What is an equation of the line that passes through the points (3, -1) and (-3, 1)

Answer 1

(3,-1) and (-3,1) are two points symmetrical about the origin (0,0)

they have a line through them with slope = rise over run = change in y over change in x

= (1+1)/(-3-3) = -2/6 = -1/3

the line is

y +1 = (-1/3)(x-3) in point slope form

or more compactly

x+3y = 0 in standard form