Question

Which equation shows the point-slope form of the line that passes through (3, 2) and has a slope of ?

y + 2 =(x + 3)
y – 2 = (x – 3)
y + 3 = (x + 2)
y – 3 = (x – 2)

Answer 1

we know that

the equation of the line into point-slope is equal to

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

in this problem we have

`(x1,y1)=(3,2)`

`m=1`

substitute in the equation

`y-2=1*(x-3)`

`y-2=(x-3)`

therefore

the answer is the second option

`y-2=(x-3)`

Answer 2

All of the answer choices have a slope of 1, so we assume that is the slope you want.

The point-slope form for slope m and point (h, k) is

... y -k = m(x -h)

The only equation in this form for your point is ...

... y - 2 = (x - 3)