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
denis23 [38]
2 years ago
7

Use slopes to determine if the lines y=−4 and x=−1 are perpendicular.

Mathematics
2 answers:
Juli2301 [7.4K]2 years ago
5 0

Answer:

they are perpindicular because they intersect at a right angle

Step-by-step explanation:

melamori03 [73]2 years ago
3 0

Answer:

The lines y=−4 and x=−1 are perpendicular.

Step-by-step explanation:

Given the lines

y=−4

x=−1

The equation y = -4 indicates that the line is horizontal because the value of y remains constant no matter what the value of x is. We also know that the slope of a horizontal line is zero.

In other words, there is no change in y-value i.e. (y₂-y₁) = 0.

Thus, the slope of the horizontal line y = -4 is zero.

Therefore, the slope of y = -4 is: m₁ = 0

The equation x = -1 indicates that the line is vertical because the value of x remains constant no matter what the value of y is. We also know that the slope of a vertical line is undefined or ∞.

In other words, there is no change in x-value i.e. (x₂-x₁) = 0.

Thus, the slope of the vertical line x = -1 is zero.

Therefore, the slope of x = -1 is: m₂ = ∞.

We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line.

As the slope of line y = -4 is: m₁ = 0

Thus, the slope of the the new perpendicular line = m₂ = – 1/m = -1/0 = ∞

Therefore, the lines y=−4 and x=−1 are perpendicular.

ALSO:

From the attached graph, it is clear that:

  • The red line is representing y = -4
  • The blue line is representing x = -1

It is clear that both lines are perpendicular as they are meeting at a right angle.

Therefore, the lines y=−4 and x=−1 are perpendicular.

You might be interested in
In parallelogram ABCD, what is BDC?
zavuch27 [327]

Answer:

25

Step-by-step explanation:

<ABD=<BDC

Check it out

5 0
3 years ago
Read 2 more answers
Which are measurements of the sides of a right triangle?
Radda [10]
It depends and the measurement of the angle.
30-60-90(shown in image)
or
45-45-90
Also, sometimes you can use Pythagorean theorem

3 0
3 years ago
Use the modle to find 2x137
Lena [83]
the answer is 2• 137= 274
3 0
2 years ago
Read 2 more answers
The shelf is made of 3 pieces of wood, each 0.3 meter wide. There is also 0.05 meter of space between the shelf and the wall on
lutik1710 [3]
Since there are 2 sides to the shelf, there is 0.05*2=0.05+0.05=0.1 meters of space between the shelf and wall in total. Next, since each piece of wood is 0.3 meters wide and we have 3 of them, the total width of the wood is 0.3+0.3+<something>
Note that <width of wood>+<space between shelf and well> =width of closet
I challenge you to finish this on your own - good luck, and feel free to ask with any further questions! 

8 0
3 years ago
Jacob purchased a bag of 60 marbles of various colors. The bag contained 20 red, 15 green and 25 blue marbles. What percent of t
zalisa [80]
<h3>Answer:  25%</h3>

Work Shown:

15 green out of 60 total

15/60 = 1/4 = 0.25 = 25%

5 0
2 years ago
Other questions:
  • The average rainfall in Phoenix is 8.29 inches per year. The table shows recent data on the difference in annual rainfall from t
    6·2 answers
  • How to solve 7r^2-41r-6=0 basics step by step
    14·2 answers
  • Solve the following equation <br> 2/7x + 2 =<br> 6
    6·1 answer
  • Graph y = 1/3x + 3. Can someone help me with this question ​
    13·1 answer
  • Simplify the expression. (x1/8 y1/4)2
    11·1 answer
  • Monica reads a 7 1/2 pages of a mystery book in 9 minutes. What is her average reading rate in pages per minute?
    11·2 answers
  • Если x=6 то y=<br>если y=-4 то x=​
    14·2 answers
  • What percent of 84 is 12? Round to the nearest whole number.
    12·1 answer
  • How to write 13.208 in word form
    9·1 answer
  • I need the answer. Plzzzzzz
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!