Write an equation in slope-intercept form of the line that passes through (−1, 4)​ and (0, 2)​

Answers

Answer 1

[tex]\text{Given that,}\\\\(x_1,y_1) = (-1,4), ~~ (x_2,y_2) =(0,2)\\\\\\\text{Slope,}~ m =\dfrac{y_2 -y_1}{x_2 -x_1} = \dfrac{2-4}{0-(-1)} = \dfrac{-2}{0+1} = -2\\\\\text{The equation with given points,}\\\\y-y_1 =m(x-x_1)\\\\\implies y -4 = -2(x+1)\\\\\implies y = -2(x+1)+4\\\\\implies y = -2x -2 +4\\\\\implies y = -2x +2\\\\\text{This is the slope-intercept form(y =mx +b)}[/tex]


Related Questions

A soccer club had 45 players. In a recent push to create more teams, they had a recruiting event. After the event the club had 71 players. Write an equation and solve for the number of players the club gained with the recruiting event.

Answers

Answer:

45+x = 71

26 players were added

Step-by-step explanation:

We start with 45 players

We ended with 71 players

We added x players

45+x = 71

Subtract 45 from each side

45+x-45 = 71-45

x =26

We added 26 players

Let gained players be x

Previous players=45New players=71

ATQ

[tex]\\ \sf{:}\dashrightarrow x+45=71[/tex]

[tex]\\ \sf{:}\dashrightarrow x=71-45[/tex]

[tex]\\ \sf{:}\dashrightarrow x=26[/tex]

Help with this polynomial problem.​

Answers

Answer:

i cannt see it

Step-by-step explanation:

If16 = x/20, then x=

Answers

Answer:

320

Step-by-step explanation:

16 × 20 = 320

To double check it, we insert 320 into the equation:

320 ÷ 20 = 16

1. Christina says the graph for the inequality r < -5 will be the same as the graph for the inequality -5 > r. Do you agree or disagree? Justify your reasoning. (Explain)​

Answers

Answer:

Agree

Step-by-step explanation:

Just copy and paste (without quotations): "I agree because r < -5 is just a flipped inequality of -5 > r. In other words, 'r is less than -5' is the same as '-5 is greater than r'."

someone said it is D CAN SOMEONE TELL ME THE RIGHT ONE

Answers

It is 1.16 ML

You welcome


8 x 10*-3
is how many times as great as 4 x 10*-6?
2 x10*3
2 x 10 *9

2 x 10 *-9

2 x 10-*_•-3

Answers

Answer:

[tex]\huge\boxed{2\times10^3}[/tex]

Step-by-step explanation:

[tex](8\times10^{-3})\div(4\times10^{-6})=\dfrac{8\times10^{-3}}{4\times10^{-6}}=\dfrac{8}{4}\times10^{-3-(-6)}=2\times10^{-3+6}=2\times10^3[/tex]

Used:

[tex]\dfrac{a^n}{a^m}=a^{n-m}\ \text{for}\ a\neq0[/tex]

if 24 bags of sugar with equal weight weigh 21 kg, how many bags of sugar would weigh 122kg?​

Answers

Answer:

24 bags = 21 kg

1.142 bag = 1 kg

About 139 bags = 122 kg

You start off with 24 bags that equal the same amount as 21 kg. You need to find out how many bags of sugar equal the same amount as 122 kg. The first line is a ratio and to find your answer you need to figure out what is 1 kilogram equal to in the amount of bags. You divide both sides by 21 leaving 1.142 bag equal to 1 kilogram. In order to find 122 kilograms, you have to multiply both sides by 122 kilograms which would give you about 139 bags = 122 kilograms.  

Your final answer: 139 bags

I hope this helped!

1/3x+80=1/2x+120 what’s the answer??

Answers

Answer:

−240

1/3x+80=1/2x+120

rico wants to buy a battery operated toy car which caused 580 7.50 he has already save one 50.00 points his ninong give him 200 point zero zero if he saved 12.50 a day from his allowance how long will it take him to save the rest of money to buy the toy car​

Answers

Answer:

19 days

Step-by-step explanation:

1 - Make an equation with the variables provided.

150 + 200 + 12.50x = 587.50

2 - Simplify both sides.

350 + 12.50x = 587.50

3 - Subtract 350 from both sides.

12.50x = 237.50

4 - Divide by 12.50 to find your x variable.

x = 19 days

Brainliest would be appreaciated! :-)

PLEASE HELP!!

I got about half way through the problem but I ddont know hiw to solve the rest :\

solve the radical equation.
[tex] \sqrt{x + 3} - 1 = x[/tex]

Answers

Answer:

The answer is x = 1

Hope this helps! :)

(sqrt) x + 3 = x + 1

x + 3 = x^2 + 2x + 1

x + 3 - x^2 - 2x - 1 = 0

-x + 2 - x^2 = 0

x^2 + x - 2 = 0

(x - 1) (x + 2) = 0

x = 1, -2

^^no negatives/canceled

x = 1

The answer is x = 1
You welcome

What is 7823× 10 to the 3 power?

