Question

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

Answer 1

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)

Answer 2

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

$y-2=(x-3)$