Aline passes through the point (0, 5) and has a slope of -1 2 . which is the equation of the line in slope-intercept form? a) 2x + y = 7 b) y = 3x + 5 c) y = -2x + 7 d) y = -1 2 x + 5

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.