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

Question

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

Answer 1

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