What quantity is given by the gradient of such a graph?
Incomplete.
The gradient of a graph represents the rate of change of the dependent variable (y-axis) with respect to the independent variable (x-axis). It gives the slope or steepness of the graph at a particular point. The gradient is also known as the "slope" or "derivative" of the function represented by the graph.
The quantity given by the gradient of a graph is the rate of change of the dependent variable with respect to the independent variable. In other words, it represents how the dependent variable changes as the independent variable changes.
To calculate the gradient of a graph, you need to consider two points on the graph and find the change in the dependent variable divided by the change in the independent variable between those two points. The gradient is essentially the slope of the line connecting those two points.
For example, if you have a graph representing the distance traveled over time, the gradient would give you the speed at which the object is moving. If you have a graph representing temperature against time, the gradient would give you the rate at which the temperature is changing.
To find the gradient mathematically, you can use the formula:
gradient = (change in y) / (change in x)
where "y" represents the dependent variable and "x" represents the independent variable.
Note that the gradient can also be positive, negative, or zero, indicating whether the dependent variable is increasing, decreasing, or remaining constant with respect to the independent variable.