Answers

Answer:

7823000

Step-by-step explanation:

Answer:

0 is the answer

7893 x 10 equal to 789300

16/48 times 6/8 solve it out for me please

Answers

Answer:

0.25

Step-by-step explanation:

You, can just use a calculator But Np

Good luck

Answer: 1/4

Step-by-step explanation:

16             6          96

_      X       _ =       _       = simplies down to 1/4

48              8          384

Please help me! No links, cheaters, or rude comments please!

Answers

Answer:

hmm i would say its -2 and 1/2.. although i am a little rusty at this..but this is what i choose

Step-by-step explanation:

Answer:

a and d is correct I did the test and got 100 .

Help help help math math

Answers

Answer:

Yes, it is a function

Step-by-step explanation:

A function is determined if each input, or x-value has 1 unique output, or y value. No x-value has more than 1 output here, so it is a function


4,6,9,...
Find the 8th term.
Find the 8th term.

Answers

Answer:

4, 6, 9, 12, 15, 18, 21, 24.

Step-by-step explanation:

The 8th term is 24.

just +2 (add 2) every time.

plz helppppppppppopppppp

Answers

Answer:
Measure of 6 is 143 and 7 is 37
Step by step explanation:

Which set of data has a mean of 11 and a mode of 7?
A. 7, 8, 22, 7, 11
B. 3, 5 , 7, 7, 11, 15
C. 2, 5, 7, 11, 23, 18

Answers

A. Has the mean of 11
B has the mode of 7

Answer:

its a.

Step-by-step explanation:

Help help help help help help help math

Answers

Answer:

Angle 6

Step-by-step explanation:

They are both the same angle size

Answer:

Angle 1

Step-by-step explanation:

Refer to the attached picture

Find the equation of the linear function represented by the table below in slope-
intercept form.
X
у
-3
-1
1
3
5
7.
9
11

Answers

The function rule is y=x+2

Answer:

Step-by-step explanation:

There are multiple ways to do this, but I'll go with the first one I learned and the simplest.

So the standard equation for linear functions is y=kx+b, right? Take two groups of (x,y) and plug them in.

Eg. (Taking (-3,-1) and (1,3)) -1=-3k+b and 3=k+b

By solving the above system, you get k=1, b=2. Put those into the standard equation and you get y=x+2, which is your answer.


A deposit of $1000 is made in an account that earns 8% interest compounded quarterly. The balance in the account after n quarters is given by the following sequence. Find the balance in the account after ten years.
a
=100.000)
n=1,2,3
The balance after ten years.

Answers

The balance after ten years is $2,208.04.

When an amount of money is compounded quarterly, it means that the amount deposited and the interest earns interest every quarter. The formula that can be used to determine the balance in 10 years is:

FV = P (1 + r)^nm

FV = Future value  P = Present value = $1000 R = interest rate = 8%/4 = 2% m = number of compounding = 4  N = number of years = 10

$1000 x (1.02)^40 = $2,208.04

To learn more about future value, please check: https://brainly.com/question/18760477

What is the ratio of 1/2 to 6?
(A) 12
(B) 3
(C)1/3
(D)1/6
(E) 1/12

Answers

Answer:

e, 1/12

Step-by-step explanation:

1) turn the first fraction into a whole number, the closest whole number being 1.

what did you multiply 1/2 by to get 1? the answer would be 2.

whatever you do to oneside, do to the other. when you multiply 6 by 2, you get twelve.

therefore, the answer is 1/12

Consider the equation of a circle x^{2} -2x + y^{2} - 4y - 4 = 0 if the line 2x - y + a = 0 is its diameter. then find the value of a?

Answers

Answer:

Step-by-step explanation:

Find the centre first by reoriganisation it into the form (x - cx)^2 + (y -cy)^2 = r^2

x^2 + y^2 + 6x -6y +5 = 0

(x + 3)^2 - 9 + (y - 3)^2 - 9 + 5 = 0

(x + 3)^2 + (y - 3)^2 = 13

The radius does not matter the centre is ( -3, +3)

The diameter must pass through the center so substituting into the equation for the line

2x-y+a = 0

-6 -3 + a = 0 so a = 9

The value of 'a' is 0 and this can be determined by using the standard form of the equation of a circle.

Given :

Equation of a Circle --   [tex]x^2-2x+y^2-4y-4=0[/tex]

Equation of a Line -- 2x - y + a = 0

The following steps can be used in order to determine the value of 'a':

Step 1 - First make the equation of a circle in standard form.

[tex]x^2-2x+y^2-4y-4=0[/tex]

[tex](x-1)^2-1+(y-2)^2-4-4=0[/tex]

[tex](x-1)^2+(y-2)^2 = 3^2[/tex]

Step 2 - From the above step, it can be concluded that the center of the circle is (1,2).

Step 3 - If (1,2) is the center of the circle then it also satisfies the equation of diameter (2x - y + a = 0).

