SOLUTION: Find the equation in slope-intercept form of the line through points (-2, 5) and (6, -15). Please give it step by step i want to know how to do this.

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Question 977238: Find the equation in slope-intercept form of the line through points (-2, 5) and (6, -15).
Please give it step by step i want to know how to do this.

Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
Here is HOW to do that:

Known points on a line, (u,v) and (p,r).

If m is for slope of the line, then .

Keeping in format of for slope-intercept form,
solve this for b, and choose either of your given points.
-



-
Arbitrarily using (u,v) and using the formula for b,


Putting the whole slope-intercept form equation purely in symbolic form using the two assumed given points,



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You do not really need to handle everything in complete symbolism. Just do this:

and compute this.
Recall again the formula for the y-intercept, ? Pick a given point and use the found slope m:
and compute this value of b.
-
Now you know the value of m and the value of b.
Put them into y=mx+b.
DONE.



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b is actually 0, so your equation will simply be .

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