SOLUTION: I do not know that much about algebra.so how can you teach me how to find the stright line that pssses through the given pair points please show all work. (5,6)and (-3,1)

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Question 306151: I do not know that much about algebra.so how can you teach me how to find the stright line that pssses through the given pair points please show all work.
(5,6)and (-3,1)
Found 2 solutions by nospmoht, josmiceli:
Answer by nospmoht(3) About Me  (Show Source):
You can put this solution on YOUR website!
That's all good man, don't worry, you'll get it in no time. I'll try to make this easy to understand and remember aight? Here it goes.

First you have to find the slope of the two points. The equation for this is:
y2-y1
-----
x2-x1

If you plug in the points you gave me, it would look like this:
1-6
----
-3-5

5
--
8

Then, you plug this and one of your points in with the equation y-y1=m(x-x1) like this:
y-6 = 5/8 (x-5)

And there's your equation. I hope I helped you man. Ask me anything else if you have anymore questions. Good luck :)

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The formula is

where
(x1,y1) = (5,6)
(x2,y2) = (-3,1)
%28y+-+1%29%2F%28x+-+%28-3%29%29+=+%286+-+1%29%2F%285+-+%28-3%29%29
%28y+-+1%29%2F%28x+%2B+3%29+=+%286+-+1%29%2F%285+%2B+3%29
%28y+-+1%29%2F%28x+%2B+3%29+=+5%2F8
y+-+1+=+%285%2F8%29%2A%28x+%2B+3%29
y+-+1+=+%285%2F8%29%2Ax+%2B+15%2F8
y+=+%285%2F8%29%2Ax+%2B+23%2F8 answer
check:
does line go through the points?
(5,6)
6+=+%285%2F8%29%2A5+%2B+23%2F8
6+=+25%2F8+%2B+23%2F8
6+=+48%2F8
6+=+6
OK
(-3,1)
1+=+%285%2F8%29%2A%28-3%29+%2B+23%2F8
1+=+-15%2F8+%2B+23%2F8
1+=+8%2F8
1+=+1
OK