Como Determinar a equação da reta que passa pelos pontos A(-1, -2) e B(5,2)

Answers

Answer 1

Answer:

A equação da reta é dada por: [tex]y = \frac{2}{3}x - \frac{4}{3}[/tex]

Step-by-step explanation:

Equação de uma reta:

A equação de uma reta tem o seguinte formato:

[tex]y = ax + b[/tex]

Em que a é o coeficiente angular e b é o coeficiente linear.

Coeficiente angular:

Com posse de dois pontos, o coeficiente angular é dado pela mudança em y dividida pela mudança em x.

A(-1, -2) e B(5,2)

Mudança em y: 2 - (-2) = 2 + 2 = 4

Mudança em x: 5 - (-1) = 5 + 1 = 6

Coeficiente angular: [tex]m = \frac{4}{6} = \frac{2}{3}[/tex]

Então:

[tex]y = \frac{2}{3}x + b[/tex]

Coeficiente linear:

Substituindo um ponto na equação, encontra-se o coeficiente linear.

B(5,2)

Quando [tex]x = 5, y = 2[/tex]. Então:

[tex]y = \frac{2}{3}x + b[/tex]

[tex]2 = \frac{2}{3}5 + b[/tex]

[tex]b = 2 - \frac{10}{3} = \frac{6}{3} - \frac{10}{3} = -\frac{4}{3}[/tex]

Então:

[tex]y = \frac{2}{3}x - \frac{4}{3}[/tex]


Related Questions

x + 9x + 5 = 35 . Find value of x.

Answers

Answer:

x = 3

Step-by-step explanation:

x + 9x + 5 = 35

=> x + 9x = 35 - 5

=> x + 9x = 30

=> 10x = 30

=> x = 30/10

=> x = 3

Answer:

x = 3

Step-by-step explanation:

Combine like terms. Like terms have same variable with same exponent.

Here x and 9x are like terms

x + 9x + 5  =  35

     10x + 5 = 35

Subtract 5 from both sides

10x + 5 - 5 = 35 - 5

       10x = 30

Divide both sides by 10

10x/10 = 30/10

x = 3

ATRI has vertices T(-2,4), R(2,4), and 1(0,0). IS ATRI scalene, isosceles, or equilateral?
Is ATRI scalene, isosceles, or equilateral?
equilateral
isosceles
scalene

Answers

the answer is quilateral

el jefe decidió agregar la tabla de frecuencias correspondiente a la edad de sus empleados tal Como se muestra a continuación Cuál es el promedio de edad de los empleados de la empresa​

Answers

Answer:

Average employee [Mean] = 43.6

Step-by-step explanation:

Given:

Interval   Number of employee

25-35                      20

35-45                      7

45-55                      8

55-65                     15

Total                       50

Find:

Average employee [Mean]

Computation:

Interval     X[u+l]/2 Number of employee   fx

25-35         30           20                              600

35-45         40             7                              280

45-55         50            8                              400

55-65         60            15                             900

Total                           50                            2,180

Average employee [Mean] = Sum of fx / Sum of x

Average employee [Mean] = 2,180 / 50

Average employee [Mean] = 43.6

Answer:

aeaaa

Step-by-step explanation:

What is the range of this set of heights in centimeters? {140, 166, 132, 165, 152, 168, 181, 158, 173, 171, 180, 182, 163, 177, 180, 142, 147, 149, 178} 38 41 46 50

Answers

Answer:

50

Step-by-step explanation:

Given:

140, 166, 132, 165, 152, 168, 181, 158, 173, 171, 180, 182, 163, 177, 180, 142, 147, 149, 178

Arranging in ascending order (from the lowest to the highest)

= 132, 140, 142, 147, 149, 152, 158, 163, 165, 166, 168, 171, 173, 177, 178, 180, 180 181, 182

Range = highest number - lowest number

= 182 - 132

= 50

Answer:

50

Step-by-step explanation:

              None

                     

             

             

 

         

