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

slope: 0, ordered pair: (-5, -6)
Transcript text: slope: 0 , ordered pair: $(-5,-6)$
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Solution

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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 \( y = y_1 \).

Solution Approach
  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 \( y = y_1 \).
Step 1: Identify the Given Values

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

Step 2: Use the Point-Slope Form

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

Step 3: Simplify the Equation

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

Final Answer

\(\boxed{y = -6}\)

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