Introduction:
In physics, the relationship between force and acceleration is described by Newton's second law of motion. According to this law, the force acting on an object is directly proportional to the acceleration produced in the object. Mathematically, this relationship can be expressed as an equation.

Equation:
The equation that represents the relationship between force (F) and acceleration (a) is given by:
F = m * a

Where:
F = Force acting on the object
m = Mass of the object
a = Acceleration produced in the object

Graph:
To plot the graph of this equation, we need to consider the variables F and a. Let's assume the mass of the object (m) remains constant. In that case, we can rearrange the equation to solve for acceleration:
a = F / m

Now, we can choose different values of force (F) and calculate the corresponding acceleration (a) using the equation. We can then plot these values on a graph.

Example:
Let's consider a simple example where the mass of the object is 2 kg. We will calculate the acceleration produced for different values of force.

Force (F) = 5 N
a = F / m = 5 N / 2 kg = 2.5 m/s^2

Force (F) = 10 N
a = F / m = 10 N / 2 kg = 5 m/s^2

Force (F) = 15 N
a = F / m = 15 N / 2 kg = 7.5 m/s^2

Now, we can plot these points on a graph with force (F) on the x-axis and acceleration (a) on the y-axis. We will have three points: (5, 2.5), (10, 5), and (15, 7.5). Connecting these points will give us a straight line graph.

Conclusion:
In summary, the relationship between force and acceleration is described by the equation F = m * a. The graph of this equation represents a direct proportional relationship between force and acceleration, where an increase in force leads to a corresponding increase in acceleration.