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

Answers

Answer 1

Answer:

y = -2x + 2

General Formulas and Concepts

Pre-Alg

Order of Operations: BPEMDAS

Algebra I

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (-1, 4)

y-intercept (0, 2)

Step 2: Find slope m

Substitute:                    [tex]m=\frac{2-4}{0+1}[/tex]Subtract/Add:               [tex]m=\frac{-2}{1}[/tex]Divide:                          [tex]m=-2[/tex]

Step 3: Write linear equation

y = -2x + 2


Related Questions

Three less than “x” is equal to 13.

Answers

Answer:X=16

Step-by-step explanation:

16-3=13

Answer:16

Step-by-step explanation:16-3=13

What can you do with python on a Chromebook

I am on a Chromebook and lately I have been leaning python on my PC at home, I had saw a video on how you could make python bots but that was on window OS and i am just asking if there is any thing cool i could be doing on my Chromebook and if possible only need a google chrome tab to work"

Answers

Answer:

i dont think u can on a chrome book

Does the table represent a proportional or a nonproportional linear relationship?​

Answers

Answer:

nonproportional

Step-by-step explanation:

proportional would mean that the y intercept is 0 but it's 3

which is incorrect rounding for 53.864?
Please help me!

Answers

Answer:

52

Step-by-step explanation: This would be incorrect because 53.864 must round up.

What is the solution of the system? Use elimination.
2x + 2y +z = 7
-X – y +z = -5
x + 3y – 4z = 12

Answers

Answer:

The solutions to the system of the equations by the elimination method will be:

[tex]x=2,\:z=-1,\:y=2[/tex]

Step-by-step explanation:

Given the system of the equations

[tex]2x\:+\:2y\:+z\:=\:7[/tex]

[tex]-x-\:y\:+z\:=\:-5[/tex]

[tex]x+3y-4z=12[/tex]

solving the system of the equations by the elimination method

[tex]\begin{bmatrix}2x+2y+z=7\\ -x-y+z=-5\\ x+3y-4z=12\end{bmatrix}[/tex]

[tex]\mathrm{Multiply\:}-x-y+z=-5\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:-2x-2y+2z=-10[/tex]

[tex]\begin{bmatrix}2x+2y+z=7\\ -2x-2y+2z=-10\\ x+3y-4z=12\end{bmatrix}[/tex]

[tex]-2x-2y+2z=-10[/tex]

[tex]+[/tex]

[tex]\underline{2x+2y+z=7}[/tex]

[tex]3z=-3[/tex]

[tex]\begin{bmatrix}2x+2y+z=7\\ 3z=-3\\ x+3y-4z=12\end{bmatrix}[/tex]

[tex]2x+6y-8z=24[/tex]

[tex]-[/tex]

[tex]\underline{2x+2y+z=7}[/tex]

[tex]4y-9z=17[/tex]

[tex]\begin{bmatrix}2x+2y+z=7\\ 3z=-3\\ 4y-9z=17\end{bmatrix}[/tex]

Rearranging the equations

[tex]\begin{bmatrix}2x+2y+z=7\\ 4y-9z=17\\ 3z=-3\end{bmatrix}[/tex]

solve [tex]3z=-3[/tex] for z:

[tex]z=-1[/tex]

[tex]\mathrm{For\:}4y-9z=17\mathrm{\:plug\:in\:}z=-1[/tex]

solve  [tex]4y-9\left(-1\right)=17[/tex] for y:

[tex]4y-9\left(-1\right)=17[/tex]

[tex]4y+9=17[/tex]

[tex]4y=8[/tex]

[tex]y=2[/tex]

[tex]\mathrm{For\:}2x+2y+z=7\mathrm{\:plug\:in\:}z=-1,\:y=2[/tex]

solve [tex]2x+2\cdot \:2-1=7[/tex] for x:

[tex]2x+2\cdot \:2-1=7[/tex]

[tex]2x+3=7[/tex]

[tex]2x=4[/tex]

[tex]x=2[/tex]

Therefore, the solutions to the system of the equations by the elimination method will be:

[tex]x=2,\:z=-1,\:y=2[/tex]

HI GUYS, PLEASE HELP ME FOR THE ALGEBRAIC EXPRESSOIN 6x=yx2+5​

Answers

Step-by-step explanation:

6x=2x+5

6x-2x=5

4x=5

4x/4=5/4

X=1.25

Write each algebraic expression in words.
Then evaluate each expression for n = 6.
a) 4n:
b) n + 8:
c) n/2:
d) 7 + 3n:
e) 10n – 15:
f) 50 – 8n:
Please help :(((

Answers

a) 4 times a number; 4(6) = 24

b) a number plus 8; (6) + 8 = 14

c) a number divided by 2; (6)/2 = 3

d) 7 added to a number multiplied by three; 7 + 3(6) = 25

e) 15 subtracted from 10 times a number; 10(6) -15 = 45

f) 8 times a number subtracted from 50; 50 - 8(6) = 2

I hope this helps!