The question is in the image

Answers

Answer:

h(t) = -5*t^2 + 20*t  + 2

Step-by-step explanation:

First, we know that the motion equation of the ball will be quadratic, so we write the equation:

h(t) = a*t^2 + b*t + c

Now we need to work with the data in the table.

h(1) = 17

h(3) = 17

h(1) = h(2) = 17

Then we have a symmetry around:

(3 - 1)/2 + 1 = 2

Remember that the symmetry is around the vertex of the parabola, then we can conclude that the vertex of the parabola is the point:

(2, h(2)) = (2, 22)

Remember that for a quadratic equation:

y = a*x^2 + b*x + c

with a vertex (h, k)

we can rewrite our function as:

y = a*(x - h)^2 + k

So in this case, we can rewrite our function as:

h(t) = a*(t - 2)^2 + 22

To find the value of a, notice the first point in the table:

(0, 2)

then we have:

h(0) = 2 = a*(0 - 2)^2 + 22

         = 2 = a*(-2)^2 + 22

            2 = a*(4) + 22

           2 - 22 = a*(4)

            -20/4 = -5 = a

Then our function is:

h(t) = -5*(t - 2)^2 + 22

Now we just expand it:

h(t) = -5*(t^2 - 4*t + 4) + 22

h(t) = -5*t^2 + 20*t  + 2

The correct option is the first one.

Ayden's monthly bank statement showed the following deposits and withdrawals:
-−$21.78, -−$26.26, -−$91.08, $63.64, $100.54
If Ayden's balance in the account was $40.85 at the beginning of the month, what was the account balance at the end of the month?

Answers

$65.91 should be the account balance at the end of the month

simplify 18÷3x2+1 please

Answers

Answer:

the answer is gonna be

6x^2+1

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\huge\textsf{Just do PEMDAS}\\\\\\\huge\textsf{Parentheses}\\\\\huge\textsf{Exponents}\\\\\huge\textsf{Multiplication}\\\\\huge\textsf{Division}\\\\\huge\textsf{Addition}\\\\\huge\textsf{Subtraction}[/tex]

[tex]\large\textsf{18 }\div\large\textsf{ 3 }\times\large\textsf{ 2 + 1}\\\\\\\large\textsf{18 }\div\large\textsf{ 3 = \bf 6}\\\\\\\large\textsf{6 }\times\large\textsf{ 2 + 1}\\\\\\\large\textsf{6 }\times\large\textsf{ 2 = \bf 12}\\\\\\\large\textsf{12 + 1}\\\\\\\large\textsf{= \bf 13}\\\\\\\boxed{\boxed{\huge\textsf{Answer: \bf 13}}}\huge\checkmark[/tex]

[tex]\huge\textsf{Or you could if your equation is: }\\\\\large\textsf{18}\div\large\textsf{3x}\mathsf{^2}\large\textsf{ + 1}[/tex]

[tex]\large\textsf{18}\div\large\textsf{3x}\mathsf{^2}\large\textsf{ + 1}\\\\\large\textsf{18}\div\large\textsf{3x}\mathsf{^2}\large\textsf{ = \bf 6x}\mathsf{\bf ^2}\\\\\large\textsf{= \bf 6x}\mathsf{\bf ^2 \ + }\large\textsf{ \bf 1}\\\\\\\\\\\boxed{\boxed{\large\textsf{Answer: \bf 6x}\mathsf{\bf ^2}\large\textsf{ \bf + 1}}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

what is 0.7dm to nm is? please help asap​

Answers

Step-by-step explanation:

0.7 decimeter =

70,000,000 nanometers

The answer is 70,00,000 hope this helps you out :)

How many solutions are there to the equation below? 9(x – 4) = 9x – 33

Answers

Answer:

There are 0 solutions

Step-by-step explanation:

9(×-4)=9×-33

9×-36=9×-33

9×-9×-36=-33

-36=-33 and it's impossible

so there's 0 solutions

1/5 + 3/4 + 1/2
please helpppo asap

Answers

Answer:

29/20 or 1 9/20 or 1.45

Answer:

[tex]\frac{1}{5}+\frac{3}{4}+\frac{1}{2}[/tex]

lease common multiplier of 5,4,2 is 20

[tex]\frac{4}{20}+\frac{15}{20}+\frac{10}{20}[/tex]

[tex]Add\: 4+15+10= 29[/tex]

[tex]1/5+3/4+1/2=29/20[/tex]

[tex]Answer :\frac{29}{20}[/tex]

--------------------------

hope it helps

have a great day!!

