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

Answers

Answer 1

Answer:

y = 1/6x -1

Step-by-step explanation:

Use point-slope form: y - y₁ = m (x - x₁)

y - (-2) = 1/6 (x - (-6))

y + 2 = 1/6x + 1

y = 1/6x - 1

Answer 2

Answer:

[tex]y=\frac{1}{6}x-1[/tex]

Step-by-step explanation:

According to,

y = mx + c

They have already given the slope of the line.

That means they've given value for m

So,

m = [tex]\frac{1}{6}[/tex]

And now we have to find the value of c ( the intercept on the y axis) using (-6,-2)

Here,

 ( -6 , -2 )

   ↑    ↑

  ( x ,  y )

Let us find the c now.

y = mx + c

[tex]-2 =\frac{1}{6} *-6+c\\-2=\frac{-6}{6} +c\\-2=-1+c\\-2+1=c\\-1=c[/tex]

Now let's write the equation of the line like this

y = mx+ c

[tex]y=\frac{1}{6}x-1[/tex]

Hope this helps you.

Let me know if you have any other questions :-)


Related Questions

If the simple interest on ​$1000 for 2 years is ​$​100, then what is the interest​ rate?

Answers

Answer:

R = 450%/year

Equation:

r = (1/t)(A/P - 1)

Converting r decimal to R a percentage

R = 4.5 * 100 = 450%/year

Jenerucshshhdhdhshshsdhhsbnjd

(a) 3 - 2/3÷4/3 × 7
(b) [(2/3)/(5/6)]-2/5
(c) {(-3/4) +( 1/2)}/{(2/5)-(5/2)}

Answers

Step-by-step explanation:

a. (3 - 2/3) ÷ (4/3 x 7)

= [(3 x 3) / (1 x 3) - 2/3] ÷ 28/3

= (9/3 - 2/3) ÷ 28/3

= 7/3 x 3/28

= 21/84

= (21 x 1) / (21 x 4)

= 1/4

b. 2/3 ÷ 5/6 - 2/5

= 2/3 x 6/5 - 2/5

= 12/15 - 2/5

= (3 x 4) / (3 x 5) - 2/5

= 4/5 - 2/5

= 2/5

c. (- 3/4 + 1/2) ÷ (2/5 - 5/2)

= [- 3/4 + (1 x 12) / (2 x 2)] ÷ [(2 x 2) / (5 x 2) - (5 x 5) / (2 x 5)]

= (- 3/4 + 12/4) ÷ (4/10 - 25/10)

= 9/4 ÷ (- 21/10)

= 9/4 x - 10/21

= - 90/84

= (6 x - 15) / (6 x 14)

= - 15/14.

If you have any doubt, then you can ask me in the comments.


What’s the slope or fraction?

Answers

Two ways to do this
You can draw a triangle from (6,10) and (0,8), then count from vertical to horizontal: 2 triangles/6 triangles
The slope is 2/6 or 1/3

You can also use slope formula
First find any two points on graph
(0,8) and (3,9)
Remember: (y2-y1)/(x2-x1) = slope
(9-8)/(3-0) = 1/3

The slope is 1/3

140 grams of almonds cost $3.5. Mechael needs almonds for the dish she is preparing. How much she has to pay for 500 grams of almonds cost?​

Answers

Answer:

$12.5

Step-by-step explanation:

140 divided by 7 is 20, since 20 is a factor of 500, it will make it easier. Since we divided the 140 grams by 7, we also have to divide the $3.5 by 7, which will get you$0.5. 20 times 25 is 500, so you will also time the $0.5 by 25 which will get you $12.5

Use parallelogram ABCD. What are the values of x and

y?

A

4y-3

B

x=

y =

3x-9

42

D

37

С

Answers

Answer:

the value of x is a number but you can say 1 when you are factorising quadratic expression with the terms

Answer:

x=17

y=10

Step-by-step explanation:

If one ream of bond paper costs (3x -4) pesos. How many reams can you buy for ( 6x4 -17x3 +24x2- 34x + 24) pesos?

