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Delicious77 [7]
3 years ago
6

What is the equation of the line that passes through the points (-6,6) and (-1,-9)

Mathematics
1 answer:
IgorLugansk [536]3 years ago
6 0

Answer:

The answer to the question provided is y = -3x - 12.

Step-by-step explanation:

❃Incase you forgot what the linear equation formula is ☟

y = mx + b

❃Incase you also forgot, what the slope formula is ☟

m = \frac{y_2 - y_1 }{x_2 - x_1}

➊ First: We are going to be solving for the slope.

m = \frac{  - 9 - 6}{ - 1 - ( - 6)} = \frac{ - 15}{ \: \: \: 5} = - 3

➋Second: We find the y-intercept.

y = mx + b \\ 6 = - 3( - 6) + b \\ 6 = 18 + b \\ \frac{  - 18 =  - 18 \: \: \: \: \:  \:  \:  \:  \:  \:  \:  \: }{ - 12 = b}

➌Third: Plug in.

y =  - 3x - 12

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3 years ago
Factor completely x^4-17x^2+16​
Snowcat [4.5K]

Answer:

(x - 1) (x + 1) (x - 4) (x + 4)

Step-by-step explanation:

actor the following:

x^4 - 17 x^2 + 16

x^4 - 17 x^2 + 16 = (x^2)^2 - 17 x^2 + 16:

(x^2)^2 - 17 x^2 + 16

The factors of 16 that sum to -17 are -1 and -16. So, (x^2)^2 - 17 x^2 + 16 = (x^2 - 1) (x^2 - 16):

(x^2 - 1) (x^2 - 16)

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x^2 - 1 = x^2 - 1^2:

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Factor the difference of two squares. x^2 - 1^2 = (x - 1) (x + 1):

Answer: (x - 1) (x + 1) (x - 4) (x + 4)

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

Argument

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Step-by-step explanation:

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