2x - y + a = 0

2(1) - 2 + a = 0

a = 0

For more information, refer to the link given below:

https://brainly.com/question/23528207

Question is in image
Which best explains if qudrillateral WXYZ can be a parallelogram?

Answers

Answer:

  A

Step-by-step explanation:

If the figure is to be a parallelogram, opposite sides must be the same length. This requires ...

  15 = x +8   ⇒   x = 7 . . . . long sides equal length

and ...

  x +2 = 2x -5 . . . . . short sides equal length

  7 = x . . . . . . . . . . add 5-x

The value x=7 will make opposite long sides have lengths 15 mm and opposite short sides have lengths 9 mm.

Figure WXYZ can be a parallelogram with one pair of sides measuring 15 mm and the other pair measuring 9 mm.

If the nth term of an AP is (7-4n) then its common difference is​

Answers

Given nth term of an AP = 7-4n

Put n = 1 then t1 = 7-4(1) = 7-4 = 3

Put n = 2 then t2 =7-4(2) = 7-8 = -1

Common difference = t2-t1 = -1-3 = -4

8. Which of the following are equivalent expressions?
a) x2, -X2, -(x2)
b) 3x - 7, (3x) - 7, 3(x - 7)
c) -2x + 8, -(2x + 8), -(2x - 8)
+

Answers

Answer:

a) -x2 , -(x2)

b)3x-7 , (3x) - 7

c) -2x+8 , -(2x-8)

Select all that apply.
Zack is taking a test in which he answers questions at a rate of question per minute. If Q represents questions and
M represents minutes, which of the following equations describe this rate relationship?
M= 20 x Q
Q = 2 x M
M=1/2 x Q
Q=1/2 x M

Answers

The equation Q = 2 x M represents the relationship between question and time.

What is an equation?

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

Given that,

Zack takes a test, in which he answers at rate of 2 question per minute.

Also, Q represents questions

And M represents minutes.

According to given condition,

In 1 minute, Zack answers 2 question,

In M minutes, Zack answers 2 x M question,

Total questions presented by Q,

Q = 2 x M.

The required relationship for M and Q is Q = 2 x M.

To know more about Equation on:

https://brainly.com/question/187506

#SPJ1

How many sixes are equal to double 27?

Answers

Answer:

its not sixes theres 4 sixes equal 24 so there is no answer

Step-by-step explanation:

can i have brainliest pls

Answer:

9

Step-by-step explanation:

Double 27 is 54. 6 times 9 is 54

Which expression is equivalent to 8.2 + 14 + 9x – 5?
A. 260
B. 362
C. 172 +9
D. 170 +19. HELPPPPP

Answers

Answer:

C

Step-by-step explanation:

i need a points point muna

Answer:172 +9

Example:i need points

A store is having a sale on trail mix and jelly beans. For 5 pounds of trail mix and 3 pounds of jelly beans, the total cost is $17. For 2 pounds of trail mix and 12 pounds of jelly beans, the total cost is $23. Find the cost for each pound of trail mix and each pound of jelly beans.

Answers

Answer:

Trail Mix costs $2.50 per pound, and Jelly Beans cost $1.50 per pound.

Step-by-step explanation:

Using x for trail mix and y for jelly beans, we have a system of equations being

[tex]\left \{ {{5x+3y=17} \atop {2x+12y=23}} \right.[/tex]

We can solve this system using substitution

5x+3y=17

Divide by 5 to have a coefficient of 1 before x

[tex]x+\frac{3}{5} y=\frac{17}{5}[/tex]

Subtract [tex]\frac{3}{5} y[/tex] from each side to single out one variable to one side

[tex]x=\frac{17}{5} -\frac{3}{5} y[/tex]

Now, we can plug in our value for x into the given equation

[tex]2(\frac{17}{5} -\frac{3}{5} y)+12y=23[/tex]

Open the parentheses

[tex]\frac{34}{5} -1\frac{1}{5} y+12y=23[/tex]

Merge Y values

[tex]6.8+10.8y=23[/tex]

Separate numerical values from variables

[tex]10.8y=16.2[/tex]

Divide by 10.8 in order to have a coefficient of 1

[tex]y=1.5[/tex]

Now that we have one of the values, we know that a pound of jelly beans costs $1.50. We can now plug in 1.5 for y into one of our equations to find x.

[tex]5x+3(1.5)=17[/tex]

Open parentheses

[tex]5x+4.5=17[/tex]

Single out the variable

[tex]5x=12.5[/tex]

Divide by 5 to have a coefficient of 1 before x

[tex]x=2.5[/tex]

[tex]y=1.5[/tex]

order of operations : simplify completely (6-2X2)X3

Answers

Answer:

6 is the answer.

Step-by-step explanation:

Using PEMDAS, let's solve.

(6 - 2 x 2) x 3(6 - 4) x 32 x 36

Therefore, 6 is the answer.

Hoped this helped.

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