SOLUTION: Find the equation of a line in slope-intercept from that passes through the points (6,5) and (4,1). I don't want just the answer, I would like to actually learn how to work this

Question 648780: Find the equation of a line in slope-intercept from that passes through the points (6,5) and (4,1).
I don't want just the answer, I would like to actually learn how to work this out myself. Just need help and steps to do so.
Answer by rfer(16322) (Show Source): You can put this solution on YOUR website!
First find slope
m=(1-5)/(4-6)
m=-4/-2
m=2
-----------------
now use y=mx+b to find the y intercept
use either ordered pair
1=2*4+b
1=8+b
-7=b
--------------------
now you have it
y=2x-7
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