Вопрос:

The task is to match the signs of the coefficients k and b with the graphs of the functions y = kx + b. The graphs are numbered 1, 2, and 3. The coefficient options are A) k < 0, b < 0; Б) k < 0, b > 0; В) k > 0, b < 0. The answer should be a sequence of graph numbers corresponding to the coefficients in the order A, Б, В.

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Ответ:

Analysis of Coefficients and Graphs:

  • The coefficient 'k' represents the slope of the line. If k > 0, the line slopes upwards from left to right. If k < 0, the line slopes downwards from left to right.
  • The coefficient 'b' represents the y-intercept, which is the point where the line crosses the y-axis. If b > 0, the line crosses the y-axis above the origin. If b < 0, the line crosses the y-axis below the origin.

Matching Coefficients to Graphs:

  • Option A) k < 0, b < 0: This means the line slopes downwards (k < 0) and crosses the y-axis below the origin (b < 0). This matches Graph 1.
  • Option Б) k < 0, b > 0: This means the line slopes downwards (k < 0) and crosses the y-axis above the origin (b > 0). This matches Graph 2.
  • Option В) k > 0, b < 0: This means the line slopes upwards (k > 0) and crosses the y-axis below the origin (b < 0). This matches Graph 3.

Answer: The numbers of the graphs corresponding to the coefficients in the order A, Б, В are 123.

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