Answers

Answer:

1 ream = (3x - 4) pesos

Price of n reams = (6x^4-17x^3+24x^2 34x+24) pesos

Solution:(pic1)

number of reams 3x-4

By using synthetic division,

3x-4=0

3x=4

x=4/3

6 -17 24 -34 24 | 4/3

8-12 16-24

6 -9 12-18 0

Final equation is:(pic2)

y=-3x+2
A line goes through the point (-3,1) and is perpendicular to the line above,
answer the following:
a. what is the equation of the line that goes through these points in Slope-Intercept Form.
b. What is the x-intercept?
c. What is the y-intercept?

Answers

Answer:

a. y= 1/3 x + 2

b. x= -6

c. y=2

Step-by-step explanation:

a. y= mx+ c

the points are (-3,1)

the gradient is 1/3 as it is perpendicular

therefore substituting:

1= 1/3 (-3) +c

1= -1 +c

c= 1+1

=2

So, y= 1 x + 2

3

b.

x-intercept is when y=0

so substituting 0 in the equation

here: 0=1/3x + 2

1/3 x = -2

x = -6

c.

y-intercept is when x=0

y=1/3 (0) +2

y=2

Emily spends $28 on food. This amount of 4/9 of her allowance, what is Emily’s allowance?


please help with explanation !

Answers

Answer:

$63

Step-by-step explanation:

so we want to find 9/9 of her allowance, which is 100%

we could use a proportion:

let 'a' = full allowance

[tex]\frac{28}{1}[/tex] ÷ [tex]\frac{4}{9}[/tex] = [tex]\frac{a}{1}[/tex] ÷ [tex]\frac{9}{9}[/tex]

when we divide fractions we multiply by the reciprocal to get:

28 x 9/4 = a

a = 252/4

a = 63

[tex]\sqrt{250} * 810[/tex]

Answers

v250 * 810
15.81 * 810
12807. 22 or 4050v10

What is 968.1 as a fraction

Answers

I believe it is 9681/10.

Answer:

the answer is 9681/10

Step-by-step explanation:

9681/10

A beach ball has a radius of 3 inches calculate volume

Answers

Answer:

113.1 in.³

Step-by-step explanation:

V = (4/3)πr³

V = (4/3) × 3.14159 × (3 in.)³

V = 113.1 in.³

what are complementry angles

Answers

Answer:

either of two angles whose sum is 90°

Hello there! :)

Complementary angles are angles that add up to 90 degrees.

Example:

34 and 56 are complementary angles.

Hope this helps!

~Just a gloomy teen

#CarryOnLearning

[tex]SilentNature \\:([/tex]

what is 5 taken away from the product of 4 and a number. ​

Answers

Answer:

3

Step-by-step explanation:

Not sure, but let's take 32 to be the answer

4(5+x)=32

4×5= 20

4×x= 4x

20-4x=32

4x=32-20

4x=12

12÷4

x=3

Answer:

4n - 5

Step-by-step explanation:

let the number be n then the product of 4 and this number is 4n

Subtract 5 from 4n gives

4n - 5

Which of these are prime numbers 5,6,9,13,18

Answers

Answer:

5 and 13

Step-by-step explanation:

Answer:

13

is the answer

Hope it help u

Which street is perpendicular to 2nd Avenue and I also need to know what the slop would be of the new road be perpendicular to D street

Answers

Answer:

the answer is d street :)

help, please i cant do this

Answers

Answer:   x = 3.95

============================================================

Explanation:

Use the pythagorean theorem to tie together the three sides of the right triangle.

[tex]a = x-3 = \text{horizontal leg}\\b = x+5 = \text{vertical leg}\\c = 9 = \text{hypotenuse}[/tex]

[tex]a^2 + b^2 = c^2\\(x-3)^2 + (x+5)^2 = 9^2\\x^2-6x+9 + x^2+10x+25 = 81\\2x^2+4x+34 = 81\\2x^2+4x+34-81=0\\2x^2+4x-47=0\\[/tex]

From here, we use the quadratic formula to solve for x.

[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(4)\pm\sqrt{(4)^2-4(2)(-47)}}{2(2)}\\\\x = \frac{-4\pm\sqrt{392}}{4}\\\\x \approx \frac{-4\pm19.79898987}{4}\\\\x \approx \frac{-4+19.79898987}{4} \ \text{ or } \ x \approx \frac{-4-19.79898987}{4}\\\\x \approx \frac{15.79898987}{4} \ \text{ or } \ x \approx \frac{-23.79898987}{4}\\\\x \approx 3.94974747 \ \text{ or } \ x \approx -5.94974745\\\\[/tex]

We'll ignore the negative x value because it makes the sides x+5 and x-3 to be negative numbers. Negative side lengths make no sense.

