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3 years ago

Slope=-7, through (-3,2)

Mathematics

1 answer:

shutvik [7]3 years ago

6 0

Answer:

<u>Final equation: y = -7x -19 </u>

Step-by-step explanation:

You are looking for slope intercept correct?

Formula: y = mx + B

Y = y-value of point ( coordinates )

M = slope

X = x - value of point ( coordinates )

B = Y - intercept

Equation:

2 = -7(-3) + B

2 = 21 + B

-21 = -21 = B

------------------

-19 = B

Final equation: y = -7x -19

Unless if it asks you to plug back the numbers for anything else then you do that but this is how you get slope intercept.

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Enter a recursive rule for the geometric sequence. 6, −18, 54, −162, ...

svlad2 [7]

Answer:

The required recursive formula is:

$a_n=(-3)\times a_{n-1}$

Step-by-step explanation:

We are given a geometric sequence as:

6,-18,54,-162,.....

Clearly after looking at different terms of the sequence we could observe that the sequence is an geometric progression (G.P.) with common ratio= -3 denoted by r.

Let $a_n$ represents the nth term of the sequence.

This means that:

$a_1=6, a_2=-18, a_3=54, a_4=-162,......$

As the common ratio is -3.

so,

$a_1=6\\\\a_2=-18=(-3)\times a_1\\\\a_3=54=(-3)\times a_2\\\\.\\.\\.\\.\\.\\.\\.\\.\\.a_n=(-3)\times a_{n-1}$

Hence, the required recursive formula for the geometric sequence is:

$a_n=(-3)\times a_{n-1}$

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