Part of a line is graphed. Which inequalities could des

1 answer

It seems like your question got cut off. However, if you are asking about how to represent a line on a graph with inequalities, here's a general approach:

  1. Identify the Equation of the Line: Often, a line can be expressed in the form of \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept.

  2. Determine the Type of Inequality:

    • Use \( < \) or \( > \) if the line is not included in the solution (dashed line).
    • Use \( \leq \) or \( \geq \) if the line is included in the solution (solid line).
  3. Choose the Appropriate Direction:

    • If you want the area above the line, use \( y > mx + b \) or \( y \geq mx + b \).
    • If you want the area below the line, use \( y < mx + b \) or \( y \leq mx + b \).
  4. Graphing the Inequality:

    • Graph the line according to its equation.
    • Use a dashed line for \( < \) or \( > \) and a solid line for \( \leq \) or \( \geq \).
    • Shade the appropriate area above or below the line.

If you provide more details about the specific line or inequalities you are dealing with, I could give you more tailored guidance!