1. The problem asks to match the equation $y=5x$ with its corresponding graph. 2. The equation $y=5x$ is a linear equation representing a straight line passing through the origin. 3. The slope of the line is 5, which means for every 1 unit increase in $x$, $y$ increases by 5 units. 4. Since option A depicts a parabola opening upwards, this cannot be the graph of $y=5x$ because linear graphs are not parabolas. 5. Therefore, the correct graph corresponding to $y=5x$ must be a straight line (not shown here explicitly but logically, the graph that is a straight line passing through the origin). Final answer: $y=5x$ corresponds to the graph of a straight line, not the parabola (option A).