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
maxonik [38]
3 years ago
13

Which point on the y-axis lies on the line that passes through point C and is perpendicular to line AB?

Mathematics
1 answer:
SCORPION-xisa [38]3 years ago
6 0

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

Which point on the y-axis lies on the line that passes through point C and is perpendicular to line AB?

A. (-6, 0)

B. (0, -6)

C. (0, 2)

D. (2, 0)

The graph of the question is attached.

Answer:

The point is (x, y) = (0, 2)

The correct option is C.

Therefore, the point (0, 2) on the y-axis lies on the line that passes through point C and is perpendicular to line AB.

Step-by-step explanation:

From the given graph, the points A and B are

(x_1, y_1) = (-2, 4) \\\\(x_2, y_2) = (2,-8) \\\\

The slope of the equation is given by

m_1 = \frac{-8 - 4 }{2 -(-2)} \\\\ m_1 = \frac{-12 }{2+2} \\\\m_1 = \frac{-12 }{4} \\\\m_1 = -3 \\\\

We know that the slopes of two perpendicular lines are negative reciprocals of each other.

m_2 = - \frac{1}{m_1}

So the slope of the other line is

m_2 = \frac{1 }{3} \\\\

Now we can find the equation of the line that is perpendicular to the line AB and passes through the point C.

From the graph, the coordinates of point C are

(x_1, y_1) = (6, 4)

The point-slope form is given by,

y - y_1 = m(x -x_1)

Substitute the value of slope and the coordinates of point C

y - 4 = \frac{1 }{3} (x - 6)\\\\

To get the y-intercept, substitute x = 0  

y - 4 = \frac{1 }{3} (0 - 6) \\\\y - 4 = \frac{-6 }{3}\\\\y - 4 = -2\\\\y = 4 -2 \\\\y = 2 \\\\

So, the point is

(x, y) = (0, 2)

The correct option is C.

Therefore, the point (0, 2) on the y-axis lies on the line that passes through point C and is perpendicular to line AB.

You might be interested in
Which expression represents 10 times the sum of 2 and 1?
sergeinik [125]
The expression would be

10(2+1)

have a great afternoon!!
7 0
3 years ago
Read 2 more answers
F(x) = -x^2 + 5x – 2<br> Find f(-4)
disa [49]

Answer:

2

Step-by-step explanation:

if f(4), than -4^2=-16

5(4)=20

-16+20-2=2

8 0
2 years ago
Find the percent of decrease. Round to the nearest whole percent.<br> old: 374 boxes; new: 130 boxes
Jet001 [13]

Answer:

B

Step-by-step explanation:

6 0
3 years ago
Help pleaseeeeeeeeee​
ad-work [718]

Answer:

non of these choices I guess

4 0
2 years ago
select the three objectives mosquitoes hovered around the small puddle of still murky water in the background ​
gayaneshka [121]

Answer:

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • Sam exercised by stretching and jogging 5 days last week. • He stretched for a total of 25 minutes during the week. • He jogged
    7·1 answer
  • Given A = {a, b, c, d} and B = {1, 2, 3, 4} , sets A and B can be defined as?
    13·1 answer
  • Anwser asap thanks.​
    8·2 answers
  • What is 0.44 as a fraction
    8·2 answers
  • Can someone please answer this!!!!
    6·1 answer
  • Find the common difference of the arithmetic sequence 1,-1, -3, ...
    11·1 answer
  • If a perimeter of a room is 78 feet, what is the area of the floor of the room?
    15·2 answers
  • Which of the following is a solution to 3x^2 = 36?
    13·1 answer
  • How many books could you read in 114 days if you read 2 books every 3 days?
    9·2 answers
  • 1<br> -3<br> р<br> II<br> 03<br> True<br> O False
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!