find the equation that represents the proportional relationship in this graph, for ( y ) in terms of ( x ).

find the equation that represents the proportional relationship in this graph, for ( y ) in terms of ( x ).

find the equation that represents the proportional relationship in this graph, for ( y ) in terms of ( x ).

Answer

Explanation:

Step1: Recall the proportional relationship formula

The equation for a proportional relationship is ( y = kx ), where ( k ) is the constant of proportionality.

Step2: Find the value of ( k )

From the graph, when ( x = 1 ), ( y = 2 ). Substitute into ( y = kx ): ( 2=k\times1 ), so ( k = 2 ).

Answer:

( y = 2x )