The only practical solution is roughly x = 3.94974747; rounding to 3 sig figs leads to the final answer of x = 3.95

In this case, 3 sig figs means that we're rounding to 2 decimal places.

simpify 5 cubed to the power of 6
[tex]5 cubed to the power of 6[/tex]

Answers

[tex]\displaystyle (5^3)^6 = 5^{(3 \times 6)} = 5^{18}[/tex]

(5^3)^6 = 5^6x3 —> = 5^18

LCM of 4/6 and 4/8????

Answers

Answer:

24 is the LCM of 4,6,8. I think thats what your looking for.

Hope this helps!

Step-by-step explanation:

which problem solving strategy would be best to solve this problem?

To study for the spelling competition, Jose memorized 2 words from the list. The next day, Jose memorized 4 words from the list. The third day, Jose memorized 8 words from the list. If Jose continues, how many words will he memorize on the tenth day

A.look for a pattern

B.work backwards

C.write an equation

D.guess, check and revise​

Answers

Answer:

The best solving strategy is D. Finding a pattern would be decent, but D clearly is an better answer,

Step-by-step explanation:

An equilateral triangle and a rectangle have the same perimeter.
How do you find the side lengths of the equilateral triangle and the rectangle?

Answers

I think you already got the explanation part

I've just solved for 'x' in here

And to check if the answer is correct or not, you just put in this value of x and try finding the perimeter for each.

You'll get 24 units!

I'm sorry, but it wouldn't let me answer earlier XD

what is the center and radius of
[tex]x {}^{2} + y {}^{2} - 2x + y - 1 = 0[/tex]

Answers

Hopefully this helps you answer your question

[tex] = circle \: \: with \: \: the \: \: radius \: \: r = \frac{3}{2} \: \: and \: \: the \: \: center \: \: (1, - \frac{1}{2} )[/tex]

see the attachment

hope it helps

Explain relative dating and its relationship to the Law of Superposition

Answers

Answer:

its b i took the test

Step-by-step explanation:

its b

sami is making necklaces for a craft show. each necklace is 33.4 cenimeters long. if she has 233.8 centimeters of cord, how many necklaces can sami make

Answers

Answer:

Sami can make 7 necklaces.

233.8cm ÷ 33.4 = 7

Lindsay got her hair cut. The cost of a haircut
is $16. If she wants to tip her hairstylist 20%,
how much should she leave for the tip?

Answers

16 x .20 add the .20 value for the total price

Find the perimeter. Simplify your answer.

Answers

it would be 4b-4, as you add all the sides

Simplify the expression.
x - 9 - 5x+7 - 2y ​

Answers

Answer:

add the like terms then look for a gcf to take out atleast for this one

so -9+7= -2

-5x + 1x = -4x

and -2y

we can take -2 out of all those

so our answer is -2(2x+y+1

Describe the following

Answers

Answer:

yes it's a function, but not a relation.

Step-by-step explanation:

Because it is a polynomial function

1+1
This is pretty easy I know

Answers

Answer: 2

Step-by-step explanation: i dont even need to explain

Answer:

2

Step-by-step explanation:

one apple plus one apple gives you two apples :)

Someone help me pls!

You can buy 3 apples at Quick Mart for $1.17. You can buy five of the same apples at Shop & Save for $2.40

How much will you save per apple if you buy them at the cheaper store?

Answers

Answer:

$0.09 or 9 cents

Step-by-step explanation:

1.17/3=0.39

2.4/5=0.48

0.48-0.39=0.09

Answer:

Well you can divide them by each

1.17/3 which is 0.39 (quick mart)

2.4/5 Which is 0.48 (stop and save)

39 cent is what you pay at the cheaper store

9 cents is what you would save

-also you go to bay academy?

I haven’t seen Jupiter ed in so long hahah

Is - 1/2 equivalent to 1/-2

Answers

YES

- 1/2 is equivalent to 1/-2

The detailed answer is in the image attached.

Hope it helps you.....

Please mark as Brainlliest!!!

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