Вопрос:

The user wants to match graphs to formulas.

Смотреть решения всех заданий с листа

Ответ:

Matching Graphs to Formulas

Let's analyze each graph and formula to find the correct matches.

Graph A

  • The line passes through (0, 4) and (2, 0).
  • The y-intercept is 4.
  • The slope is (0 - 4) / (2 - 0) = -4 / 2 = -2.
  • Therefore, the equation is y = -2x + 4. This matches formula 3.

Graph B

  • The line passes through (0, 4) and (-2, 0).
  • The y-intercept is 4.
  • The slope is (0 - 4) / (-2 - 0) = -4 / -2 = 2.
  • Therefore, the equation is y = 2x + 4. This matches formula 4.

Graph C (Б)

  • The line passes through (0, -2) and (4, 0).
  • The y-intercept is -2.
  • The slope is (0 - (-2)) / (4 - 0) = 2 / 4 = 1/2.
  • Therefore, the equation is y = (1/2)x - 2. This matches formula 2.

Graph D (Г)

  • The line passes through (0, 2) and (-4, 0).
  • The y-intercept is 2.
  • The slope is (0 - 2) / (-4 - 0) = -2 / -4 = 1/2.
  • Therefore, the equation is y = (1/2)x + 2. However, the graph visually shows a negative slope. Let's re-examine the grid points.
  • Graph D appears to pass through (0, 2) and (4, 0). This would give a slope of (0-2)/(4-0) = -2/4 = -1/2.
  • The equation would be y = (-1/2)x + 2. This matches formula 1.

The table should be filled as follows:

А Б В Г
3 2 4 1

Ответ:

А Б В Г
3 2 4 1
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