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The slope of a curved line at a point is the slope of the tangent to the curve at that point.
If you know the equation of the curve and the curve is well behaved, you can find the derivative of the equation of the curve. The value of the derivative, at the point in question, is the slope of the curved line at that point.
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What does the slope of the line on a posiition vs time graph tell you about an objects speed?
Slope at any point is speed. if slope is constant (staight line)then speed is constant; if curved up speed is accelerating. If curved down it is decelerating
The slope of a curved line differs from that of a straight line in that?
Slope of a straight line is the same at all points on the line, whereas for a curved line it changes.
What type of line would be impossible to find using the point slope form method?
A line whose slope is not constant or not defined. A curved line, a discontinuous line, a vertical line are some examples.
Does a curved line have a fixed value for its slope in economics?
No. This is true for any curved line, not just in economics.
What is a slope when dealing with graph?
The slope for a straight line graph is the ratio of the amount by which the graph goes up (the rise) for every unit that it goes to the right (the run). If the graph goes down, the slope is negative. For a curved graph, the gradient at any point is the slope of the tangent to the graph at that point.