*PLEASE ANSWER, I DON"T GET IT*
Which compound inequalitiy represents the inequality |y – 3| − 4 ≤ −3?
a.) −1 ≤ y – 3 OR y – 3 ≤ 1
b.) y – 3 ≤ −1 AND y – 3 ≥ 1
c.) −1 ≤ y – 3 AND y – 3 ≤ 1
d.) y – 3 ≤ −1 OR y – 3 ≥ 1

Answers

The explanation is on the board if you have a question just comment

The compound inequality represents the given inequality is y-3≤1 OR -1≤y-3. Therefore, option A is the correct answer.

The given inequality is |y – 3| − 4 ≤ −3.

What is compound inequality?

A compound inequality is a sentence with two inequality statements joined either by the word “or” or by the word “and.” “And” indicates that both statements of the compound sentence are true at the same time. It is the overlap or intersection of the solution sets for the individual statements. “Or” indicates that, as long as either statement is true, the entire compound sentence is true. It is the combination or union of the solution sets for the individual statements.

Now, solve inequality |y – 3| − 4 ≤ −3.

Add 4 on both sides of the inequality.

That is, |y – 3| − 4+4 ≤ −3+4

y-3≤1 OR -1≤y-3

The compound inequality represents the given inequality is y-3≤1 OR -1≤y-3. Therefore, option A is the correct answer.

To learn more about compound inequality visit:

https://brainly.com/question/20296065.

#SPJ2

In the diagram shown, ZFEH is a right angle. If mZHEG = 41° then which statement below is true? ​

Answers

Answer:

uuuuuuuuuuuuuu

Step-by-step explanation:

can someone help do the steps please

Answers

Answer:

-9=b

Step-by-step explanation:

1. combine multiple turns into a single fraction.

2. multiple all terms by the same value to eliminate

fraction denominators.

3. simplify

4. divide both sides of the equation by the same term

5. simplify

I need to know how to write the function with the steps needed to solve.

Answers

9514 1404 393

Answer:

  f(t) = 17.5cos(π(t-7)/6) +59

Step-by-step explanation:

When modeling earth data that has a daily or annual cyclic variation, the simplest sort of model is a sine or cosine function of some sort. Generally, its period will be 1 day or 1 year (or about 1/2 day, if you're modeling tides).

To write the trig function, you need to know ...

Amplitude (A)Offset (D)Period (here, 1 year) (B)Phase shift (C)

These values will go into the general form ...

  f(t) = A·cos(2π(t -C)/B) +D

__

In this particular form, the cosine function has a value of 1 when t=C, so we can choose C to be the value of t where f(t) is a maximum. In your data table, the maximum temperature is in July, where you have said t=7. So, C=7.

The period is 12 months, so B=12.

The amplitude (A) is half the difference between the minimum and maximum:

  A = (76.5 -41.5)/2 = 17.5

The offset (D) is the average of the maximum and minimum:

  D = (76.5 +41.5)/2 = 59

__

Using these values in the above form, we have ...

  f(t) = 17.5cos(2π(t-7)/12) +59

__

Additional comments

You can see in the attachment that we have matched the maximum and minimum values exactly. A more sophisticated model is needed to adjust the function to match more of the data points.

Or, you may get a slightly better match if you use a sine regression model (least-squares best fit). That sort of modeling is best done using a graphing calculator or spreadsheet. The details are beyond the scope of this answer.

A golf ball is hit with an initial velocity of 100 feet per second. The height of the golf ball can be represented by the equation h=100t−16t^2, where t is the time in seconds since the ball was hit and h is the height of the ball in feet. How long will it take for the ball to hit the ground?

Answers

Answer:

6.25 seconds

Step-by-step explanation:

Using the the equation

h = 100t − 16t^2

The ball hits the ground, when h = 0, solving below equation:

100t − 16t^2 = 04t(25 - 4t) = 0t = 0 seconds, this is the starting point when ball was hit25 - 4t = 0 ⇒ 4t = 25 ⇒ t= 25/4 = 6.25 seconds later the ball hits the ground

Answer:

6.30 seconds

Step-by-step explanation:

pizza costs 14 dollars each how many pizza can you buy with 60 dollars

Answers

Answer:

3

Step-by-step explanation:

because i am smart

Answer:

4

Step-by-step explanation:

the quoteint is 4 and the remainder is 4

you can buy 4 pizzas

A local hamburger shop sold a combined total of 509 hamburgers and cheeseburgers on Monday. There were 59 more cheeseburgers sold than hamburgers. How many hamburgers were sold on Monday.
How many hamburgers were sold on Monday?

Answers

Answer:

I believe 225 hamburgers were sold on Monday.

Step-by-step explanation:

After 3 hours of of driving, Paul had gone 183 miles. What was his average rate of speed? Explain your answer.

Answers

Answer:

it's 61 mph bc when you divide 183 by 3 you get 61 which is how fast he was going

Step-by-step explanation:

Answer:

His average speed is 61

Step-by-step explanation:

183 divided by 3 is 61 which equals one hour of driving

Which of the following is not a polynomial?

