9)
seventy-five times a negative integer minus 36 equals 21 times the square of the negative integer. which equation could be used to solve for the unknown negative integer?

the answer to the question is a  

it has the same slope and the same y-intercept.

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.