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

Hi Nikki;

(2,5) and (6,6)

First, we must establish slope...

m=(y-y

_{1})/(x-x_{1})m=(5-6)/(2-6)

m=(-1)/(-4)

m=1/4

Point-slope formula is...

y-y

_{1}=m(x-x_{1})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