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
AVprozaik [17]
3 years ago
14

A given line has the equation 2x + 12y = −1. What is the equation, in slope-intercept form, of the line that is perpendicular to

the given line and passes through the point (0, 9)?
Mathematics
2 answers:
evablogger [386]3 years ago
4 0

Answer:

y=6x+9

Step-by-step explanation:

Given equation of the line,

2x + 12y = -1

12y=-2x-1

y=-\frac{1}{6}x-\frac{1}{12}

Slope intercept form of a line is y = mx + c,

Where, m is the slope of the line,

By comparing, the slope of the given line is \frac{-1}{6},

Since, when two lines are perpendicular then the product of their slope is -1,

Let m_1 be the slope of the perpendicular line of the given line,

m_1\times -\frac{1}{6}=-1

\implies m_1=6

Now, point slope intercept form of a line is,

y_y_1=m(x-x_1)

Where, (x_1, y_1) is the point on the line,

Hence, the equation of the line passes through the point (0, 9) and having slope 6 is,

y-9=6(x-0)

y-9=6x

y=6x+9

VikaD [51]3 years ago
3 0

Answer:

y = 6x + 9

Step-by-step explanation:

The equation of a line in slope- interceot form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 2x + 12y = - 1 into this form

Subtract 2x from both sides

12y = - 2x - 1 ( divide all terms by 12 )

y = - \frac{1}{6} x - \frac{1}{12} ← in slope- intercept form

with slope m = - \frac{1}{6}

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{-\frac{1}{6} } = 6

Note the line passes through (0, 9) on the y- axis ⇒ c = 9

y = 6x + 9 ← equation of perpendicular line

You might be interested in
A tire company paid $4,992 for 64 tires. Which is the most reasonable estimate for the cost of each tire?
4vir4ik [10]
$78 for each tire
4,992 divided by 64 is 78
7 0
3 years ago
Sara buys soil from a gardener to fill a planter.The gardener has 1.5 cubic feet of soil to sell for $6. Sara buys just enough s
Travka [436]
The first thing you should do is calculate the volume of the prism.
 We have then:
 V = h * L ^ 2
 Where,
 L: side of the square base.
 h: height.
 Substituting we have:
 V = (0.5) * (1) ^ 2 = 0.5 feet ^ 3.
 Then, we can make the following rule of three:
 1.5 feet ^ 3 ---> 6
 0.5 feet ^ 3 ---> x
 Clearing x we have:
 x = (0.5 / 1.5) * (6) = 2 $
 Answer:
 it will cost Sara 2 $ to completely fill her planter with soil
5 0
3 years ago
A lottery game requires that 3 different numbers are picked from 1 to 9 if someone picks all 3 winning numbers the person wins 9
adell [148]
I need the questions!!
6 0
3 years ago
Shelly can cut a lawn with a riding mower in 22 hours less time than it takes william to cut the lawn with a push mower. if they
umka2103 [35]
Let n be the amount of time it takes william to cut the lawn. Then Shelly takes
n-2 hours. So:
1/n+1/n-2=1/3
3(n-2)+3n=n²-2n
6n-6=n²-2n
n²-8n+6=0
Using the quadratic formula, we get a positive value of 7.1623 hrs as the amount of time william takes working alone, and 5.1623 as the amount  of time Shelly takes working alone
☺☺☺☺
7 0
3 years ago
X+3/12=2/7 plz <br> show work
Pachacha [2.7K]
35714286/1000000000, simplified is <span>17857143/500000000.</span>
5 0
3 years ago
Other questions:
  • What is six times a number minus eleven
    14·2 answers
  • Indicate the relationship between the line: 2x - 5y = 10 , and the line: 10x + 4y = 20
    7·1 answer
  • Out of six computer chips, two are defective. If two chips are randomly chosen for testing (without replacement), compute the pr
    11·1 answer
  • Is 5.39 rational or irrational
    15·2 answers
  • Please help me with this
    11·2 answers
  • Write the fraction in simplest form: 55/132 ASAP pls help me
    14·1 answer
  • 5 t-shirts cost £38.75. <br> How much do 7 t-shirts cost?
    11·2 answers
  • How do I find the distance between (3,4) and (5,4)​
    9·1 answer
  • 24) Evaluate the expression with its given values.<br><br> x4+3y;x=12,y=2
    6·2 answers
  • Which ordered pair is a solution to the following system of inequalities?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!