The slope of a curve at any point is given by this formula:
A)The change in y coordinates between two points divided by the change in their x coordinates.
B)The change in x coordinates between two points divided by the change in their y coordinates.
C)The percentage change in y coordinates between two points divided by the percentage change in their x coordinates.
D)The percentage change in x coordinates between two points divided by the percentage change in their y coordinates.

Question

Quizplus · Accepted Answer

The slope of a curve at any point is defined as the change in y-coordinates between two points divided by the change in their x-coordinates. This is commonly known as the rise over run formula, and it gives the slope of the line between the two points. For a curve, we take the limit of this formula as the two points get closer and closer together, which gives us the slope of the curve at that point. Therefore, the correct choice is A) The change in y coordinates between two points divided by the change in their x coordinates.

The Slope of a Curve at Any Point Is Given