SOLUTION: Write the equation of the line through the points (-12, 14) and (6, -1) in POINT-SLOPE FORM

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Question 1166656: Write the equation of the line through the points (-12, 14) and (6, -1) in POINT-SLOPE FORM
Found 2 solutions by josgarithmetic, Edwin McCravy:
Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
Pick either point; use formula for slope; put into the point-slope equation form.

y-%28-1%29=%28%28-1-14%29%2F%286-%28-12%29%29%29%28x-6%29-------------do what else you need from this.

Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
Instead of doing your problem for you, I'll do one exactly in every detail like
yours.  Use it as a model for your problem. The problem I will do is this:

find the equation of the line that passes through the point (-14,15) and
(7,-3) in POINT-SLOPE FORM
First we find the slope m using the slope-formula:

m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29 

m=%28%28-3%29-%2815%29%29%2F%28%287%29-%28-14%29%29

m=%28-3-15%29%2F%287%2B14%29

m=%28-18%29%2F%2821%29%0D%0A%0D%0A%7B%7B%7Bm=-6%2F7


Substitute (x1,y1) = (-14,15) and m = -6/7 into

y - y1 = m(x - x1)

y - (15) = (-6/7)(x - (-14))

y+-+15+=+expr%28-6%2F7%29%28x+%2B+14%29

That's it in point-slope form.  

If they had said to write your answer in slope-intercept 
form you would have had to take it further to the form y=mx+b:
 y-15=(-6/7)x-12
 y=(-6/7)x+3

Edwin