The problem asks us to determine whether the equation $y = x$ is proportional or not.

AlgebraProportionalityLinear EquationsDirect Variation
2025/4/16

1. Problem Description

The problem asks us to determine whether the equation y=xy = x is proportional or not.

2. Solution Steps

A proportional relationship between two variables, xx and yy, can be represented by the equation:
y=kxy = kx
where kk is the constant of proportionality. A key characteristic of a proportional relationship is that the graph of the equation is a straight line passing through the origin (0,0)(0, 0).
The given equation is y=xy = x.
We can rewrite this equation as y=1xy = 1 \cdot x.
Comparing this with the general form of a proportional relationship y=kxy = kx, we see that k=1k = 1. Since the equation is in the form y=kxy = kx, it represents a proportional relationship. Also, when x=0x = 0, y=0y = 0, so the line passes through the origin.

3. Final Answer

Proportional

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