anonymous
  • anonymous
Choose the point-slope form of the equation below that represents the line that passes through the point (−1, 6) and has a slope of −3
Mathematics
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
y − 6 = −3x − 3 y − 6 = −3(x + 1) y = −3x + 3 3x + y = 3
calculusxy
  • calculusxy
point-slope form: \[\large y - y_1 = m(x - x_1)\] \(m\) always represents the slope and the \(y_1\) and \(x_1\) are the places where you would need to fill it in with the x and y coordinates of \((-1,6)\).
anonymous
  • anonymous
so it would be y-6=m(x- -1) ? sorry im not really good at math..

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calculusxy
  • calculusxy
Yes you're almost there, what is the slope?
anonymous
  • anonymous
im not sure.
calculusxy
  • calculusxy
The question explicitly says it.
anonymous
  • anonymous
its - 3
anonymous
  • anonymous
i know sorry i forgot
calculusxy
  • calculusxy
Good now plug that in for m.
anonymous
  • anonymous
y-6=-3(x- -1)
calculusxy
  • calculusxy
Good, now that is fine, but if you have a minus sign and a negative, you can make it into a positive because \((- \times - = +)\). So you can just modify this and make it into \(y - 6 = -3(x + 1)\) or, if you want, you can leave it as \(y - 6 = -3(x - (-1))\) and both of them should equal to each other.
anonymous
  • anonymous
oh yeah i forgot (- x -= +)
anonymous
  • anonymous
Okay thank you for the help :)
mathmale
  • mathmale
How would you now check your answer (y-6=-3(x+1) )? Take the coordinates of the given point and substitute them back into your equation (above). Is the equation then true? If so, your solution is correct. If not, it's not.
DanJS
  • DanJS
if someone wrote a master thread that always stays under the ask questions box, and showed forming linear equations , i think we may be out of business here
anonymous
  • anonymous
Thank you all for your help
calculusxy
  • calculusxy
You're very welcome !

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