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
maw [93]
3 years ago
10

WHOEVER EXPLAINS ALL THEIR WORK AND GOES THROW EAXH STEP WILL GET BRAINLEST THAT IS COMPLETELY FINISEHD. write the equation of t

he line that goes through the points (3,2) (4,-1) show ALL steps and EXPLAIN what you are doing in each step. you will be graded on showing all the steps and your explanation.
Mathematics
1 answer:
neonofarm [45]3 years ago
6 0

Answer:

y = -3x+11

Step-by-step explanation:

I accept your challenge!

First we know that a equation of the line is a linear equation, and its equation is:

y = mx+b

m: \text{slope}\\b: \text{y-intercept}

In this context, the slope, defined as the steepness of a line is characterized as the ratio of RISE (the difference in the y-coordinates, the vertical change) over the RUN (the difference in x-coordinates, the horizontal change).

$m=\frac{\text{change in y}}{\text{change in x}}=\frac{\Delta y}{\Delta x}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}   $

Once we know two points where the line goes through, we can get the slope, once we know the change in y and x.

I will take (3,2) as Point 1 and (4,-1) as Point 2.

So, x_{1}=3 \text{ and } y_{1}=2\\x_{2}=4 \text{ and } y_{2}=-1

$m=\frac{\text{change in y}}{\text{change in x}}=\frac{\Delta y}{\Delta x}=\frac{-1-2}{4-3}   $

$m=\frac{-3}{1}=-3 $

Now we have to find the y-intercept:

To do so, think about the the points given and the nearly finished equation, we can find b with those two informations.

Our currently equation of the line is:

y = -3x+b

Using the points, take Point 1 as an example, it says that when x = 3, y = 2, so plugging it in the equation:

2 = -3(3)+b\\2 = -9+b\\11 = b

Taking the Point 2

-1 = -3(4)+b\\-1 = -12+b\\11 = b

Now we found b! The equation is complete!

y = -3x+11

You might be interested in
Does anyone know the answer to this question
lys-0071 [83]

ANSWER

\cos B = \frac{ \sqrt{3} }{3}

EXPLANATION

The given triangle is a right triangle.

It was given that,

a = 1

and

b =  \sqrt{2}

Using the Pythagoras Theorem, we can determine the value of c.

{c}^{2}  =  {( \sqrt{2} )}^{2}  +  {1}^{2}

{c}^{2} = 2 +  1

{c}^{2} = 3

c =  \sqrt{3}

The ratio is the adjacent over the hypotenuse.

\cos B =  \frac{1 }{ \sqrt{3} }

We rationalize to get:

\cos B =  \frac{ \sqrt{3}  }{ \sqrt{3}  \times  \sqrt{3} }  =  \frac{ \sqrt{3} }{3}

3 0
3 years ago
PLEASE ANSWER FAST!!!!
Aleonysh [2.5K]
The answer is 143184!
6 0
3 years ago
Using the rule y = 4x , find thr value of y when x is 5
Sidana [21]

Answer:

y=4(5) =20

Step-by-step explanation:

6 0
2 years ago
Its 6 ya'll if you think it no it 6
snow_lady [41]

Answer:

HUH? What do you mean about that?

7 0
2 years ago
Determine the complement and/or supplement of each angle. If it is not possible, explain.
Alecsey [184]

Answer:

  • complement: 32.8°
  • supplement: 122.8°

Step-by-step explanation:

The sum of an angle A and its complement C is 90°:

  A + C = 90°

  C = 90° -A . . . . . subtract A from both sides.

That is, the complement of an angle is found by subtracting the angle from 90°.

__

The sum of an angle and its supplement is 180°. This means the supplement of an angle is found by subtracting the angle from 180°. You may notice the supplement is 90° more than the complement.

  A + S = 180°

  S = 180° -A = 90° +(90° -A)

__

For the given angle, the complement is ...

  C = 90° -57.2° = 32.8°

And the supplement is ...

  S = 180° -57.2° = 122.8°

_____

<em>Additional comment</em>

We generally like angle measures to be positive (as with all measures in geometry). Hence, we might say that the complement of an angle greater than 90° does not exist. YMMV

3 0
3 years ago
Other questions:
  • A polynomial of degree zero is a constant term.<br><br> A. True<br> B. False
    11·1 answer
  • lois invests 650 every 6 months at 4.6%/a compounded semi-annually for 25 years. How much interest will she earn after the 25th
    10·1 answer
  • Which word best describes the degree of overlap between the two data sets? moderate none high low Two line plots with the same s
    10·2 answers
  • Alexa mom has 3 kids. Their names are Ally and Alex, what is the 3rd ones name.?
    9·2 answers
  • An accounting firm is trying to decide between IT training conducted in-house and the use of the third party consultants. To get
    10·1 answer
  • What is the solution to the inequality?
    10·2 answers
  • Plz help i need need i know the question is really easy but my brain has stopped working
    5·2 answers
  • The Domain of a functions has which values?
    10·1 answer
  • a book store carries 90 magazines. 90% of the magazines are women's magazines how many men magazines does the bookstore carry?
    12·2 answers
  • Do the ratios 10:20 and 2:24 form a proportion?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!