Find the equation of the line that contains the point (-1, -4) and is parallel to the line 6x+7y=13 . Write the equation in​ slope-intercept form, if possible.

Answers

Answer 1

Answer:  [tex]y=-\dfrac67x-\dfrac{34}{7}[/tex]

Step-by-step explanation:

Slope-intercept form: y=mx+c   (i) , of linear equations,  m= slope and c= y-intercept of the line.

6x+7y=13in slope intercept form would be :

[tex]7y=13-6x\\\\\Rightarrow\ y=\dfrac{-6}{7}x+\dfrac{13}{7}[/tex]

Comparing to (i) , [tex]m = \dfrac{-6}{7}[/tex]

Slope of parallel lines are equal.

So, slope of required line = [tex]m = \dfrac{-6}{7}[/tex]

Equation of line with slope m and passes through point : [tex](y-b)=m(x-a)[/tex]

So, equation of required line:

[tex](y-(-4))=\dfrac{-6}{7}(x-(-1))\\\\\Rightarrow\ (y+4)=\dfrac{-6}{7}(x+1)\\\\\Rightarrow\ y+4=\dfrac{-6}{7}x-\dfrac{6}{7}\\\\\Rightarrow\ y=-\dfrac67x-\dfrac{6}{7}-4\\\\\Rightarrow\ y=-\dfrac67x-\dfrac{34}{7}[/tex]


Related Questions

Heather levantó un juguete con una masa de 7/12 de kilogramo. Luego otro juguete con una masa de 1/12 de kilogramo.
Cual es la masa total de los juguetes que levanto?

Answers

yo tenia esa pregumt

responder: 8/12

explicación: Si suma los dos numeradores, obtiene 8/12

evidencia: 7/12 + 1/12

7+1= 8/12

find the slope of a line

Answers

Answer:

1 is the slope.

Step-by-step explanation:

I did this math question on edge.

Say you are filing as a single taxpayer. You have a gross income of $61,026 and claim two exemptions. You can make a deduction of $2,871 for interest on your mortgage, a deduction of $2,376 for property tax, an adjustment of $3,206 for business losses, an adjustment of $2,575 for contributions to your retirement plan, a deduction of $2,682 for medical expenses, and an adjustment of $2,440 for business expenses. If exemptions are each worth $3,650 and the standard deduction is $5,700, what is your total taxable income?
a.
$39,805
b.
$35,526
c.
$37,576
d.
$43,276

Answers

Answer:

C

Step-by-step explanation:

took test

The image of A(-1,3) under the translation T 2,1
1) (1,4)
2) (-3,2)
3) (-2,3)
4) (0,5)

Answers

Answer:

1) (1,4)

Step-by-step explanation:

Translation is a type of transformation that moves every point in an object the same distance in the same direction.

The object is A (-1,3)

The translation is T(2,1)

Applying the translation will be;

A (-1,3) ---------- A' { -1 +2 , 3+1}  = { 1 ,4}

A' = (1,4)

Is there a proportional relationship between x and y? Explain.
х
8
10
12
14
у
5
7
9
11
A.
No, all ratios
are not equivalent.
B. Yes, each x value and y value increases by 2.
C. Yes; the difference between each x value and y value is 3.
D.
No, all ratios
are greater than 1.

Answers

Answer:

B. Yes, each x value and y value increases by 2.

When Mei was born, her parents gave her 6 dolls
to start her collection. Each year, she receives
4 new dolls as gifts. What function, f(x), models
the total number of dolls in her collection after x
number of years?
f(x) =
Plz help I will mark brainliest

Answers

Maybe 6+4x??? Not sure though

If her parents had given her six dolls to begin her collection. She receives four brand-new dolls as presents every year. After x years, the function f(x) models that she would have a total of f(x) =6+4x. dolls in her collection.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that, When Mei was born, her parents gave her 6 dolls to start her collection. Each year, she receives 4 new dolls as gifts.

The function, f(x), models the total number of dolls in her collection after x number of years is,

f(x) =6+4x.

Thus, if her parents had given her six dolls to begin her collection. She receives four brand-new dolls as presents every year. After x years, the function f(x) models that she would have a total of f(x) =6+4x. dolls in her collection.

Learn more about the function here:

brainly.com/question/5245372

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A bag of sweets contains only two different flavours - strawberry and Orange
The probability that a sweet is strawberry flavour is 0.8
What is the probability that a sweet is orange flavour

Answers

0.2 because if the strawberry has a chance of 0.8 then orange must be the rest because there isn’t any other flavors.

Answer: 0,2

Step-by-step explanation:

help pls TNX............

