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find an equation of the line containing the given pair of points (2,5) and (6,6)

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1 Answer

Hi Nikki;
(2,5) and (6,6)
First, we must establish slope...
m=(y-y1)/(x-x1)
m=(5-6)/(2-6)
m=(-1)/(-4)
m=1/4
Point-slope formula is...
y-y1=m(x-x1)
Let's select one point.  I randomly select the first...(2,5)...
y-5=(1/4)(x-2)
y-5=(1/4)x-(1/2)
y=(1/4)x-(1/2)+(5)
y=(1/4)x+(9/2)
Let's plug-in the other value to verify...(6,6)...
6=[(1/4)(6)]+(9/2)
6=(6/4)+(9/2)
6=(3/2)+(9/2)
6=12/2
6=6