Final answer:
The function y=2x is a linear equation because it can be represented in the standard form y=mx+b, where the slope m is 2 and the y-intercept b is 0, producing a straight line as a graph.
Step-by-step explanation:
The function y=2x is a linear function. According to the standard form of a linear equation, y = mx + b, the variable 'm' represents the slope of the line, and 'b' is the y-intercept. In the equation y=2x, the slope (m) is 2, and since there is no added or subtracted value, the y-intercept (b) is 0. This indicates that the graph of this equation would be a straight line that crosses the origin (0,0) and rises two units for every one unit it runs along the x-axis, reinforcing its classification as a linear equation. Linear equations can be represented graphically as a straight line and are used to demonstrate relationships where the dependent variable changes at a constant rate with respect to the independent variable.