Which equation represents a proportional relationship? a. y=15x b. y=−x c. y=−5(x+1) d. y = 5x + 1

Answer:[tex]y=15x[/tex][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 a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origincase A) [tex]y=15x[/tex]Is a linear equation that passes through the origintherefore The case A) represent a proportional relationshipcase B) [tex]y=-x[/tex]Is a linear equation that passes through the origintherefore The case B) represent a proportional relationshipcase C) [tex]y=-5(x+1)[/tex]Is a linear equation but not passes through the origintherefore The case C) does not represent a proportional relationshipcase D) [tex]y=5x+1[/tex]Is a linear equation but not passes through the origintherefore The case D) does not represent a proportional relationship