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2 years ago

Slope equals 2 and the line goes through the point (-1, 3)

Mathematics

1 answer:

astra-53 [7]2 years ago

3 0

Answer:

Well the slope seems rather easy to calculate because you already typed it and it is 2.

First we must solve this equation:

b = y - m*x and we input values into the equation:

b = (3) - (2 * -1)

b = 5

Then, we enter the value of "b" and the slope into this equation:

y = mx +b

y = 2x + 5

Source: https://www.1728.org/distance.htm

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Step-by-step explanation:

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3 years ago

What is the closed linear form for this sequence given a1 = 0.3 and an + 1 = an + 0.75?

german

Answer:

The closed linear form of the given sequence is $a_{n}=0.75n-0.45$

Step-by-step explanation:

Given that the first term $a_{1}=0.3$ and $a_{n+1}=a_{n}+0.75$

To find the closed linear form for the given sequence

The formula for arithmetic sequence is

$a_{n}=a_{1}+(n - 1)d$ (where d is the common difference)

The above equation is of the given form $a_{n+1}=a_{n}+0.75$

Comparing this we get d=0.75

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We can substitute these values in $a_{n}=a_{1}+(n - 1)d$

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$=0.3+0.75n-0.75$

$=-0.45+0.75n$

Rewritting as below

$=0.75n-0.45$

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