Question

choose the point-slope form of the equation below that represents the line that passes through the points (−3, 2) and (2, 1). y 3 = −5(x − 2) y − 2 = −5(x 3) y 3 = −one fifth(x − 2) y − 2 = −one fifth(x 3)

Answer 1

Hello,

y-2=(1-2)/(2+3)*(x+3)
==>y-2=-1/5 (x+3)

Answer D

Answer 2

we know that

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

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

so

Step
`1`

Find the slope m

the slope is equal to

`m=((y2-y1))/((x2-x1))`

Let

`A(-3,2)\\ B(2,1)`

`m=((1-2))/((2+3))`

`m=-(1)/(5)`

Step
`2`

with m and point A find the equation of the line

`y-2=-(1)/(5)(x+3)`

therefore

the answer is

the point-slope form of the equation is equal to

`y-2=-(1)/(5)(x+3)`