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
muminat
3 years ago
5

Write an equation of the line that passes through (6, 1) and is perpendicular to x +2y-12=0.

Mathematics
2 answers:
kolezko [41]3 years ago
8 0
The Answer would be to my knowledge : y=2x-11!
likoan [24]3 years ago
5 0

Answer:

y = 2x - 11

Step-by-step explanation:

<u>Perpendicular lines</u> have negative reciprocal slopes—multiplying the slopes of two lines results in a product of -1.

Given the linear equation,  x + 2y - 12 = 0, and the other point, (6, 1):

Convert the given linear equation into its slope-intercept form:

x + 2y - 12 = 0

Subtract x from both sides:

x - x + 2y - 12 = - x  0

2y - 12 = -x

Next, add 12 to both sides of the equation:

2y - 12 + 12 = -x + 12

2y = -x + 12

Divide both sides by 2 in order to isolate y:

y = - ½x + 6

Since the slope of the given equation is - ½, then the other line perpendicular to it must have a slope of 2:

Let m₁ =  - ½

     m₂ = 2

     m₁ × m₂ = -1

     -½ ×  2  = -1

Hence, the slope of the other line, m₂ = 2. Next, using the slope of the other line, m₂ = 2, and the other given point, (6, 1), substitute these values into the slope-intercept form to solve for the y-intercept, (b):

y = mx + b

1 = 2(6) + b

1 = 12 + b

1 - 12 = 12 - 12 + b

-11 = b

Thus, the <u>y-intercept</u> of the other line is b = -11.

Therefore, the linear equation of the line that is perpendicular to x + 2y - 12 = 0 is:

<h3>y = 2x - 11.</h3>

As a proof, attached is the graph of both equations, where it shows that they are perpendicular from each other.    

You might be interested in
If you need 8 oz of chocolate chips to make 1.6 lb of cookie dough how many ounces of chocolate chips will you need to make 7 lb
iren [92.7K]

Answer:

3.5 Oz of chocolate

Step-by-step explanation:

1.6 lb of cookie dough is made from chocolate of 8 Oz

1 lb will be made by 8/ 1.6 = 0.5 Oz of chocolate

Therefore

7lb of cookie dough will be made from 7 * 0.5= 3.5 Oz of chocolate/

6 0
3 years ago
Henry and Natalie are writing a comic book. Henry writes 12 pages for the comic book, and Natalie writes 16 pages. They want to
Triss [41]

answer: 1736

Step-by-step explanation: big brain

8 0
2 years ago
Read 2 more answers
Ethan's school has a sports field with an area of 6,450.35 square yards. if the length of the field is 90.85 yards, what is the
atroni [7]

Answer:

6450.35/90.85 = 71 yards.

Step-by-step explanation:

3 0
2 years ago
7. The volume, V, of any cube with a side length, s, can be determined using the formula V = S^3 (s x s x s). What is the volume
sdas [7]

Answer:

count the blocks or use brain

7 0
3 years ago
Read 2 more answers
The diagram shows WXY. which term describes point Z
larisa86 [58]
The answer is d because the centroid stems from medians in a triangle
7 0
3 years ago
Read 2 more answers
Other questions:
  • What is the solution to the system of equations? Use any method you like, but be sure to show all work.
    13·2 answers
  • What is the value of x?<br> 1495=490+x
    11·2 answers
  • What is the surface area of the prism in square inches?2in by 8in by 11in 90 square inches 126 square inches 176 square inches 2
    6·2 answers
  • The graph of an exponential function passes through (2,−32) and (3,−64). Find the exponential function that describes the graph.
    8·1 answer
  • 7-3 draw a diagram <br> And find the difference
    9·1 answer
  • A circle has a center located at 2 5 and passes through the point 10 3 answer
    5·1 answer
  • Help me please with This no need to explain
    13·2 answers
  • 20. BRAINLIEST! URGENT! I need help.​
    6·1 answer
  • I need help finding this missing angle
    7·1 answer
  • Which statements are true? Select all that apply.
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!