A line passes through \( (-9,-6) \) and has an undefined slope. Write an equation of line satisfying the given conditions.

A line with an **undefined slope** is a **vertical line**. Vertical lines run parallel to the y-axis and have the same x-coordinate for every point on the line. Given the line passes through the point \((-9, -6)\), the x-coordinate of all points on this line will be \(-9\). **Equation of the Line:** \[ x = -9 \] **Explanation:** 1. **Understanding Slope:** - The **slope** of a line measures its steepness. - A **vertical line** has an undefined slope because the change in x (Δx) is zero, and division by zero is undefined. 2. **Equation of a Vertical Line:** - The general form of a vertical line is \(x = k\), where \(k\) is the constant x-value for all points on the line. 3. **Applying the Given Point:** - Since the line passes through \((-9, -6)\), the x-value for all points on the line must be \(-9\). Therefore, the equation of the line is: \[ \boxed{x = -9} \]