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
Lana71 [14]
3 years ago
5

Write an equation of the line that passes through the given point and is parallel to the given line.

Mathematics
1 answer:
9966 [12]3 years ago
7 0

Answer : <em>Equation of line is</em> y=Equation of line is y=\frac{2}{3}x+\frac{-5}{3}

Step-by-step explanation:

Theory :

Equation of line is given as y = mx + c.

Where, m is slope and c is y intercepted.

Slope of given line : y = \frac{2}{3}x+1 is m= \frac{2}{3}

We know that line : y = \frac{2}{3}x+1 is parallel to equation of target line.

therefore, slope of target line will be \frac{2}{3}.

we write equation of target line as y= \frac{2}{3}x+c

Now, It is given that target line passes through point ( -5,-2)

hence, point ( -5,-2) satisfy the target line's equation.

we get,

y= \frac{2}{3}x+c

-2= \frac{2}{3} \times -5+ c

-5= \frac{-10}{3}+c

c= \frac{-5}{3}

thus, Equation of line is y=Equation of line is y=\frac{2}{3}x+\frac{-5}{3}

You might be interested in
What is 6,691 ÷ 28 <br><br>step by step <br><br>without a decimal​
steposvetlana [31]

Answer:

238

Step-by-step explanation:

238.964286

6 0
2 years ago
Read 2 more answers
Fiona wrote the linear equation y = 2/5 x – 5. When Henry wrote his equation, they discovered that his equation had all the same
Hoochie [10]

we have

y=\frac{2}{5}x-5

Let's Isolate the variable y in each of the cases and then compare with Fiona's equation  to determine the solution of the problem

case A) x-\frac{5}{4}y= \frac{25}{4}

Multiply by 4 both sides

4x-5y= 25

5y=4x-25

Divide by 5 both sides

y=\frac{4}{5}x-5

therefore

the case A) is not equal to Fiona's equation

case B) x-\frac{5}{2}y= \frac{25}{4}

Multiply by 4 both sides

4x-10y= 25

10y=4x-25

Divide by 10 both sides

y=\frac{2}{5}x-2.5

therefore

the case B) is not equal to Fiona's equation

case C) x-\frac{5}{4}y= \frac{25}{2}

Multiply by 4 both sides

4x-5y= 50

5y=4x-50

Divide by 5 both sides

y=\frac{4}{5}x-10

therefore

the case C) is not equal to Fiona's equation

case D) x-\frac{5}{2}y= \frac{25}{2}

Multiply by 2 both sides

2x-5y= 25

5y=2x-25

Divide by 5 both sides

y=\frac{2}{5}x-5

therefore

the case D) is  equal to Fiona's equation

<u>the answer is</u>

x-\frac{5}{2}y= \frac{25}{2}



7 0
3 years ago
Read 2 more answers
I need help again this is really hard and I don't understand how to do it
Tems11 [23]
C=10 & P=5
3C+4P=50
C+P=15
Solve
3C+4P=50
3C+3P=45
Subtract
P=5
Substitute in equation 2
C+P=15
C+5=15
C=10
4 0
3 years ago
Read 2 more answers
It takes a total of 6 hours to fill up an inground backyard pool using a standard house. A function can represent this situation
frez [133]

Answer:

All real numbers between 0 and 6

Step-by-step explanation:

We know, the function represents 'the amount of water in the pool until it is full'.

That is, 'It is a function of time giving the value of amount of water in the pool until it is full'.

So, we get that,

The domain is representing the time in which the pool is filled completely.

As, we are given that,

Maximum time taken to completely fill the pool = 6 hours.

So, the domain of the functions is 'All real numbers between 0 and 6'.

5 0
3 years ago
F + H ARE WRONG<br><br> HELP ME JIM!
RSB [31]
Reason F should be "CPCTC" which stands for "corresponding parts of congruent triangles are congruent". Its like saying "if two houses are identical, then the front doors should be the same". The houses in the analogy are the triangles, while the front doors are the corresponding parts. So if triangle DEC is congruent to triangle BEC, then the corresponding parts angle DEC and angle BEC are congruent.

===========================================

Reason H is "linear pair postulate" which says that if two angles form a linear pair then they are considered supplementary. This is simply what "supplementary" means. The two angles add to 180 degrees. A "linear pair" is where you have two angles that are adjacent and the angles combine to form a straight angle (180 degrees).

===========================================

Side note: It seems like some of this proof has been cut off. There should be more lines to this proof because the last line is always what you want to prove. In this case, the thing we want to prove is "angle DEC and angle BEC are right angles" so that should be the last statement. 

8 0
3 years ago
Other questions:
  • Tell whether the given equation has the ordered pair as a solution.
    15·1 answer
  • You are given the system of equations to solve by the elimination method, which is an INCORRECT step that will NOT produce a
    13·1 answer
  • Need the answer asap
    13·1 answer
  • Help me!!!!!! Hanger math..
    13·2 answers
  • A website that sells movie tickets can tell what devices are used to access their site and make purchases. The manager of the we
    11·1 answer
  • If f(x) = 3 ^ x - 4 what is f(- 2) ?​
    14·1 answer
  • Please help!!! Thank you!!!!!
    5·2 answers
  • I need help graphing -8x-y=8​
    11·2 answers
  • What is the middle of 1 and 6
    11·2 answers
  • Use a protractor to draw a pentagon so that the bottom side is horizontal and the left and right sides are perpendicular to the
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!