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how do you write y − 4 = 2(x − 6) in slope-intercept form?
a) y = x + 8
b) y = x + 10
c) y = 2x + 10
d) y = 2x − 8

D) y = 2x − 8

Step-by-step explanation:

Use the Distributive Property to convert from Point-Slope Form to Slope-Intercept Form:

y − 4 = 2(x − 6)

y − 4 = 2x − 12

+ 4 + 4

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the mistake in the pattern is that :

b. the decimal point was moved one too many place values each time

the correct pattern could be made by :

b. moving the decimal point to the right the same numbers of place values as the exponents

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.