You want to change your cell phone service. The new company charges $40 per
month for cell phone use. There is a one-time start-up fee of $25. Which equation
shows the total cost of your cell phone service over time?

Answers

Answer:

y=40x+25

plz mark brainliest

pleeeeaaasssseeeee help

Answers

Step-by-step explanation:

Explanation is in the attachment

n=84°p=84°q=96°v=84°w=138°

hope it is helpful to you

What is the greatest common factor of 60x4y7, 45x5y5, and 75x3y?
5xy
15x3y
45x3y5
75x5y7

Answers

Answer:

15x3y.

Step-by-step explanation:

.

Hi!

The greatest common factor of 60x⁴y⁷, 45x⁵y⁵ and 75x³y is 15x³y

Rewrite 1/5 barrel and 1/2 as a Unit rate

Answers

The answers to the questions above are .2(20%) and .5(50%)

1. What does each expression equation represent in this situation? Q(18) b. Q(30) = 27.5​

Answers

Answer:

Step-by-step explanation:

Q(18) is a direction. It means that wherever you see a variable like x on the right, you put an 18 in for it. For example Suppose the right looked like

Q(x) = x^2 + 10 Then Q(18) would mean

Q(18) = 18^2 + 10

Q(18) = 324 + 10

Now we come to the second equation (b)

What that means is that after you do all the calculations, your answer is

27.5

So for the first question(a) Q(18) = 334

A is the direction of what to do. It is the question.

B is the answer

PLEASE HELP! asap:)
i would really appreciate it

Answers

Answer:

[tex]{ \tt{ = 2\pi \: rh}} \\ = 2 \times 3.14 \times 12 \times 1 \\ = 75.4 \: {cm}^{2} [/tex]

Which equation has the steepest graph?
A. y= 10x-5
O B. y=-14x+1
C. y= {x-9
D. y= 2x + 8

Answers

I’m pretty sure it’s B i did that question last week

given that Tn = -4n^2+56n-180 , determine the biggest numerical value of Tn​

Answers

The solution and answer are well written in the Pic above.

Find the greatest common factor of the
following monomials:
36m3n4. 2m5n3. 4m6n6

Answers

Answer:

2m^3n^3

Step-by-step explanation:

Let us start with the number parts

36 , 2 and 4

2 is common here as it can divide all

The smallest m factor is m^3 so it is common for all

The smallest n factor is n^3 which is also common for all

So, we have the greatest common factor as;

2 * m^3 * n^3 = 2m^3n^3

I need help in these questions please !​

Answers

Answer:

b,b.a

Step-by-step explanation:

3 (x - 2) = 2 (x - 3)

Answers

3x-6=2x-6
3x=2x
x=0
You can see that if you plug in 0, you get: 3(-2)=2(-3)

Answer:

x = 0

Step-by-step explanation:

Given equation to us is ,

[tex]\sf\implies 3 (x - 2 ) = 2( x - 3 )[/tex]

And we need to find out the value of x.

