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
lbvjy [14]
3 years ago
8

What is the standard form equation of the line shown below? Graph of a line going through negative 1, 5 and 2, 4

Mathematics
1 answer:
just olya [345]3 years ago
3 0

Answer:

x+3y=14

Step-by-step explanation:

Standard form for an equation of a line is ax+by=c . Some books have restrictions on a,b, and c.

So first thing I'm going to do is state the equation I'm going to use to get there.

I'm going to use the point-slope form because we are given a point (2 really) and we can find the slope using two points (we have).

Line up points and subtract. You will then put second difference over the first difference.  This will give you the slope. You could just use (y2-y1)/(x2-x1).

( -1 , 5)

-(  2, 4)

-----------

-3     1

So the slope is 1/-3 or -1/3 .

So the equation in point-slope form, y-y1=m(x-x1), is y-4=-1/3 (x-2) .

y-4=-1/3 (x-2)

First step: I'm going to get rid of the fraction by multiplying both sides by 3.

3y-12=-1(x-2)

Second step: Distribute

3y-12=-x+2

Third step: add x on both sidfes

x+3y-12=2

Fourth step: add 12 on both sides

x+3y=14.

You might be interested in
Prove that one of every three consecutive positive integer is divisible by 3
Inessa05 [86]
Hello : 
all n in N ; n(n+1)(n+2) = 3a    a in  N  or : <span>≡ 0 (mod 3)
1 ) n </span><span>≡ 0 ( mod 3)...(1)

     n+1 </span>≡ 1 ( mod 3)...(2)
      n+2 ≡ 2 ( mod 3)...(3)
by (1), (2), (3)  : n(n+1)(n+2) ≡ 0×1×2   ( mod 3)   : ≡ 0 (mod 3)
2) n ≡ 1 ( mod 3)...(1)

     n+1 ≡ 2 ( mod 3)...(2)
      n+2 ≡ 3 ( mod 3)...(3)
by (1), (2), (3)  : n(n+1)(n+2) ≡ 1×2 × 3  ( mod 3)   : ≡ 0 (mod 3) , 6≡ 0 (mod)
 3) n  ≡ 2 ( mod 3)...(1)

     n+1 ≡ 3 ( mod 3)...(2)
      n+2 ≡ 4 ( mod 3)...(3)
by (1), (2), (3)  : n(n+1)(n+2) ≡ 2×3 × 4  ( mod 3)   : ≡ 0 (mod 3) , 24≡ 0      (mod3)
5 0
3 years ago
Simplify.
inn [45]

Answer:

1. \frac{3y - 2}{5}    =  \frac{3y}{5} -  \frac{2}{5}    \\  \\ 2.    \frac{6x - 3}{3}  =  \frac{6x}{3}  -  \frac{3}{3}  \\ =  2x - 1 \\  \\ 3. \frac{4}{2}  = 2

8 0
2 years ago
Melanie packs boxes of envelopes into a larger box. The volume of each box of envelopes is 1,200 cubic centimeters. Which is the
Eva8 [605]

Answer:

the awnser is 12,000, mealine has 12000

Step-by-step explanation:

8 0
3 years ago
Translate this phrase into an algebraic expression.
wariber [46]

Answer:

17+2g

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Evaulate 10^2 + 6 multiplied by 7 + 8
Alinara [238K]

Evaluating 10^2 + 6 \,\,multiplied\,\, by\,\, 7 + 8 we get 1590

Step-by-step explanation:

We need to evaluate 10^2 + 6 \,\,multiplied\,\, by\,\, 7 + 8

Solving:

10^2 + 6 \,\,multiplied\,\, by\,\, 7 + 8\\=(10^2+6)\times(7+8)\\=(100+6)\times(15)\\=106\times15\\=1590

So, evaluating 10^2 + 6 \,\,multiplied\,\, by\,\, 7 + 8 we get 1590

Keywords: Solving the expressions

Learn more about Solving the expressions at:

  • brainly.com/question/5496711
  • brainly.com/question/2369634
  • brainly.com/question/5639299

#learnwithBrainly

5 0
3 years ago
Other questions:
  • Simplify each expression. Write each answer in scientific notation. <br><br> (2 * 10^3)(3 * 10^2)
    5·1 answer
  • Find the value of x.
    5·2 answers
  • Geometry math question
    12·2 answers
  • The point a is located on the y-axis, 6 units above the x-axis. what are the coordinates of point a?
    11·1 answer
  • Slide 4.1 m long makes an angle of 35° with the ground. To the nearest 10th of a meter how far above the ground is the top of th
    10·1 answer
  • Using mixed numbers, write a problem in which an estimate is enough to solve the problem.​
    5·1 answer
  • Please help me I am stuck
    10·1 answer
  • PLS ANSWER ASAP<br> Subtract.<br> −13−(−27)<br> Enter your answer in the box.
    5·2 answers
  • Please answer all the questions.
    9·1 answer
  • Find the measure of the missing angle
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!