SOLUTION: find an equation of the line containing the given pair of points (3,5) and (9,6)

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Question 250247: find an equation of the line containing the given pair of points (3,5) and (9,6)
Found 2 solutions by checkley77, mathhub:
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
(3,5) and (9,6)
Slope=(y2-y1)/(x2-x1)=(6-5)/(9-3)=1/6 ans.
Y=mX+b
5=1/6*3+b
5=3/6+b
5-1/3=b
b=15/3-1/3
b=14/3 Y intercept.
Y=X/6+14/3
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+x%2F6+%2B14%2F3%29+ (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, x/6 +14/3).

Answer by mathhub(11) About Me  (Show Source):
You can put this solution on YOUR website!
Let the point A be (3, 5)
and point B be (9, 6)
The slope of the line is given by
=+%286-5%29%2F%289-3%29
=+1%2F6
The equation of a straght line is given by
y = mx + c where m is the slope.
Thus the equation becomes
y+=+%281%2F6%29x+%2B+c
Lets put x = 3 and y = 5 in the above equation.
5+=+%281%2F6%293+%2B+c
5+=+1%2F2+%2B+c
+c+=+9%2F2
Thus he equation of the straight line joining the two points is given by
y+=+%281%2F6%29x+%2B+%289%2F2%29