anonymous
  • anonymous
Find the standard form of the equation of the line.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
27) (2,5) (5,7)
misty1212
  • misty1212
is it as easy as the last one?
misty1212
  • misty1212
oh no it is not did you get the slope?

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anonymous
  • anonymous
Yes. The slope is 2/3.
anonymous
  • anonymous
I know I use this formula. Y=mx+b
misty1212
  • misty1212
ok then use the point slope formula pick a point
anonymous
  • anonymous
Okay. (2,5).
misty1212
  • misty1212
no dear we are not going to use that, we are going to so something else pick a point from the two you have
anonymous
  • anonymous
Oh. Okay!
misty1212
  • misty1212
ok now write \[y-y_1=m(x-x_1)\] with \[x_1=2,y_1=5,m=\frac{3}{2}\]
misty1212
  • misty1212
oops i meant \(m=\frac{2}{3}\)
misty1212
  • misty1212
you should be looking at \[y-5=\frac{2}{3}(x-2)\] right?
anonymous
  • anonymous
i already did that and got y=(2/3)x+(11/3)
misty1212
  • misty1212
now if you were going to write this in "point slope" form you would solve for \(y\) but you want "standard form" \[ax+by=c\]
anonymous
  • anonymous
Oh.
misty1212
  • misty1212
yeah but you went too far you got it in slope intercept form you were asked for standard form
misty1212
  • misty1212
lets start here \[y-5=\frac{2}{3}(x-2)\] it i easier
misty1212
  • misty1212
multiply both sides by \(3\) to get \[3y-15=2(x-2)\]
misty1212
  • misty1212
notice of course you have to multiply both sides by 3
misty1212
  • misty1212
then distribute \[3y-15=2x-4\]
misty1212
  • misty1212
put all the variables on one side, numbers on the other get \[3y-2x=11\] or \[2x-3y=-11\] that is "standard form"
anonymous
  • anonymous
You're right! Gosh, I thought I didn't take it far enough but I went way too far. Thank you again, Misty!
misty1212
  • misty1212
\[\color\magenta\heartsuit\]

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