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
SVEN [57.7K]
2 years ago
15

Write an equation in standard form for the line that passes through the given points.

Mathematics
1 answer:
Agata [3.3K]2 years ago
8 0

So, pretend this is your x-axis and y-axis:

                                   I

        I

   (-2,7) •  I

        I

        I       • (2, 5)

        I

        I

        I  

        I

 _________________I____________________

        I

        I

        I

TO GET FROM POINT (-2, 7) TO POINT (2, 5), WE MOVE DOWN 2 AND OVER 4, SO THE SLOPE IS -1/2. IF WE FOLLOW THAT SLOPE AND MOVE DOWN 1 AND OVER 2 FROM THE FIRST POINT OF  (-2, 7), WE WILL LAND ON A POINT LOCATED AT (0, 6), WHICH WOULD BE THE "Y-INTERCEPT". WE WERE JUST ABLE TO CALCULATE THE SLOPE OF THE LINE AND THEN USE THE SLOPE TO FIND THE INTERCEPT. SO, THE "SLOPE-INTERCEPT" FORM OF THE EQUATION FOR THIS LINE IS:

y = -1/2x + 6

TO RE-WRITE THIS IN STANDARD FORM, WE JUST WANT TO MOVE THE X VARIABLE OVER TO THE LEFT WITH THE Y VARIABLE, SO:

y = -1/2x + 6

+1/2x   + 1/2x

1/2x + y = 6 .... and that is your answer!

You might be interested in
A tree double in weight in three months. How long will it take to be 1600% in weight? (Linear or exponential growth?)
Ray Of Light [21]

Answer: 12 months

Step-by-step explanation:

Given : A tree double in weight in three months.

Since the weight is increasing by growth factor of 2 , therefore its is an exponential growth.

The exponential growth equation is given by :-

y=Ab^x   (1)

, where A is the initial values , b is the growth factor and x is the time period.

As per given , b= 2

Since the tree doubles in weight in three months, so time period x =\dfrac{t}{3} , where t= number of months.

Substitute the value of  b and x in (1) , we get

y=A(2)^{\dfrac{t}{3}} , where y= weight of tree after t months and A is initial weight of tree.

When it will be 1600% of his initial weight , the weight of tree : y= 1600% of A =\dfrac{1600}{100}\times A=16A

At y= 16 A , 16A=A(2)^{\dfrac{t}{3}}

\Rightarrow\ 16=2^{\dfrac{t}{3}}

\Rightarrow\ 2^{4}=2^{\dfrac{t}{3}}

\Rightarrow\ 4=\dfrac{t}{3}\Rightarrow\ t=3\times4=12

Hence,  it will take 12 months to be 1600% in weight.

6 0
3 years ago
Simplify the complex number. Express your answer in a + bi form and include each step necessary in simplifying.<img src="https:/
insens350 [35]
\dfrac{x+iy}{u+iv}\times\dfrac{u-iv}{u-iv}=\dfrac{(x+iy)(u-iv)}{u^2-(iv)^2}
=\dfrac{xu-i^2yv+iyu-ixv}{u^2+v^2}
=\underbrace{\dfrac{xu+yv}{u^2+v^2}}_a+i\underbrace{\dfrac{yu-xv}{u^2+v^2}}_b
3 0
3 years ago
Answer as many as you can pleaseeeeeee
rjkz [21]

Answer:

8. G 9. C 10. G 11. A 12.?

Step-by-step explanation:

8 0
3 years ago
According to data from the state blood program, 40 percent of all individuals have group A blood. If six individuals give blood,
Serjik [45]

Answer: 0.27648

Step-by-step explanation:

Given : The proportion of all  individuals have group A blood : p=0.040

Total individuals give blood : n= 6

Let X be the number of individuals have group A blood.

Since all individual are independent of each other.

X\sim Bin(n=6, p=0.40)

Formula : P(X=x)=^nC_xp^x(1-p)^{n-x} , where n= sample size , p = probability of getting success in each trial.

The probability that exactly three of the individuals have group A blood. :

P(x=3)= ^6C_3(0.40)^3(1-0.4)^3\\\\= \dfrac{6!}{3!3!}\times(0.40)^3(0.60)^3\\\\=0.27648

The probability that exactly three of the individuals have group A blood. is 0.27648

8 0
3 years ago
5(k - 78) = 40<br> Please help
solong [7]

Answer:

k=86

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Other questions:
  • a bookcase has 2 shelves the top shelf has 10 more than 1/3 the number of books on the bottom shelf. there are 12 books on the b
    5·1 answer
  • Allison has 3 containers with 25 crayons in each.She also has 4 boxes of markers with 12 markers in each box.She gives 10 crayon
    9·2 answers
  • The independent variable of a data set is w, while the dependent variable is x. Which of these is a response variable?
    8·2 answers
  • An adult blue whale can eat 4.0 x 10 square root 7 krill in a day, At that rate, how many krill ca an adult blue whale eat in 3.
    13·1 answer
  • David's cafe sold 302 cups of coffee on monday. They sold 169 on Tuesday. How many more cups did they sell on Monday?
    15·1 answer
  • What is the Y intercept of f(x) = (1/4)^x?
    7·1 answer
  • The surface of water can act like a sort os skin due to a property of liquids called
    7·1 answer
  • 8.7(9.483 find the quotient
    15·1 answer
  • Which of the following equations has a solution of x = -5?
    10·2 answers
  • What is bond laddering?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!