### All High School Math Resources

## Example Questions

### Example Question #1 : Identifying Slope At A Point

Find the slope of the line tangent to the -intercept of the parabola:

**Possible Answers:**

**Correct answer:**

Explanation:

To find the slope of a line tangent to a parabola at a specific point, find the derivative of the parabola's equation, then substitute the -coordinate of the specific point in the new equation.

In this case, it helps to expand the equation before taking the derivative:

Now take the derivative of the expanded equation:

Since the -intercept is the point where the -coordinate is , substitute into the equation for .

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### All High School Math Resources

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