Answers

as dhad said c is not the polynomial

What is the area of a rectangle with a width of 6.5 feet and a length of 14 feet?

Answers

Answer:91 i think

Step-by-step explanation:

Answer:

91

Step-by-step explanation:

6.5 x 14 =91

Who ran further elena or tyler in ten minutes

Answers

Answer:

depends who the faster person is

Answer:

need more information

WILL MARK BRAINLIEST
two sides of a triangle have lengths 6 and 17 which inequalities represent the possible lengths for the third side, x?

Answers

Answer:

Will you really mark brainliest though?

Step-by-step explanation:

9.
A tree casts a shadow 36 feet long at
the same time a boy 5 feet tall casts a
shadow 4 feet long. Find, in feet, the
height of the tree.

Answers

the tree is 30 feet

If w varies inversely with the square root of t and w = 5 when t = 49,
then what is the constant of variation?

Answers

Answer:

x=k/y

w=k/t

5=k/√49

5=k/7

k=5×7

k=35

I'm analyzing a song for an assignment and I need a appropriate song to use, something popular. any suggestions? ( comment if full)

Answers

Answer:

id recommend any song by brent faiyaz or lost boy by ruth b because it has a little more meaning orrrr the bigger picture by lil baby (thats a good one :)) orrrr girl of my dreams by rod wave orrrr almost is never enough  by ariana grande

Song suggestion: Sweater Weather or POV by Ariana Grande

a family wants to rent a car to go on vacation Company A charges $30.50 and 11 cent per mile. Company B charges $60.50 and 12 cent H ow much more does Company B charge for x miles than Company A PLZ HELP MEEEEEEEEEEEEEEEEEEEEEEEEEE I WILLLLLL RATEEEE BRAINEST

Answers

Answer:

$30 and 1 cent more

Step-by-step explanation:

$60.50 - $30.50 = $30

0.12 - 0.11 = 0.01

I hope this helped, please mark Brainliest, thank you !!

Find the first three terms of the sequence below. T n = n 2 + 3 n + 4

Answers

Answer:

9,14,19

Step-by-step explanation:

You seem to be giving the expression 2n+3n+4.

Now simplify

An = 5n+4

Fill in n

5(1) +4

5(2) +4

5(3)+4

After solving and simplifying you see 9, 14 and 19 are the first 3 terms.

What is m / 5 - 2 = 8

Answers

Answer:

m=24

Step-by-step explanation:

First, we can combine like terms:

m/(5-2)=8

m/3=8

Now, we need to get m by itself. To do this, multiply by 3:

m/3*3=8*3

m=24

50

50 ÷ 5 = 10, 10-2 =8

kdjrjrjdjjfhrhy to truth thhrjrhejd

what is the parallel slope intercept form?​

Answers

y=-1/2-1 is parallel to that equation

Solve for X.

A. 10
B. 12
C. 15
D. 22

Answers

Answer:

B. 12

Step-by-step explanation:

Since Z is midpoint of SR and Y is midpoint of QR, so as per triangle midpoint theorem ZY is parallel to SQ and measures half of its value:

SQ = 2ZY3x - 8 = 2(x + 2)3x - 8 = 2x + 43x - 2x = 4 + 8x = 12

Correct answer choice is B

Answer:

the answer is B.12 ......

Hair grows on your head faster than any other place on your body. Sue was interested in figuring out how fast her hair grows so she measured the growth. After 15 days her hair grew 3 mm. After 50 days, it grew 10 mm. If hair growth can be represented by a linear growth, then a) write a function for the growth G(x) as a function of x= number of days b) how long did it take Sue's hair to grow 17 mm?

Answers

mY HAIR dOesNt GRoW FaStEr oN My HHeAD

subtracting 1 from the product of 5 and x gives the same value as adding 10 to the product of 3 and x

Answers

Answer:

x = 11/2

Step-by-step explanation:

We would first put it in an equation

5x - 1 = 10 + 3x

We would first add 1 on both sides

5x = 11 + 3x

Then we subtract 3x on both sides

2x = 11

Divide both sides by 2

x = 11/2

The value of x from the given algebraic statement expression is;

x = 11/2

This is about simple Algebra.

The first expression is that; We are to subtract 1 from the product of 5 and x. This give; 5x - 1

The second expression is that we are to add 10 to the product of 3 and x. This gives us; 3x + 10

Finally, we are told that the first expression gives the same value as the second expression. This means that they are equal to each other and as such, we have;

       5x - 1 = 3x + 10

Let's add 1 to both sides to get;

5x - 1 + 1 = 3x + 10 + 1

⇒ 5x = 3x + 11

Let's subtract 3x from both sides to get;

2x = 11

Divide both sides by 2 to get;

x = 11/2

Read more at; https://brainly.com/question/18358801

Please Help ASAP!!!!!

Answers

Answer:

3.05 ft

Step-by-step explanation:

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