steve816
  • steve816
It has been 4 hours. My hope is slowly diminishing. Please MAYDAY! MAYDAY! Find the equation of a line containing the points S(-3,4) and T(6,-7) in slope-intercept, standard, and point-slope form.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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jim_thompson5910
  • jim_thompson5910
what slope did you get?
steve816
  • steve816
actually I think it's -9/11
jim_thompson5910
  • jim_thompson5910
yes

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jim_thompson5910
  • jim_thompson5910
no you had it right the first time
steve816
  • steve816
oh -11/9
steve816
  • steve816
So what do I do from here?
jim_thompson5910
  • jim_thompson5910
\[\Large m = \frac{y_2-y_1}{x_2-x_1}\] \[\Large m = \frac{-7-4}{6-(-3)}\] \[\Large m = \frac{-7-4}{6+3}\] \[\Large m = \frac{-11}{9}\]
jim_thompson5910
  • jim_thompson5910
now you use one of the points along with the slope
steve816
  • steve816
Yes thank you for that.
jim_thompson5910
  • jim_thompson5910
and plug them into the point slope form \[\Large y - y_1 = m(x-x_1)\]
steve816
  • steve816
how do I find the y intercept?
jim_thompson5910
  • jim_thompson5910
\[\Large y - y_1 = m(x-x_1)\] \[\Large y - y_1 = -\frac{11}{9}(x-x_1)\] \[\Large y - 4 = -\frac{11}{9}(x-(-3))\] \[\Large y - 4 = -\frac{11}{9}(x+3)\] In Step 2, I plugged in the slope In Step 3, I plugged in one of the given points. In this case, I used (-3,4)
jim_thompson5910
  • jim_thompson5910
so hopefully you see how I got the point slope form equation
steve816
  • steve816
Wow, brilliant!
steve816
  • steve816
but how do I find the b value in slope-intercept form?
jim_thompson5910
  • jim_thompson5910
now isolate y and convert the equation into y = mx+b form
jim_thompson5910
  • jim_thompson5910
also you'll have to distribute the -11/9 through
steve816
  • steve816
Alright thanks!
jim_thompson5910
  • jim_thompson5910
as for standard form, you have to convert to Ax + By = C form
jim_thompson5910
  • jim_thompson5910
A,B,C are whole numbers
steve816
  • steve816
Yes I understand how to do this from there! Thanks so much, really appreciate it.
jim_thompson5910
  • jim_thompson5910
you're welcome

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