A proportional relationship is shown in the table below:xxx 000 111 222 333 444yyy 000 333 666 999 121212What is the slope of the line that represents this relationship?\qquadspaceGraph the line that represents this relationship.

Answer:The slope is [tex]m=3[/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 origin Let [tex]A(1,3)[/tex] ------> from the given tableFind the value of k[tex]k=y/x[/tex]substitute the values[tex]k=3/1=3[/tex]The linear equation is[tex]y=3x[/tex]using a graphing toolsee the attached figure