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:
Ответ: