PLEASE HELP ASAP I NEED THIS NOW Sara graphs a line passing through points that represent a proportional relationship. Which set of points could be on the line that Sara graphs?A). (2,4),(0,2),(3,9)B). (6,8),(0,0),(18,24)C). (3,6),(4,8),(9,4)D). (1,1),(2,1),(3,3)​

Answer: Option B.Step-by-step explanation: By definition, the graph of a proportional relationships is a straight line that passes through the origin (Remember the the origin is at [tex](0,0)[/tex]). Then, the equation have the following form: [tex]y=kx[/tex] Where "k" is the constant of proportionality (or its slope) Then, since the Sara graphs a line that represent a proportional relationship, you can conclude that the line must pass through the point [tex](0,0)[/tex]. Then: The set of points in Option A could not be on that line, because when [tex]x=0,y=2[/tex] The set of points [tex](6,8),(0,0),(18,24)[/tex] (Given in Option B) could be on the line that Sara graphs, because it has the point [tex](0,0)[/tex] For the set of points shown in Option C and Option D, you can check if the slope is constant: [tex]C)\ slope=\frac{y}{x}\\\\a)\ slope=\frac{6}{3}=2\\\\b)\ slope=\frac{8}{4}=2\\\\c)\ slope=\frac{4}{9}[/tex] Since the slope is not constant, this set of ponts could not be on the line.  [tex]D)\ slope=\frac{y}{x}\\\\a)\ slope=\frac{1}{1}=1\\\\b)\ slope=\frac{1}{2}[/tex]  Since the slope is not constant, this set of ponts could not be on the line.