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YanaSidlinskiy
 one year ago
Write the equation of the line which has a slope of 8/9 and passes through (7,6). Write the answer in slope intercept form. @e.mccormick
YanaSidlinskiy
 one year ago
Write the equation of the line which has a slope of 8/9 and passes through (7,6). Write the answer in slope intercept form. @e.mccormick

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YanaSidlinskiy
 one year ago
Best ResponseYou've already chosen the best response.0I got some whacky answer such as: y=8/9x1 This is wrong and I need some help.

e.mccormick
 one year ago
Best ResponseYou've already chosen the best response.1OK. so, y=mx+b You have an (x,y) and are given an m. So you need to find b. You did that?

YanaSidlinskiy
 one year ago
Best ResponseYou've already chosen the best response.0Well, my first step was in doing this: y(6) = 8/9(x+7)

YanaSidlinskiy
 one year ago
Best ResponseYou've already chosen the best response.0From there I went: y+6= 8/9x+ umm...I did some weird thing like I subtracted 6 from the 7.. I hate fractions and I don't know how to solve it.

e.mccormick
 one year ago
Best ResponseYou've already chosen the best response.1It is multiplication. The fraction times the fraction. \(6=\dfrac{8}{9}7+b\) is also \(6=\dfrac{8}{9}\cdot\dfrac{7}{1}+b\)

e.mccormick
 one year ago
Best ResponseYou've already chosen the best response.1Once you have that, you need to get all the # on one side and the b on the other... which means ether getting everything into ninths, or knowing how to work with mixed numbers.

YanaSidlinskiy
 one year ago
Best ResponseYou've already chosen the best response.0Ok, I'll see what I can do. Can I just like multiply straight across?

e.mccormick
 one year ago
Best ResponseYou've already chosen the best response.1For that 7/1, yes.

e.mccormick
 one year ago
Best ResponseYou've already chosen the best response.1All numbers are fractions. The 1 just hides.

YanaSidlinskiy
 one year ago
Best ResponseYou've already chosen the best response.0Yeah, I knew that. I got a mixed number: 6 2/9

YanaSidlinskiy
 one year ago
Best ResponseYou've already chosen the best response.0Is there a way to like work without these fractions?

e.mccormick
 one year ago
Best ResponseYou've already chosen the best response.1Not really, but fractions are your friend!

YanaSidlinskiy
 one year ago
Best ResponseYou've already chosen the best response.0Yes, definitely....

e.mccormick
 one year ago
Best ResponseYou've already chosen the best response.1OK, so, as a mixed number, what would you get if you then move those over to not be with the b?

e.mccormick
 one year ago
Best ResponseYou've already chosen the best response.1Yes. You have to subtract it from both sides.

YanaSidlinskiy
 one year ago
Best ResponseYou've already chosen the best response.0So wait. The equation that I have right now is: 6= 8/9x + 6 2/9 Is that correct? I want to know before we actually move on...

e.mccormick
 one year ago
Best ResponseYou've already chosen the best response.1No. You dealth with the 8/9x, you do not know the b. 6 = 6 2/9 + b

e.mccormick
 one year ago
Best ResponseYou've already chosen the best response.1See, you replaced the m, x, and y. You are finding b.

e.mccormick
 one year ago
Best ResponseYou've already chosen the best response.1y = mx+b replace knowns to get: (6) = (8/9)(7)+b multiply out the 7 and 8/8 tp get: 6 = 6 2/9+b That is all the steps so far. Next is subtract 6 2/9 from both sides to get b alone.

YanaSidlinskiy
 one year ago
Best ResponseYou've already chosen the best response.0Ok, lemme do it and see what I get...

YanaSidlinskiy
 one year ago
Best ResponseYou've already chosen the best response.0Would this be the correct step before I do any of the subtractions? 6  (6) 2/9

e.mccormick
 one year ago
Best ResponseYou've already chosen the best response.1Not quite. Because it is postive on the one side, you subteact it or add the negative. That has one extra  sign...

e.mccormick
 one year ago
Best ResponseYou've already chosen the best response.16  (6) = 6 +6 = 0, which is incorrect.

YanaSidlinskiy
 one year ago
Best ResponseYou've already chosen the best response.0So wait, I'm so confused.

YanaSidlinskiy
 one year ago
Best ResponseYou've already chosen the best response.0It would be 6 + 6?

e.mccormick
 one year ago
Best ResponseYou've already chosen the best response.1Basically, yes. 6 = 6 2/9+b 6  (6 2/9) = 6 2/9+b  (6 2/9) Which also means: 6 + (6 2/9) = 6 2/9  (6 2/9) +b

e.mccormick
 one year ago
Best ResponseYou've already chosen the best response.1So what do you get when you simplify that?

