Question

Which equation is a point slope form equation for line AB ?

y−3=2(x−2)

y+2=2(x+3)

y−5=2(x−6)

y−6=2(x−5)

Answer 1

y−6=2(x−5)

Explanation:

i took the test

Answer 2

Option D) y−6=2(x−5)

Explanation:

see the attached figure to better understand the problem

we have the ordered pair A( 3,2) and B(5,6)

Find the slope

The formula to calculate the slope between two points is equal to
`m=(y2-y1)/(x2-x1)`

substitute the values

`m=(6-2)/(5-3)`

`m=(4)/(2)`

`m=2`

Find the equation in point slope form

`y-y1=m(x-x1)`

we have

`m=2`

`point\ (5,6)`

substitute

`y-6=2(x-5)`