Questions: What's the slope of the terminal side of θ, the line passing through the origin (0,0) and the point (x, y)? Slope = rise/run

What's the slope of the terminal side of θ, the line passing through the origin (0,0) and the point (x, y)? Slope = rise/run
Transcript text: Tangent What's the slope of the terminal side of $\theta$, the line passing through the origin $(0,0)$ and the point $(x, y)$ ? Slope $=\frac{r i s e}{r u n}$
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Solution

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Solution Steps

Step 1: Identify the rise and run

The rise is the change in the y-coordinate, which is y - 0 = y. The run is the change in the x-coordinate, which is x - 0 = x.

Step 2: Calculate the slope

Slope = rise/run = y/x

Final Answer:

The slope of the terminal side of θ is y/x.

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