(6.04)The equation of the line of best fit of a scatter plot is y = 6x − 9. What is the slope of the equation?

Write an equation in standard form for the line that passes through the point (2,-3) and is perpendicular to the line y + 4 = -2

sineoko [7]

For this case we have that by definition, the standard form of a linear equation is given by:

$ax + by = c$

By definition, if two lines are perpendicular then the product of their slopes is -1. That is to say:

$m_ {1} * m_ {2} = - 1$

We have the following point-slope equation of a line:

$y+4 = -\frac {2} {3}(x-12)$

The slope is:

$m_ {1} = - \frac {2} {3}$

We find the slope $m_ {2}$ of a perpendicular line:

$m_ {2} = \frac {-1}{m_ {1}}\\m_ {2} = \frac {-1} {-\frac {2} {3}}\\m_ {2} = \frac{3} {2}$

Thus, the equation is of the form:

$y-y_ {0} = \frac {3} {2} (x-x_ {0})$

We have the point through which the line passes:

$(x_ {0}, y_ {0}) :( 2, -3)$

Thus, the equation is:

$y - (- 3) = \frac {3} {2} (x-2)\\y + 3 = \frac {3} {2} (x-2)$

We manipulate algebraically:

$y + 3 = \frac{3} {2} x- \frac {3} {2} (2)\\y + 3 = \frac{3} {2} x-3$

We add 3 to both sides of the equation:

$y + 3 + 3 = \frac {3} {2} x\\y + 6 = \frac {3} {2} x$

We multiply by 2 on both sides of the equation:

$2(y + 6) = 3x\\2y + 12 = 3x$

We subtract 3x on both sides:

$2y-3x + 12 = 0$

We subtract 12 from both sides:

$2y-3x = -12$

ANswer:

$-3x + 2y = -12$

5 0

3 years ago

Carpetland salespersons average $8,000 per week in sales. Steve Contois, the firm’s vice president, proposes a compensation plan

olya-2409 [2.1K]

Answer with Step-by-step explanation:

Since we have given that

Average per week in sales = $8000

Steve hopes that the results of a trial selling period will enable him to conclude that the compensation plan increase the average sales per salesperson

So, the appropriate null and alternate hypothesis would be

$H_0:\mu=8000\\\\H_a:\mu>8000$

b. What is the Type I error in this situation? What are the consequences of making this error?

Type 1 error are those errors in which null hypothesis are supposed to be rejected, but it does not get rejected.

It means sales per week is greater than $8000 but in actual it is not.

c. What is the Type II error in this situation? What are the consequences of making this error?

Type 2 are error are those errors in which null hypothesis are supposed to be accepted but it get rejected.

It means average sales per week is actually $8000 but it is calculated that average sales is less than $8000.

3 0

3 years ago

A library raised $4,508. The library wants to buy as many books as it can. Each box coat $17. How many books can it buy?

Vedmedyk [2.9K]

Answer:

4,508dividido 17

Step-by-step explanation:

5 0

3 years ago

-3(2b-7) in stander from asap

3241004551 [841]

Answer:

Step-by-step explanation:

= > - 3 ( 2b - 7 )

= > - 6b + 21

<h3>Hope it helps you!</h3>

6 0

2 years ago

How do you solve x- 17 =23

Reptile [31]

x-17= 23

move -17 to the other side

sign changes from -17 to +17

x-17+17= 23+17

x= 23+17

Answer:

x= 40

8 0

3 years ago

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