Questions: Find the graph for this direct variation equation. y=x

Find the graph for this direct variation equation. y=x
Transcript text: Find the graph for this direct variation equation. \[ y=x \]
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Solution

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Solution Steps

Step 1: Analyze the equation

The given equation is y = x. This is a linear equation with a slope of 1 and a y-intercept of 0. This means the line passes through the origin (0,0) and for every 1 unit increase in x, y also increases by 1 unit.

Step 2: Evaluate the graphs

The middle graph represents the equation y = x. It passes through the origin and has the correct slope. The first graph is y=1, and the third represents y=-x.

Final Answer

The middle graph.

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