To find the slope of a line segment on a graph, you need to use the formula for slope, which is:
\[ \text{slope} = \frac{\text{change in } y}{\text{change in } x} = \frac{\Delta y}{\Delta x} \]
In your case, the values will refer to distance (y) as a function of time (x).
To determine the slope of the highlighted line segment:
- Identify the two endpoints of the segment on the graph. Let's assume they are \((x_1, y_1)\) and \((x_2, y_2)\).
- Calculate the change in distance (Δy) and the change in time (Δx):
- \(\Delta y = y_2 - y_1\)
- \(\Delta x = x_2 - x_1\)
- Plug these changes into the slope formula to find the slope.
For example, if the line segment goes from (2, 1) to (4, 3):
- \(\Delta y = 3 - 1 = 2\)
- \(\Delta x = 4 - 2 = 2\)
- Slope \( = \frac{2}{2} = 1\)
Please provide the exact coordinates of the highlighted segment to calculate the slope accurately.