 now.

- Republican31

Alright thank you.

- anonymous

-2(-0.5x+y)=7.5)) i mean.

- Republican31

1x - 2y = -15 then?

- anonymous

yes, and you don't need to keep the 1 in front of x

- 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

I just wanted to make sure I was supposed to multiply the 7.5 too.

- anonymous

Thanks for clarifying.
Have not done Algebra 1 for a while.
Will always forget one topic about it.

- anonymous

yeah you multiply the 7.5, and the rules have been around since before online school so you should be good :)

- 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

So I see now no integers. Thank you!

- Republican31

Err you know what i mean.

- anonymous

Yea, the rules are correct.

- 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

Of course you can change linear equation form.
From point slope form to standard form and vice versa.

- anonymous

No problem!

- Republican31

Linear equation form? I think the only other that's been covered yet is point slope form, unless that's similar.

- Republican31

So please, no more forms. Too many.

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