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
what is the value,7years,of a 2014 ford mustang that originally costs 25000.00 if it depreciates at the rate of 8% per year? rou
Andrew [12]
The depreciated value is given by
.. v(t) = $25,000*0.92^t . . . . . t in years
Then
.. v(7) = $25,000*0.92^7 ≈ $13,946
8 0
3 years ago
Read 2 more answers
Which expression are equivalent to 4(9+3) ?
Maslowich
This expression is equivalent (9+3)4
8 0
3 years ago
How to solve #4 and #5
MArishka [77]
If SU bisects TSV, then TSU = USV
4y + 11 = 6y + 5
6y - 4y = 11 - 5 = 6
y = 6/2 = 3

Therefore, m<TSU = 4(3) + 11 = 12 + 11 = 23
7 0
3 years ago
Graph the Quadratic Function given.<br> y = -x^2 - 4x - 3
Dovator [93]

Answer:

Concave down

Y-intercept: (0,-3)

X-intercepts: (-1,0) (-3,0)

Vertex: (-2,1)

6 0
3 years ago
Solve the inequality, enter it in interval notation , 6x+3&lt;8(8x+6)+3
garik1379 [7]

Answer:

The answer to your question is:    ( - 24 / 29, ∞ )

Step-by-step explanation:

                                             6x + 3 < 8 (8x + 6) + 3

                                             6x + 3 < 64x + 48 + 3

                                             6x + 3 < 64x + 51

                                             6x - 64x < 51 - 3

                                            - 58 x < 48

                                            x > - 48 / 58

                                            x > - 24 / 29

                                          ( - 24 / 29, ∞ )

5 0
3 years ago
Other questions:
  • What is 1/5 of 100 ?
    14·2 answers
  • Gorge is 6 years older than his brother and the sum of their ages is 68 years. How old is George?
    10·2 answers
  • How many 1 ft2 tiles do you need for the flooring of a room that is 13 ft by 13 ft?
    7·2 answers
  • What's the Answer someone please help
    11·1 answer
  • The cargo area of the moving truck shown will be completely filled by 45 identical cube-shaped boxes. What will be the surface a
    13·1 answer
  • Pls helppppppppppppppppppppppppp
    11·2 answers
  • (5^4)^6 Rewrite using a single exponent
    8·1 answer
  • Show the remainder of this problem as a fraction: <br><br> =45 /
    8·1 answer
  • Help pls urgent :) plssss
    13·1 answer
  • In circle G with m \angle FGH= 42m∠FGH=42 and FG=6FG=6 units find area of sector FGH. Round to the nearest hundredth.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!