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
zimovet [89]
3 years ago
15

Write the equation of a line that is parallel to the line whose equation is 4x+3y=7 and also passes through the point (-6,2)?

Mathematics
1 answer:
Leviafan [203]3 years ago
3 0

The equation of a line that is parallel to the line whose equation is 4x+3y=7 and also passes through the point (-6,2) is: y = -\frac{4}{3}x-6

Step-by-step explanation:

Given equation of line is:

4x+3y = 17

We have to convert the given line in slope-intercept form to find the slope of the line

So,  Subtracting 4x from both sides

4x+3y-4x = -4x+7\\3y = -4x+7

Dividing both sides by 3

\frac{3y}{3} = \frac{-4x+7}{3}\\y = \frac{-4x}{3} + \frac{7}{3}\\y = -\frac{4}{3}x+\frac{7}{3}

The co-efficient of x is the slope of the line.

Let m1 be the slope of given line

m_1 = -\frac{4}{3}

As the line is parallel to given line, slope of both lines will be equal

Let m be the slope of line parallel to given line

m = -\frac{4}{3}

The slope-intercept form is:

y=mx+b

Putting the value of slope

y = -\frac{4}{3}x+b

Putting the point (-6,2) in the equation

2 = -\frac{4}{3} (-6) +b\\2 = 4*2 + b\\2 = 8+b\\b = 2-8\\b = -6

Putting the value of b

y = -\frac{4}{3}x-6

Hence,

The equation of a line that is parallel to the line whose equation is 4x+3y=7 and also passes through the point (-6,2) is: y = -\frac{4}{3}x-6

Keywords: Equation of line, slope

Learn more about equation of line at:

  • brainly.com/question/7932185
  • brainly.com/question/788903

#LearnwithBrainly

You might be interested in
Determine the volume of a sphere with a diameter of 70 mm. Question 13 options: A) 21,714.7 mm3 B) 3,216.9 mm3 C) 100,024 mm3 D)
storchak [24]

Answer:

The answer is option D

Step-by-step explanation:

Volume of a sphere is given by

V =  \frac{4}{3} \pi {r}^{3}

where r is the radius

From the question to calculate the radius we use the formula

radius = diameter / 2

diameter =70mm

radius = 70/2 = 35 mm

So the volume of the sphere is

V =  \frac{4}{3} \pi \times  {35}^{3}

V =  \frac{171500\pi}{3}

We have the final answer as

<h3>Volume = 179,594.4 mm³</h3>

Hope this helps you

8 0
3 years ago
A. Each day, your teacher randomly calls on 5 students in your class of 30. What is the
Anettt [7]

Answer:

The probality is 5/30 or in simpliest form it is 1/6!

Step-by-step explanation:

Hope this helps! Plz give me brainliest

4 0
3 years ago
Log base 2 (1/4) ...?
liubo4ka [24]
Log ( base 2 ) ( 1 / 4 ) =
= log ( base 2 ) ( 2 ^(-2 ) ) =   
= - 2 log ( base 2 ) 2 =    ( because : log x^n = n log x )
= ( - 2 ) * 1 =    ( because:   log (base x) x = 1 ) 
= -  2
5 0
3 years ago
What is the product ?
rjkz [21]

Answer:

Step-by-step explanation:

[4   2] *  -2   5               = [ 4*-2 + 2*7       4*5+2*-1]

             7     -1

         

        = [-8+14        20-2]

        = [6    18]

             

6 0
3 years ago
when you multiply a number by itself then multiply that number by another number and it equals 80 what are the 2 numbers?
sasho [114]
4 and 5
(4)(4)=16 then (16)(5)=80
3 0
3 years ago
Read 2 more answers
Other questions:
  • What are the steps for using a compass and straightedge to construct a square?
    13·2 answers
  • Round each number to the nearest hundredth.
    9·2 answers
  • Kalyn invited 24 friends to her birthday party. The
    9·1 answer
  • What is 132 divided by 32
    14·2 answers
  • A local little league has a total of 40 players of who 35% are left handed.how many left handed players are there?
    15·1 answer
  • Brain bought 2 shirts for 14.50 each and a pair of shoes for 29.99 the sales tax was 6%
    9·2 answers
  • Micah wants to insert a photo on his website. The current size of the photo is 1,800 pixels by 1,200 pixels. He wants to reduce
    11·1 answer
  • Pleasee pleaseee help me so I can not get in trouble because my grades
    10·2 answers
  • (2x+5)^2=4x^2+kx+25 solve for k
    10·1 answer
  • Please help me and fast
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!