The average rate of change (AROC) of a function f(x) on an interval [a, b] is equal to the slope of the secant line to the graph of f(x) that passes through (a, f(a)) and (b, f(b)), a.k.a. the difference quotient given by
So for f(x) = x² on [1, 5], the AROC of f is
The line segment AB is divided at point P, which has coordinates P(0,-7.5)
A line segment is a section of a line that connects two locations to create a straight line or we can say that is connects two distinct points together to form a single line. It is extendable to either side.
Given are,
A line segment AB with coordinates of A(0,0 ) and B(-15,0) respectively
Two minor line segments, AP and PB, are created from the line segment AB by the provided point P
We must determine the dividing point's coordinates, or P.
We'll apply the formula provided,
The coordinates of the point P are given by = (,
)
Now, x1 = 0, x2 = 0, y1 = -15, y2 = 0
Putting values in the formula, we get
(,
)
(0,-7.5)
Hence, the point P which partitions the line segment AB have coordinates as P(0,-7.5)
To learn more about Line Segment, here
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