Line segment ab has endpoints a(1, 2) and b(5,3). find the coordinates of the point that divides the line segment directed from a to b in the ratio of 1: 3.

c. 4 1/4 pounds

1/5^2 = 7.56/45

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.