anonymous
  • anonymous
Given two points on the line, input the equation of the line in standard form Ax + By = C. Reduce all fractional answers to lowest terms. (7, -3), (4, -8)
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
myininaya
  • myininaya
Well we can put into y=mx+b form first then rearrange it to the standard form. So m represents slope and b is the y-intercept. Given two points, you can use the slope formula which is (x1-x2)/(y1-y2)
anonymous
  • anonymous
So (7-4)/(-3-(-8)?
myininaya
  • myininaya
oops i put my x's on top. (y1-y2)/(x1-x2)

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
Ok so (-3-(-8)/(7-4)?
myininaya
  • myininaya
yes (-3-(-8))/(7-4) Do the subtraction on top and then do the subtraction on bottom.
anonymous
  • anonymous
So 5/3
myininaya
  • myininaya
yes that is m, the slope so let's fill in the info we have y=5x/3+b The only thing we don't know now is b, the y-intercept. you can use a point on the line (either of the two given to you) to find b. So if we use (7,-3) then we will see we have only one know in the following equation -3=5(7)/3+b Solve for b.
anonymous
  • anonymous
So -3*3=5(7)/3*3+b = 9=35+b?
myininaya
  • myininaya
Well if you are multiplying both sides by 3 to get rid of that fraction then you can't forget to multiply each term on the right hand side by 3. So you should have -3*3=5(7)/3*3+3*b
myininaya
  • myininaya
-9=35+3b
anonymous
  • anonymous
Ok. So next I need to get 3b on the left side right?
myininaya
  • myininaya
Well you could leave it on the right and do something with that 35 instead but yeah either way really.
anonymous
  • anonymous
Okay so -9 - 35 = 35 - 35 +3b?
myininaya
  • myininaya
yep yep
anonymous
  • anonymous
Okay so -44 = 3b?
myininaya
  • myininaya
yep
anonymous
  • anonymous
And then -44/3 = 3b/3 which equals -14 2/3 =3b?
myininaya
  • myininaya
Yes I would leave it just in the improper form. So we have m=5/3 and b=-44/3 This means y=mx+b ---> y=5x/3-44/3
myininaya
  • myininaya
We should be able to rearrange this into the form you want Ax+By=C
anonymous
  • anonymous
So 5x/3+y=-44/3?
myininaya
  • myininaya
Did you subtract 5x/3 on both sides? Looks like you subtracted on one side but not the other.
anonymous
  • anonymous
So -5x/3+y=-44/3?
myininaya
  • myininaya
Yes. Now get rid of fractional part by multiplying both sides by 3 and you are done.
anonymous
  • anonymous
So -5x + y = -44?
myininaya
  • myininaya
You need to also multiply that one term by 3.
myininaya
  • myininaya
3(-5x/3+y=-44/3) 3(-5x/3+y)=3(-44/3) 3(-5x/3)+3(y)=3(-44/3) -5x + 3y = -44
anonymous
  • anonymous
Ohh! Alright! Thank you!
myininaya
  • myininaya
You did good. Good job Dani.

Looking for something else?

Not the answer you are looking for? Search for more explanations.