YanaSidlinskiy
 one year ago
Best ResponseYou've already chosen the best response.0Umm.... I don't know haha. This is terrible. I hate fractions!!!!

YanaSidlinskiy
 one year ago
Best ResponseYou've already chosen the best response.0It's getting to the point where I'm about to blow up!!

YanaSidlinskiy
 one year ago
Best ResponseYou've already chosen the best response.012? I'm guessing....

e.mccormick
 one year ago
Best ResponseYou've already chosen the best response.1Well, it is a mixed number right now... so it just comes along for the ride. Because they are both negative, you are not going to need about converting both to fractions at the moment. So yes, 12... and the fractin part. 12 2/9

YanaSidlinskiy
 one year ago
Best ResponseYou've already chosen the best response.0So my slopeintercept would be: y=1/8x 12 2/9?

YanaSidlinskiy
 one year ago
Best ResponseYou've already chosen the best response.0THANK YOU JESUS I GOT THIS RIGHT!!!

YanaSidlinskiy
 one year ago
Best ResponseYou've already chosen the best response.0Thanks, Eric!! It really does look like I'm in love with fractions. Ughgh.

e.mccormick
 one year ago
Best ResponseYou've already chosen the best response.1OK, I showed to this point: \(6=\dfrac{8}{9}\cdot\dfrac{7}{1}+b\) Now, let me show you it all in factions from there. \(6=\dfrac{56}{9}+b\) \(6\dfrac{56}{9}=\dfrac{56}{9}\dfrac{56}{9}+b\) \(\dfrac{54}{9}\dfrac{56}{9}=b\) \(\dfrac{110}{9}=b\) So you can also write the slopeint as: \(y=\dfrac{8}{9}x\dfrac{110}{9}\) Which graphs as: https://www.desmos.com/calculator/4y3424y9ye

YanaSidlinskiy
 one year ago
Best ResponseYou've already chosen the best response.0Oh!!! Ok. That's better!! Thanks!!

YanaSidlinskiy
 one year ago
Best ResponseYou've already chosen the best response.0Not to offend you or anything like that, I was wondering why you started off with 6 = 8/9*7/1 +8...

e.mccormick
 one year ago
Best ResponseYou've already chosen the best response.1I didn't. It is +b. Not +8.

e.mccormick
 one year ago
Best ResponseYou've already chosen the best response.1Write the equation of the line which has a slope of 8/9 and passes through (7,6). That means: (x,y) = (7,8) at one point, so x = 7 and y = 6 are valid in one equation. m = 8/9 y=mx+b is the general equation. All I did was substitute what is known: \((6)=\left(\dfrac{8}{9}\right)(7)+b\) That is how I started. It leaves only b as a variable, which is what I solved for next. =)

YanaSidlinskiy
 one year ago
Best ResponseYou've already chosen the best response.0Ohhh!!!! Cuz I did it some other way and I got confused.....

e.mccormick
 one year ago
Best ResponseYou've already chosen the best response.1Yah. Hehe. I can guess with a 1 in your first thing. It is all about looking at what is known and unknown. They want it in y=mx+b form. They gave you 3 of the 4 variables, so you need to find the 4th.

YanaSidlinskiy
 one year ago
Best ResponseYou've already chosen the best response.0Hehe. Not nice=) Just Kidding! But anyways.. I see where you're getting that "loved math" from.

e.mccormick
 one year ago
Best ResponseYou've already chosen the best response.1People tend to shy away from fractions when they are first shoved on them, but they are really not that bad. I think they are just poorly taught. They come in handy, are in all of life, and prep you for dealing with a lot of other math. For example, there are some similar rules for fractions and radicals: To add or subtract, what is under must match. To multiply, just go for it. There are also some differences: To divide a fraction, you flip over the divisor(second one) and multiply. With radicals, they must be the same power to multiply or divide them. So square roots and cube roots won't multiply out the same way as two cube roots or two square roots. So if you know how to work fractions it makes you partially ready for working with radicals (roots.)

e.mccormick
 one year ago
Best ResponseYou've already chosen the best response.1And as for real life, a quarter is 1/4 of a dollar, a slice of pie is anywhere from 1/4 of a small one to 1/8th of a large one, yu can order half a sandwitch, the pitch (slope) of a roof in america is given in 12ths, etc.

YanaSidlinskiy
 one year ago
Best ResponseYou've already chosen the best response.0Ohhh!!! Makes total sense. Went into depth with it! Thanks alot!!! I really appreciate it!!
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