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Studentka2010 [4]
3 years ago
7

A line has the equation 3x–4y–12=0 what is the slope of this line

Mathematics
1 answer:
Zolol [24]3 years ago
7 0

Answer:

The slope of this line is 3/4.

Step-by-step explanation:

Solving this equation 3x–4y–12=0 for y puts the equation into the form

                                            y = mx + b, where m is the slope of the line.

One way of solving for 4y here is to add 4y to both sides, obtaining:

                                           3x - 12 = 4y

Dividing all three terms by 4 yields

                                              y = (3/4)x - 3

The slope of this line is 3/4.

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Answer:

The answer is 2

Step-by-step explanation:

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6 - 4= 2

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Explicit Formula

Just in case you don't know what this is, the explicit formula is the formula that solves for any term in the series without necessarily knowing what came before the term you are solving.

<em><u>Givens</u></em>

d = t_(n + 1) - t_n  You can take any term and the next term for this part of the formula

d = t_3 - t_2

t_3 = 1

t_2 = -7

d = 1 - - 7 = 8

a = -15

<em><u>Formula</u></em>

t_n = a + (n - 1)*d

t_n = -15 + (n - 1)*8

For example find the 5th term.

t_5 = - 15 + (5 - 1)*8

t_5 = - 15 + 4 *8

t_5 = -15 + 32

t_5 = 17  Which is what you have.

Recursive Formula

Computers really like this formula. They use it in what is called a subroutine and they pass values from one part of the program to a subroutine which evaluates the given and sends the result back. I'm telling you all this so you see why you are doing it. The disadvantage of it for humans is that you must know the preceding term to use the recursive formula.  

<em><u>Formula</u></em>

t_n = t_(n - 1) + d

<em><u>Example</u></em>

t_6 = t_(6 - 1) + d

t_6 = t_5 + 8

t_6 = 17 + 8

t_6 = 25

You can check this by using the explicit formula.

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Step-by-step explanation:

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