Question

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

Answer 1

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

$m=\frac{y2-y1}{x2-x1}$

Substitute the values

$m=\frac{-1-5}{1+3}$

$m=\frac{-6}{4}$

$m=-\frac{3}{2}$

Find the equation of the line

Substitute the value of the slope and the point B

$y-(-1)=-\frac{3}{2}(x-1)$

$y+1=-\frac{3}{2}(x-1)$

therefore

the answer is the option

$y+1=-\frac{3}{2}(x-1)$

Answer 2

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