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
trapecia [35]
3 years ago
13

How to solve (3,2) and (5,6) and turn it into 2x-y=4

Mathematics
2 answers:
Bingel [31]3 years ago
7 0

You can start with the formula

... ∆y(x -x₁) -∆x(y -y₁) = 0

where ∆x = (x₂ -x₁) and ∆y = (y₂ -y₁). It does not matter which point you consider 1 or 2, but it is usually convenient to choose them so the differences are positive.

... (∆x, ∆y) = (5, 6) - (3, 2) = (2, 4)

For purposes of the above equation, it is convenient to divide these differences by any common factor they might have. Here, that factor is 2, so we can use

... (∆x, ∆y) = (1, 2) . . . . . . where (1, 2) = (2/2, 4/2)

Then, using ∆y=2, ∆x=1, x₁=3, y₁=2, the equation for the line becomes

... 2(x -3) - 1(y -2) = 0

... 2x -y -4 = 0 . . . . . . . simplified to general form

... 2x -y = 4 . . . . . . . . . add 4 to put in standard form.

_____

The equation used here is a variation of the 2-point form of the equation for a line. That equation is usually seen as

... y -y₁ = (y₂ -y₁)/(x₂ -x₁)·(x -x₁)

In the terms used above, it can be written as ...

...  y -y₁ = ∆y/∆x·(x -x₁)

Multiplying by ∆x and subtracting the left side, we see it as above:

... ∆y·(x -x₁) - ∆x·(y -y₁) = 0

Zolol [24]3 years ago
5 0
Find the slope between the 2 points and plug inotllto point slope form
You might be interested in
Find the slope of a line through (4, 5) and (4, -5). Determine if the line is vertical, horizontal, or neither.
oksian1 [2.3K]

Answer:

Its a straight line

Step-by-step explanation:

4 0
3 years ago
4. Choose the best answer.
Svet_ta [14]
the answer isexistence
4 0
2 years ago
What is 9× >270 using inequalities
swat32

Answer:

x > 30

Step-by-step explanation:

divide both sides by 9

this gets the x on one side by itself.

270/9 = 30

don't let the inequality mess with you

treat it like an equal sign and leave it the way it is.

move things around it.

5 0
3 years ago
What conclusion can be derived by comparing the central tendencies of the two data sets?
Lorico [155]
The average of both sides are the same.

Hope I helped! ( Smiles )
6 0
3 years ago
Someone please help me ?? ​
KATRIN_1 [288]

Answer:

A filled in circle indicates "or equal to" in a graphing situation. If it's open it means anything less than or greater then that number depending on whatever your graph looks like.

Hopefully this helped!

5 0
3 years ago
Read 2 more answers
Other questions:
  • Evaluate 53 – 2m for m = 3.
    7·2 answers
  • A Grocery Store Gets An Order Of Fresh Fruit Every 4 Days  And An Order Of Canned Fruit Every 10 Days. The Store Received Both O
    13·1 answer
  • If a is directly proportional to b/2 and a=1 when b=10, what is the value of a when b=35
    8·1 answer
  • Jayden has put $35,000 into a retirement fund. The fund has an estimated annual return of 5%. If Jayden doesn't add any more mon
    11·1 answer
  • there are 15 vegetables in the garden. They are planted in rows of 5. There are 2 carat plants and 3 potato plants in each row.h
    7·2 answers
  • Dave says:
    8·2 answers
  • A test is worth 140 points. Ten percent of those points are from one short-answer question. How many points is the short-
    14·2 answers
  • A store sells school bags for $17.10 each. At what price should the store sell each bag, if the price needs to be marked up by 3
    6·2 answers
  • Which equation is equivalent to the given equation?<br> X^2-14x=-48
    10·1 answer
  • Gavin works two part-time jobs to pay for college. He works 8 hours each week tutoring and 10 hours each week in the dining hall
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!