anonymous
  • anonymous
Write the equation of the line that passes through (2, 2) and (6, 3) in standard form.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
A. 4x + 4y = 6 B. x + 4y = 12 C. 4x + 4y = -12 D. x - 4y = -6
anonymous
  • anonymous
@FireKat97
FireKat97
  • FireKat97
Okay so this time, the only thing thats changed is the fact that you have no longer been given the slope, but remember you can find the slope with m = (y2 - y1)/(x2 - x1) or just rise/run

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More answers

FireKat97
  • FireKat97
And from there you can apply the same equation you had used earlier
anonymous
  • anonymous
uhh..
carlyleukhardt
  • carlyleukhardt
Let (2, 2) and (6, 3) be (x1,y1) & (x2,y2) First find the slope m=(y2-y1)/(x2-x1) m=1/4 Then take any pt (2, 2) or (6, 3) (y-y1)=m(x-x1) Then substitute the values of m & x1&y1 x-4y+6=0
FireKat97
  • FireKat97
okay have you covered the equation m = (y2 - y1)/(x2 - x1)?
anonymous
  • anonymous
okay so 3-2=1 and 6-2=4
carlyleukhardt
  • carlyleukhardt
yes
FireKat97
  • FireKat97
yup but its (3 - 2)/(6 -2) so m becomes 1/4
anonymous
  • anonymous
indeed whats next
FireKat97
  • FireKat97
and now we have our slope and you can pick either of the two set of coordiantes, and reapply the formula we used in the previous question
FireKat97
  • FireKat97
yup so in this case (2, 2) looks like the easier coordinate to use (because smaller numbers) so you can sub this and the slop of 1/4 into (y - y1) = m(x - x1)
FireKat97
  • FireKat97
slope*
anonymous
  • anonymous
(y-2) =1/4 (x-2)
FireKat97
  • FireKat97
yup thats correct!
anonymous
  • anonymous
thats not a choice though..
FireKat97
  • FireKat97
Thats because they don't have fractions in the answer, so we should rearrange our equation
FireKat97
  • FireKat97
so to get rid of the fraction on the right hand side, we can multiply both sides of the equation by 4 for starters
anonymous
  • anonymous
4y-8=x-2
FireKat97
  • FireKat97
Yup, and now we simplify further by resolving the -8 on the left hand side and -2 on the right
anonymous
  • anonymous
4y=x+6
anonymous
  • anonymous
4y-x=6
FireKat97
  • FireKat97
yup thats correct!
anonymous
  • anonymous
thats not an answer either :/
FireKat97
  • FireKat97
Thats because they have multiplied the left and right hand sides by -1, so try that and tell me what you get
anonymous
  • anonymous
d
FireKat97
  • FireKat97
Yup
FireKat97
  • FireKat97
:D
anonymous
  • anonymous
Thank you!!!
FireKat97
  • FireKat97
No problem :)

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