Answers

Answer:

6

Step-by-step explanation:

What is the value of n?
121
144H
A. 95
B. 230
C. 36
D. 599

Answers

Answer:

95 is the answer

Step-by-step explanation:

[tex]180 - 144 = 36[/tex]

[tex]180 - 121 = 59[/tex]

[tex]180 - 59 - 36 = 85[/tex]

[tex]180 - 85 = 95[/tex]

Help please i need help

Answers

Answer:

The answer is c=8

3/6=4c

3(c)=4(6)

3c=24

To find the c divide 3 both side

3c÷3=24÷3

c=8

hope that helps you

Evaluate the expression

2 − 52 ÷ 5 + 8

Answers

Answer:

32

Step-by-step explanation:

plz follow me say a thanks

follow me on ig dipeshkumar0853822

Answer:

decimal= -0.4

exact form=-2/5

Step-by-step explanation:

Please help me out !​

Answers

Answer:

D

Step-by-step explanation:

because 5x4= 20 and -3×2=-6 so you need it to equal -6 and C20÷C26 you subtract so it gives you -6

I think this is right but I maybe be wrong

which equation represents a line which is perpendicular to the line y=4/3x - 7?

a. 3x + 4y = 8
b.4x + 3y = -6
c. 4x - 3y = 24
d. 4y - 3x = 12

Answers

A! Because perpendicular lines are the reciprocal slope of the given equation! so it would b y= -3/4+8

What should we subtract from 50/29 to get 24

Answers

Answer:

-22.28

Step-by-step explanation:

Let the number to be subtracted from 50/29 to get 24 to be x

So this can be written as : 50/29 - x =24 ----collect like terms as

50/29 - 24 = x

1.72 -24 = x

-22.28 = x

So to check the answer;

50/29 -{x} = 24

50/29 - {- 22.28} = 24

1.72+ 22.28 = 24 ---correct.

Find the angle measures. Justify your responses.

Given: a||b, m∠3=63

Find: m∠6,m∠7

Answers

Answer:

m∠6 = 117°

m∠7 = 63°

Step-by-step explanation:

It's given that a║b and m∠3 = 63°

Since, ∠3 and ∠6 are the consecutive interior angles,

m∠3 + m∠6 = 180°

63° + m∠6 = 180°

m∠6 = 180° - 63°

        = 117°

Since, ∠3 and ∠7 are the corresponding angles,

Therefore, ∠3 ≅ ∠7

m∠7 = m∠3 = 63°

Which of these forms should you use to file your tax return? A. W–2 form B. 1040EZ form C. 1041ES form

Answers

Answer:

Step-by-step explanation:

You need the 1040EZ to do the actual filing.

Answer:

B because I just learned it

Does logₓ1 have an answer? true/false + reasoning

Answers

Answer:

True

Step-by-step explanation:

Cus

is the following relationship non-proportional? or proportional? (please give me an explanation!!)​

Answers

No because proportional relationships are two variables where the ratios are equivalent. For example (3,2) (6,4) and (9,6). Also one variable is always a constant value times the other called “constant of proportionality”

If I’m wrong I’m so sry

Explain the question and I'll add you as branlist

Answers

Answer:

What question? We need more context

Answer:

The question is a question that is asked by someone who is asking a question, to whom they most likely need an answer to

Step-by-step explanation:

A woman who is 6ft tall is standing next to a flagpole. The shadow of the woman is 3.5ft and the shadow of the flagpole is 17.5ft. what is the is the height of the flagpole

Answers

Answer:

30 feet tall

Step-by-step explanation:

The woman is 6 feet tall and her shadow is 3.5 feet tall, as is the flagpole's shadow is 17.5 feet tall making the flagpole 30 feet tall.

Equation: 6/3.5 = 1.74 x 17.5 = 30

I hope this helps.

Good luck!

(I rounded the 1.74 to two places)

Answer:60.9ft

Step-by-step explanation: Because i checked google :)

Find the percent of increase from 2005 to 2010.

Answers

Answer:

0.249%

Step-by-step explanation:

Difference:   2010 - 2005 = 5

Increase = Difference / Starting point = 5 ÷ 2005 = 0.00249 or 0.249%

Which ordered pairs are solutions to the inequality y−3x<−4? Select each correct answer.

Answers

Answer:

Okay so what you need to understand first is that this is a line right?

So, ask yourself if you know how to graph this line.

If you do graph it, and because this line has a < less than sign it means you shade down but it also means that any point directly on the line won't be a solution because the line is dashed!

There can be many solutions to this line, but only in the solution area/shaded region. This in on the lower right side of the diagonal line that is crossing from almost 2 x-axis to -4 y- axis on the line!

If you would've shown me the list of ordered pairs I would've been able to select the correct ones.

Answer:

(4,-2) and (5,1)  I took the test

Step-by-step explanation:


Jessica thinks of a number
She multiplies the number by 3.
She then subtracts 7
Her answer is 5.
What number did Jessica think of?


