Question

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

A. y+1=32(x−1)
B. y+1=−32(x−1)

Answer 1

the answer is Y+1=-32(x-1)

Answer 2

Let

`A(-3,5)\ B(1,-1)`

we know that

The equation of the line into point slope form is equal to

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

Find the slope of the line AB

The slope is equal to

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

Substitute the values

`m=(-1-5)/(1+3)`

`m=(-6)/(4)`

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

Find the equation of the line

Substitute the value of the slope and the point B

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

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

therefore

the answer is the option

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