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3 years ago

What is the equation of the line that passes through the point (-6, -2) and has a slope of 1/6

Mathematics

1 answer:

Levart [38]3 years ago

4 0

<h2>Answer:</h2>

Step 1: Determine b by using the point (-6,-2), the given slope, and the slope intercept formula, y = mx + b.

$y = mx + b\\\\-2 = \frac{1}{6}(-6) + b\\\\-2 = -1 + b\\\\-1 = b$

Step 2: Now that we have b, we can determine the equation of the line.

$y = \frac{1}{6}x -1$

I didn't use + (-1) because b is negative. Therefore you need to change the equation from y = 1/6x + (-1) to y = 1/6x - 1.

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Annie made fruit punch for 12 people. The punch contains sparkling water and 2/3 pint of fruit juice per person. If there are 10

kotykmax [81]

Answer:

12·(2/3 + x) = 10 2/5 --> x = 1/5

Annie add 1/5 pints of sparkling water per person.

7 0

3 years ago

OK someone texted me more details needed so here you go

Nat2105 [25]

Answer: 522.2

Step-by-step explanation:

If you divide the distance in miles by the time you get 95 which in this case is the constant rate therefore you would have to multiply 95 by 5.5 in order to get the answer which would be 522.2.

6 0

3 years ago

At a certain hospital 39080 patients had their falls reported in the winter of 2004, thisrose to 42045 patients in the winter of

Natali [406]

Answer:

Percentage rise in patients from 2004 to 2014 = 7.59%

Explanation:

The number of patients in 2004 = 39080

The number of patients in 2014 = 42045

Increase in the number of patients = (The number of patients in 2014) - (The number of patients in 2004)

Rise in the number of patients = 42045 - 39080

Rise in the number of patients = 2965

$\begin{gathered} \text{Percentage rise in patients = }\frac{\text{Rise in the number of patients}}{\text{Number of patients in 2004}}\times100 \\ Percentage\text{ rise in patients = }\frac{2965}{39080}\times100 \\ \text{Percentage rise in patients = }7.59\text{ \%} \end{gathered}$

Percentage rise in patients from 2004 to 2014 = 7.59%

4 0

1 year ago

A bike rental company rented out 6 bikes in its first month. The number of bikes it rented tripled each month.

Alexeev081 [22]

Hi there!

The total number of bikes rented is 2,184

If you plug in the correct numbers into the formula

$a \dfrac{1- r^{n} }{1-r}$

Then you get

$6 \dfrac{1- 3^{6} }{1-3}$

And when the fraction is simplified it looks like this

$6 \dfrac{-728}{-2}$

Once this is in simplified form you take the 6 and put it over 1 like so

$\dfrac{6}{1} * \dfrac{-728}{-2}$

Then you find the prime factors of 6 and factor the -2 like so

$\dfrac{3*2}{1} * \dfrac{-728}{-1*2}$

Once this is done cancel out the 2

$\dfrac{3}{1} * \dfrac{-728}{-1}$

Then multiply -728 by 3

$\dfrac{-2184}{-1}$

Then divide to get 2184

Your friend, ASIAX

7 0

3 years ago

Read 2 more answers

Slope is 4,and (-3,0) is on the line.

Vlad [161]

Answer:

The equation would be y=4x-3

4 0

3 years ago