What is an equation of the line that

2022-03-27 Answered

What is an equation of the line that passes through the point (−1,4) and is parallel to the line 2x+y=1?


 

You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Answers (1)

alenahelenash
Answered 2022-03-28 Author has 368 answers

Parallel means the slope is the same,y=-2x+K that is, the slope is also -2.
So, the general equation would be:

y=-2x+K

Now, (-1, 4) belongs to the line… and this means the equation is true when x=-1 and y = 4.

4=-2*(-1)+k

4=2+K

Adding 2 in both sides:

2=K

So, the equation is:

y=2x+2

Not exactly what you’re looking for?
Ask My Question

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Relevant Questions

asked 2022-04-22
asked 2022-04-19

Consider the complex number 𝑧 = −1 − 𝑖√2 

a) Using De Moivre’s Theorem, find 𝑧^3 𝑎𝑛𝑑 𝑧^5

b) Plot 𝑧, 𝑧^3 𝑎𝑛𝑑 𝑧^5 on an Argand Diagram.

asked 2022-05-03

Show directly from the definition that if (xn) and (yn) are Cauchy sequences, then (xn+yn) and (xnyn) are Cauchy sequences. 
If xn =n, show that (xn) satisfies lim|xn+1xn|=0, but that it is not a Cauchy sequence. 
Let p be a given natural number and give an example of a sequence (xn) that is not a Cauchy sequence, but that satisfies lim|xn+pxn|=0.

asked 2022-03-20

Estimate the terminal sped of a typical car having an engine with a constant power in a flat road, by using the concept of drag force.

asked 2022-04-20

An electric turntable 0.820 m in diameter is rotating about a fixed axis with an initial
angular velocity of 0.240 rev/s and a constant angular acceleration of 0.800 rev/s2

(a)Compute the angular velocity of the turntable after 0.400 s. 

(b) Through how many
revolutions has the turntable spun in this time interval? 

(c) What is the tangential speed of
a point on the rim of the turntable at t= 0.400 s? 

(d) What is the magnitude of the
resultant acceleration of a point on the rim at t = 0.400 s?

asked 2022-03-30

Complete the square to transform the general equation below to standard form in order to determine the center and radius

 

 

asked 2022-03-29

Find the position vector of the point in space P that lies on the line AB such that with m,neR. Find the position vector of P if A(1,2,1), B(3,-1,2), m=3 and n =2.

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question