Questions: slope: 0, ordered pair: (-5, -6)

Solution Steps

To find the equation of a line given the slope and an ordered pair, we can use the point-slope form of the equation of a line, which is \( y - y_1 = m(x - x_1) \). Here, \( m \) is the slope, and \( (x_1, y_1) \) is the given point. Since the slope is 0, the line is horizontal, and the equation simplifies to \( y = y_1 \).

1. Identify the slope \( m \) and the ordered pair \( (x_1, y_1) \).
2. Use the point-slope form of the equation of a line.
3. Simplify the equation to the form \( y = y_1 \).

We are given the slope \( m = 0 \) and the ordered pair \((-5, -6)\).

The point-slope form of the equation of a line is: \[ y - y_1 = m(x - x_1) \] Substituting the given values: \[ y - (-6) = 0(x - (-5)) \]

Since the slope \( m = 0 \), the equation simplifies to: \[ y + 6 = 0 \] \[ y = -6 \]

Final Answer