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Use the four-step process to find the slope of the tangent line to the graph of the given function at any point.
Yes, the derivative of an equation is the slope of a line tangent to the graph.
You find the slope of the tangent to the curve at the point of interest.
The tan [tangent] function.When a function has two or more brakes, this is not a continuous function, but it can be a continuous function in some intervals such as the tangent does.
This depends on what the graph represents. If it is a graph of velocity on the vertical and time on the horizontal, then if acceleration is at a constant rate, the graph will be a straight line with positive slope (pointing 'up'). If acceleration stops, then the graph will be a horizontal line (zero acceleration or deceleration). If it is deceleration (negative acceleration), then the graph will have negative slope (pointing down).