Use the table to answer the question: which direction is the slope on the force/acceleration graph for the given values
slope is equal to zero
positive THIS ONE
negative
there is no relationship between force and acceleration
Force (N)
2
4
9
Acceleration (M/s2)
7
14
31.5
To determine the direction of the slope on the force/acceleration graph, you need to observe how the force and acceleration values change. The slope represents the ratio of the change in the y-axis values (force) to the change in the x-axis values (acceleration).
Looking at the given values:
Force (N): 2, 4, 9
Acceleration (M/s2): 7, 14, 31.5
To find the slope, you can choose any two points from the data and calculate the change in the y-axis (force) divided by the change in the x-axis (acceleration). If this ratio is positive, the slope will be positive. If the ratio is negative, the slope will be negative. If the ratio is zero, the slope will be zero.
Let's consider the first two points (2,N and 7,M/s2):
Slope = (Change in force) / (Change in acceleration) = (4 - 2) / (14 - 7) = 2 / 7
Since the ratio is positive (2/7 > 0), the slope is positive.
Therefore, the direction of the slope on the force/acceleration graph for the given values is positive.