3 years ago

What is the slope intercept form of the linear equation that passes through the point (0, 9) and has a slope of -6?

Mathematics

1 answer:

STALIN [3.7K]3 years ago

7 0

Answer:

y - 9 = -6( x - 0)

y - 9 = -6x + 0

y = -6x + 9

Step-by-step explanation:

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These tables represent an exponential function. Find the average rate of change for the interval from x=9 to x=10

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<u>ANSWER</u>

B. 39,366

<u>EXPLANATION</u>

The y-values of the exponential function has the following pattern

${3}^{0} = 1$

${3}^{1} = 3$

${3}^{2} = 9$

${3}^{3} = 27$

${3}^{x} = y$

$f(x) = {3}^{x}$

To find the average rate of change from x=9 to x=10, we simply find the slope of the secant line joining (9,f(9)) and (10,f(10))

This implies that,

$slope = \frac{f(10) - f(9)}{10 - 9}$

$slope = \frac{ {3}^{10} - {3}^{9} }{1}$

$slope = \frac{59049-19683}{1} = 39366$

Therefore the average rate of change from x=9 to x=10 is 39366.

The correct answer is B.

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3 years ago

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