I will mark the brainest pls​

Answers

Answer:

4

Step-by-step explanation:

if you multiply 4 by 3, you will get 12, and if you subtract 7, you get 5. I hope this helps ;)

Jessica think the number 4.

Here,

Jessica thinks of a number.

She multiplies the number by 3.

She then subtracts 7.

Her answer is 5.

We have to find the number.

What is Number system?

A system of writing to express number is called Number system.

Now,

Let the number is x.

Hence, Accordingly given conditions;

She multiplies the number by 3, then subtracts 7 get answer is 5.

We get;

3x - 7 = 5

3x = 12

x = 4

Hence, The number is 4.

learn more about the number system visit:

https://brainly.com/question/13162939

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why cant anyone answer my long math question that has 70 or 60 points on it, come on guys.

Answers

I don’t see it anywhere

Answer:

Math sucks dude.

explanation: math hard

Please answer correctly !!!!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!

Answers

Answer: P=4


SBSE: Remember, that whole line is 180 degrees, and the right angle would be 90 degrees.

If there are one variable, then there is only one equation.

The equation would be 54+90+8p+4=180

Let’s solve that!

54+90+4 is 148.

Then move that back to the main equation: 148+8p=180

8p=180-148
8p=32
p=32/8
p=4

p would be 4!

Emma was about to finish grocery shopping when she noticed that cans of soup were on sale. Her total bill for groceries would be $89.61 if she purchased two cans of soup and $94.98 if she bought five cans. Which equation could be used to describe Emma's grocery bill, B, in dollars as a function of the number of cans, C, purchased?

B(C)=2.69C+84.23

B(C)=1.99C+85.63

B(C)=1.79C+86.03

B(C)=1.07C+87.47

Answers

Answer:

3rd option: B(C)= 1.79C +86.03

Step-by-step explanation:

Total bill

= cost of cans(number of cans) +cost of other groceries

Let the cost of other groceries be G, and the cost of cans be X.

Given that number of cans= C,

Total bill= XC +G

If 2 cans were purchased,

2X+G= 89.61 -----(1)

If 5 cans were purchased,

5X +G= 94.98 -----(2)

(2) -(1):

(5X +G) -(2X +G)= 94.98 -89.61

5X +G -2x -G= 5.37

3X= 5.37

X= 5.37 ÷3 (÷3 on both sides)

X= 1.79

Subst. X= 1.79 into (1):

2(1.79) +G= 89.61

3.58 +G= 89.61

G= 89.61 -3.58 (-3.58 on both sides)

G= 86.03 (simplify)

Total bill

= XC +G

= 1.79C +86.03

Thus, the function is B(C)= 1.79C +86.03.

Answer:

the answer is (C)=1.79C+86.03

Step-by-step explanation:

Decrease £14132.77 by 14.5%
Give your answer rounded to 2 DP​

Answers

Answer:

£12083.52

Step-by-step explanation:

Given amount:

      Amount  = £14132.77

Percentage decrease = 14.5%

Solution:

To decrease the given amount by 14.5% implies multiply it by:

                [tex]\frac{100-14.5}{100}[/tex]  = 0.855

Now;

      Decreased amount  = £14132.77  x 0.855

      Decreased amount  = £12083.52

Find the area of the triangle.




The area of the triangle is square units.

Answers

Answer: Um, where is your picture to answer to this question? Please show me this picture to answer the question!

Step-by-step explanation:

Answer:

Step-by-step explanation:

Please your question is Incomplete please edit the question

I need to fill out the blanks

Answers

Answer:

1. 14x and 7 and 9x and 3

2. 0x

3. 4

Step-by-step explanation:

Step 1: Distribute

First, multiply 7 by 2x and 1 to get 14x and 7. Then multiply -3 by 3x and 1 to get -9x and -1

Step 2: Combine like variable terms

Combine 14x, -5x, and -9x, to get 0x.

Step 3: Combine like constant terms

Combine 7 and -3, to get 4.

WILL GIVE BRAINLIEST!! Solve It & Show Work
6. -18x - 2 = 6
7. 20x - 4 = -2
8. 2 (4x - 2) = -2
9. -2 (3x+4) = -2
10. - (x + 3) = -10
11. 20x -4 - 2x + 2 = -6
12.) -22x +4 -2x = -6

Answers

Step-by-step explanation:

6. -18x = 6+ 2= 8

x = 8/-18 = -4/9

7. 20x= -2+4 = 2

20x=2 x= 1/10

8. 8x - 4 = -2

8x= -2+4 = 2

x= 2/8= 1/4

9. -6x-8= -2

-6x= -2+ 8 =6

x= -1

10. -x-3 = -10

-x= -10+3= -7

x=7

hope it helps !!

Other Questions
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