1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Lerok [7]
3 years ago
9

what is the equation of the line that is parallel to 6x-2y=4+6y and passes through the point (8, -16)?

Mathematics
1 answer:
Alisiya [41]3 years ago
4 0

Answer:

y=\frac{3}{4}x-22

Step-by-step explanation:

We are given;

  • The equation of a line 6x-2y=4+6y
  • A point (8, -16)

We are required to determine the equation of a line parallel to the given line and passing through the given point.

  • One way we can determine the equation of a line is when we are given its slope and a point where it is passing through,

First we get the slope of the line from the equation given;

  • We write the equation in the form y = mx + c, where m is the slope

That is;

6x-2y=4+6y

6y + 2y = 6x-4

8y = 6x -4

We get, y = 3/4 x - 4

Therefore, the slope, m₁ = 3/4

But; for parallel lines m₁=m₂

Therefore, the slope of the line in question, m₂ = 3/4

To get the equation of the line;

We take a point (x, y) and the point (8, -16) together with the slope;

That is;

\frac{(y--16}{x-8}=\frac{3}{4}

4(y+16)=3(x-8)\\4y + 64 = 3x - 24\\4y=3x-88\\ y=\frac{3}{4}x-22

Thus, the equation required is y=\frac{3}{4}x-22

You might be interested in
What is the slope of this line enter your answer as a fraction in simplest form
Umnica [9.8K]

Answer:

slope is -1

Step-by-step explanation:

5 0
3 years ago
What is the ratio 12 to 63 written as a fraction in lowest terms?
GenaCL600 [577]
Written in simplest terms its 4/21
4 0
3 years ago
Read 2 more answers
If 5^n x 5^3 = 5^6, then n is _____.<br><br> A) 18<br> B) 2<br> C) 3<br> D) 9
Eddi Din [679]
<h3>Answer:  C) 3</h3>

The rule we'll use is a^b*a^c = a^(b+c). So we add the exponents.

That means 5^n*5^3 = 5^(n+3)

So 5^n*5^3 = 5^6 turns into 5^(n+3) = 5^6

The bases are equal to 5, so the exponents be equal to one another.

n+3 = 6

n+3-3 = 6-3

n = 3

So 5^3*5^3 = 5^(3+3) = 5^6.

6 0
3 years ago
Read 2 more answers
How do i estimate 13.5/5=?
Galina-37 [17]

Answer:

3

Step-by-step explanation:

Round to nearest 5 - 15

Divide 15 by 5 - 3

8 0
2 years ago
Read 2 more answers
Solve for y<br> Pls it fast
Zigmanuir [339]

Answer:  y = 6

<u>Step-by-step explanation:</u>

The small triangle MNO is similar to the big triangle LNP, which means their sides are proportional

\text{Small}\triangle \quad \text{Big}\triangle \\\\\\\dfrac{MN}{ON}=\dfrac{LN}{PN}\\\\\\\dfrac{24}{y}=\dfrac{9+24}{6+y}\\\\\\24(6+y)=y(9+24)\\144+24y=33y\\\\144=9y\\\\\large\boxed{16=y}

7 0
3 years ago
Other questions:
  • Which ordered pair represents the solution to the system of equations? {−5x+7y=−196x−2y=10
    8·1 answer
  • Solve: 6yd. 9ft. 4in × 2
    10·2 answers
  • What is the answer to 2(5x-8)+6=11
    7·1 answer
  • Solve the problem. Make sure your answer is in simplest form. 3/10 x 5/12
    6·1 answer
  • Solve for r s=2 πrh <br> a. s/2= r <br> b. 2 πsh=r <br> c. s/2 π= r <br> d. s/2 πh= r
    9·1 answer
  • (URGENT) need answer for today​
    10·1 answer
  • Which number is written in scientific notation?
    9·1 answer
  • What is the product?
    6·1 answer
  • X/3=3 use the division property of equality​, please explain
    7·1 answer
  • What is the perimeter of a rectangle whose length is twice the width? Width = 7 cm.
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!