Which equation represents a proportional relationship?

Answer: [tex]y=-x[/tex]Step-by-step explanation:we know thatA relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form [tex]y/x=k[/tex] or [tex]y=kx[/tex]In the proportional relationship the constant of proportionality k is equal to the slope m and the line passes through the origincase A) [tex]y=-x[/tex]Is a linear equation that passes through the originthereforeRepresent a proportional relationshipcase B) [tex]y=-5(x+1)[/tex]Is a linear equation but not passes through the originthereforeNot represent  a proportional relationshipcase C) [tex]y=1/(5x)[/tex]Is a inverse variationcase D) [tex]y=5x+1[/tex]Is a linear equation but not passes through the originthereforeNot represent  a proportional relationship