Which equation represents the function shown on the graph? y = x y = x y = 2x y = 4x

Since the line goes through the points (0, 0) and (1, 4), the equation that applies is ...
   y = 4x

ANSWER

The equation is



EXPLANATION

The given function goes through the origin so its equation is of the form



where m is the slope of the graph of the function.

Since the straight line goes through



we can use these points to determine the slope using the slope formula



This implies that,





We substitute the slope into the formula to get,


as the required equation.

Therefore the correct answer is D.

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