Step 1 : Open the parentheses :-

[tex]\sf\implies 3x - 6 = 2x - 6 [/tex]

Step 2: Put all variables on one side :-

[tex]\sf\implies 3x - 2x = -6+6 [/tex]

[tex]\sf\implies\boxed{\bf x = 0 }[/tex]

No trolling please. I will mark brainlist

Answers

x= Kaden
Quan= 15

4/5 (3x-10) = 15
12/5x-8 = 15
12x- 40= 75
12x= 40+ 75
12x = 115
x= 115/12
x= 9.583

Answer:

A) $35.80

B) $28.64

Step-by-step explanation:

I'm not sure tho it might be wrong

Jesse spends 1/2 of his pocket money on Monday.
On Tuesday, he spends 2/3 of what is left.
On Wednesday, he spends 1/4 of what remains.
What fraction of the pocket money does he have left? Choose the most
reasonable answer

Answers

Answer:

The fraction of the pocket money she left is 1/8.

Step-by-step explanation:

Let the total pocket money is p.

Spent on Monday = p/2

Amount left = p - p/2 = p/2  

Spent on Tuesday = 2/3 of p/2 = p/3

Amount left = p/2 - p/3 = p/6

Spent on Wednesday = 1/4 of p/6 = p/24

Amount left = p/6 - p/24 = p/8

So, the fraction of the pocket money she left is 1/8.  

Wavelength varies inversely with frequency. Let k be the product of wavelength and frequency. Complete the table using the inverse variation relationship.

Answers

Answer:

Wavelength varies inversely with frequency.

Step-by-step explanation:

Wavelength varies inversely with frequency.

[tex]\lambda\propto \dfrac{1}{f}\\\\\lambda=\dfrac{k}{f}\\\\\lambda f=k[/tex]

Where

k is the constant and it is equal to the product of wavelength and frequency. It means when wavelength increases, the frequency decreases and vice versa.

Solve the following system. The solution set {( , ), ( , )}.

Answers

How am I supposed to solve without no numbers

what is the solution 2/3x+3 x=-2

Answers

Answer:

5/3 or 0.666666666667

Step-by-step explanation:

2/3*(-2)+3

5/3 or 0.666666666667 (Solved by calculator)

The numerical coefficient of -2pqr

Answers

Answer:  -2

Explanation: The coefficient is the number to the left of the variable.

Another example would be that 10xy has the coefficient 10.

Something like x^2 has coefficient 1 because x^2 = 1x^2.

There are 15 chairs arranged in a row, in an auditorium. The distance between adjacent chairs is ¼ of a meter. Find the distance between the first and the last chair in the same row.​

Answers

Answer:

ok so there is 1/4 of a meter between 15 chairs so

1/4*5= 1.25

so there is 1 and a quarter meter between the first and the last

Hope This Helps!!!

Hi, I'm new, please can you help me with these math exercises Thank you very much
:3 given the algebraic fraction p (x) 2x2-2x determine its numerical value for x: 3 3x-1 given the algebraic fraction p (xy) - 3xy-y2 + x xy- + determine its numerical value for x- {3 y- {2 p (x, y) part 2: perform the following exercises by factoring a) b8 p4 + b: up3 -12 b7 p2 + 15u2 + b3 p5: b ) 32 p2 -24 p3 + 16 p2 -8 p4: part 3: perform the following equations a) 4x + 5 + 2: 3x-2 + 5b) 2-9x + 6: 2x-4x-6c) 3x-5 + 2: 2 + 4x-3d) bx-5x + 4: 3x + 5x + 2
thank you

Answers

Chori tiene un culo bien grabador

what are the x- intercepts of the function f(x)= -2x-3+20?

Answers

Answer:

x = .464

Step-by-step explanation:

Assumptions: Equation is [tex]-2x^3+20[/tex]. Thus having an asymptote at the value x=0.

To solve for the x-intercepts, we plug in 0 for f(x).We can subtract 20 from both sides, leaving us with [tex]-20 = -2x^-3.[/tex]We can divide both sides by -2. [tex]10=1/x^3[/tex].Now we multiply both sides by x^3, to get rid of the denominator on the right-hand side. [tex]10x^3=1[/tex].We now divide both sides by 10 and take the cube root. Leaving us with x = [tex]\sqrt[3]{1/10}[/tex] or .464. (One x-intercept.)
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