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
Andreyy89
3 years ago
12

What is an equation of the line that passes through the point (1,-3) and is perpendicular to the line x+3y=21?

Mathematics
1 answer:
andreev551 [17]3 years ago
7 0

Answer:

3x - y = 6

Step-by-step explanation:

The equation of a line in slope- intercept form is

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

Given

x + 3y = 21 ( subtract x from both sides )

3y = - x + 21 ( divide all terms by 3 )

y = - \frac{1}{3} x + 7 ← in slope- intercept form

with slope m = - \frac{1}{3}

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}{3} } = 3 , thus

y = 3x + c ← is the partial equation

To find c , substitute (1, - 3) into the partial equation

- 3 = 3 + c ⇒ c = - 3 - 3 = - 6

y = 3x - 6 ← in slope- intercept form

subtract y from both sides

0 = 3x - y - 6 ( add 6 to both sides )

6 = 3x - y , that is

3x - y = 6 ← in standard form

You might be interested in
How many factors in the number 21 and is the number 21 a Prime or Composite?
anygoal [31]

Answer:

The prime factors of number 21 are: 3, 7 Determined equcation for number 21 factorization is: 3 * 7 Prime Factors Of 20 Prime Factors Of 22

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Find /K.<br> (8x - 29)<br> (3x- 1)<br> (6x- 11)
atroni [7]

Answer:

where is k

Step-by-step explanation:

guy is unavailable right now because this video is

4 0
3 years ago
What is the solution to -4(8 - 3x)2 6x - 8?
Fudgin [204]

Answer:

1) -32+12x 2) 2(3x-4)

Step-by-step explanation:

I hope this is right!

7 0
3 years ago
8.5x+51.86=-11.5x+51.76
solniwko [45]
Add, -11.5x and move it over to 8.5x

Then, subtract them together and you get 20x + 51.86 = 51.76

And you move (subtract) 51. 86 over to 51.76, subtract that and you get             20x = -0.1

Divide, and your answer is -200
7 0
3 years ago
Naomi has 45 minutes to get ready for school she spends x minutes getting dressed write an expression that respetents the number
andriy [413]
ANSWER

(45  - x) \: minutes

EXPLANATION

Total minutes Naomi has at her disposal is 45 minutes.



The number of minutes she spends getting dressed is

x


To find the number of minutes she still has to get ready, we subtract the minutes spent from the total minutes.

The number of minutes she still have to get ready is

(45  - x) \: minutes

5 0
3 years ago
Other questions:
  • You want to know how many calories you burn when you exercise. Look at the calories / exercise table below.
    11·1 answer
  • What happened today 30 years ago 03-30-16?
    10·1 answer
  • Write an equation in slope-intercept form for the line with slope 3/4 and y-intercept -1.​
    13·1 answer
  • Help me please I will really appreciate it
    8·1 answer
  • On sunday, alanna made soup. she used 1.9 liters of chicken broth and 2.4 liters of vegetable broth. she says that she used abou
    15·2 answers
  • If the vertex of a parabola is ​(-1,-10), what is the axis of​ symmetry?
    6·1 answer
  • What is the equation of the line that passes through (–5, 0) and (4, 3)?
    8·1 answer
  • Anyone know the answer?​
    7·2 answers
  • THIS DO NOT HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    10·2 answers
  • 1. Find the radian measure for 150 degrees.
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!