The slope of the graphed line is -5, indicating a downward slope. It is computed using the coordinates (0, 2) and (-1, 7) with the formula
Δy/Δx.
Certainly, let's break down the steps to calculate the slope between two points, (0, 2) and (-1, 7):
1. Identify the coordinates:
- Point 1: (x₁, y₁) = (0, 2)
- Point 2: (x₂, y₂) = (-1, 7)
2. Find the change in y-coordinates (Δy):
- Δy = y₂ - y₁
- Δy = 7 - 2
- Δy = 5
3. Find the change in x-coordinates (Δx):
- Δx = x₂ - x₁
- Δx = (-1) - 0
- Δx = -1
4. Apply the slope formula:
- Slope (m) = Δy / Δx
- Slope = 5 / (-1)
- Slope = -5
5. Interpret the result:
- The slope of -5 indicates a negative trend. For each unit decrease in x, there is a corresponding decrease of 5 units in y.
Therefore, step by step, the correct answer is a) -5.