9. Write the equation of the line with the given properties. Express your answer in general form Ax + By = C, where A, B, and C are integers.
(a) Vertical; contains the point (4,7). (1 point)
(b) Contains the points (2,3) and (-3,-7). (3 points)
Perpendicular to the line 3x - 2y = 6; containing the point (-3,6). (5 points)

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.

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step-by-step explanation:

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