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
mart [117]
3 years ago
6

What is the equation of the line that is parallel to the line x = -2 and passes through the point (5.4)?

Mathematics
1 answer:
Leno4ka [110]3 years ago
4 0

Lines parallel to each others only occur when two slopes of equations are same. The definition of parallel lines is:

\large \boxed{m_1 =  m_2}

We are given the equation of a line which is x = -2. For x = a, the equation forms a verical line and has an undefined slope. These below are basic that you may need to learn when learning about the line graph:

  • y = a —> horizontal line; slope is 0.
  • x = a —> vertical line; slope is undefined.
  • For y = a, any a-values would have same x-values. For example, if we are given y = 2 then any domains or x-values can have the range of 2.
  • For x = a, any a-values would have same y-values or range.

Back to the question. We want to find the equation of a line that is <u>p</u><u>a</u><u>r</u><u>a</u><u>l</u><u>l</u><u>e</u><u>l</u> to the line x = -2 and <u>p</u><u>a</u><u>s</u><u>s</u><u>e</u><u>s</u><u> </u><u>t</u><u>h</u><u>r</u><u>o</u><u>u</u><u>g</u><u>h</u><u> </u><u>(</u><u>5</u><u>,</u><u>4</u><u>)</u> point. Recall the definition of parallel line that both slopes of equations must equal. Since x = a for any a-values would give an undefined slope. That means our parallel would be x = b.

Because the line passes through (5,4) - for any a-values from x = a would give out the set of all real numbers for range. Therefore the equation of a line is x = 5.

Answer

  • The equation of a line that is parallel to x = -2 and passes through (5,4) is x = 5.

I hope this helps! If you have any doubts or questions, don't hestitate to ask in comment! Good luck on your assignment and have a great day!

You might be interested in
URGENT PLS RESPOND!!!
Elan Coil [88]

Answer:

\huge\boxed{d=\sqrt{17}}

Step-by-step explanation:

Simply use the fact that the change in x squared + the change in y squared = the distance squared.  (The Pythagorean Theorem)

1^2 + 4^2 = d^2

1 + 16 = d^2

17 = d^2

d = √17

Hope it helps :)

6 0
2 years ago
Consider the equation and its solution.
madreJ [45]
30 Me mark as brainlist
6 0
2 years ago
Coffee café mix 90 pounds of coffee that cost six dollars per pound the types of coffee used to make this makes you cost seven d
Troyanec [42]

Answer:

y =  60

Step-by-step explanation:

From the  information we get:

x  quantity of 4 dollars  coffee used in the mix

y  quantity of 7 dollars  coffee used in the mix

For the quantity of coffee to be sold a 7 $/pound  ( 90 pounds)

Then  6*90  =  540  $

Therefore

x  +  y  =  90     and

4*x  +  7*y  =  540

A two equations system we solve for x and y

y =  90  -  x

4*x  +  7* ( 90  -  x ) = 540

4*x  +  630 - 7*x  =  540

- 3*x  =  - 90

x = 30 pounds   and

y  =  90  -  30

y  =  60

We should use  60 pounds of the seven $ coffee

4 0
2 years ago
You have 1 case of soap bars and there are 150 bars in a case. You use 300 bars of soap per day. how many cases do you news to o
nignag [31]
You would need 13 cases. If you would like an explanation of my answer, let me know.
7 0
3 years ago
Which of the x-values are solutions to both of the following inequalities?
AnnZ [28]

Answer: x=2

Just did it rn

8 0
3 years ago
Other questions:
  • The population of a town grew from 20,000 to 28,000. The continuous growth rate is 15%. The equation 20,000e^0.15t=28000 represe
    15·1 answer
  • I don't understand how to solve this please help
    11·2 answers
  • Can someone help me with this?
    10·1 answer
  • A town’s population of children increased from 376 to 421 during the past year.
    9·1 answer
  • PLZ ANSWER THIS <br> SCRENNSHOT
    12·1 answer
  • (<img src="https://tex.z-dn.net/?f=%20%28%5Cfrac%7B2%7D%7B3%7D%20x%5E%7B-3%7D%20y%5E%7B4%7D%20z%5E%7B2%7D%29%5E%7B3%7D%20%20%20"
    11·1 answer
  • 7 1/7 - 2 1/2 how do I solve?
    5·2 answers
  • Help....
    13·2 answers
  • What is an
    15·1 answer
  • Brian invests £990 into his bank account. He receives 2% per year simple interest. How much
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!