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tangare [24]
3 years ago
9

What is the equation in point slope form of the line that passes through the point (-1, -3) and has a slope of 4?

Mathematics
1 answer:
AnnZ [28]3 years ago
7 0

Answer:

\displaystyle y + 3 = 4(x + 1)

Step-by-step explanation:

In the Point-Slope Formula [<em>y</em> - <em>y</em>₁ = <em>m</em>(<em>x</em> - <em>x</em>₁)], all the negative symbols give the OPPOSITE terms of what they really are, so be EXTREMELY CAREFUL inserting the coordinates into the formula with their CORRECT SIGNS.

I am joyous to assist you anytime.

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3 years ago
What is the common ratio of the geometric sequence below? –2, 4, –8, 16, –32, ...
SOVA2 [1]

Answer:

The common ratio of the geometric sequence is:

r=-2

Step-by-step explanation:

A geometric sequence has a constant ratio 'r' and is defined by

a_n=a_1\cdot r^{n-1}

where

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  • a₁ is the first term
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Given the sequence

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\frac{4}{-2}=-2,\:\quad \frac{-8}{4}=-2,\:\quad \frac{16}{-8}=-2,\:\quad \frac{-32}{16}=-2

The ratio of all the adjacent terms is the same and equal to

r=-2

Therefore, the common ratio of the geometric sequence is:

  • r=-2
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2 years ago
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RoseWind [281]

Answer:

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Step-by-step explanation:

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