how to determine the slope of a graph

Answer 1

To determine the slope of a graph, you can follow these steps:

1. Choose two points on the graph that are easy to read their coordinates.
2. Use these two points to calculate the change in the y-values (vertical change) and the change in the x-values (horizontal change).
3. Calculate the slope by dividing the change in the y-values by the change in the x-values. This can be expressed as: slope = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.
4. The resulting value is the slope of the graph. If the slope is positive, the graph is increasing; if it is negative, the graph is decreasing.

Alternatively, you can also use calculus to find the slope of a graph by taking the derivative of the function that represents the graph. The derivative will give you the slope at any point on the graph.