The equation y-2/3=-2(x-1/4) is written in point slope form. What is the equation in slope-intercept form ?

Answer:

y = -2x + 7/6

Step-by-step explanation:

y-2/3=-2(x-1/4)

Distribute the -2

y-2/3=-2x+ 2/4

y - 2/3 = -2x + 1/2

Add 2/3 to each side

y - 2/3 + 2/3 = -2x + 1/2 + 2/3

Get a common denominator

y = -2x + 3/6 + 4/6

y = -2x + 7/6

Answer:

y=-2x+7/6

Step-by-step explanation:

The equation for point-slope is y-y1=m(x-x1), where (x1,y1) are one of the points on the line.

y-2/3=-2(x-1/4)

(1/4, 2/3) is the point and the slope is -2

The equation for slope-intercept is y=mx+b, where m is the slope and b is the y-intercept.

y=(-2)x+b **Substitute the slope into m**

(2/3)=-2(1/4)+b **Substitute the points in as x and y**

2/3=-2/4+b

14/12=b **Add 2/4 to both sides**

14/12 is the same as 7/6

7/6 is the y-intercept

y=-2x+7/6

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there are 8 playing cards in a bag. 2 of those cards are spades. what is the probability of picking a spade randomly from a bag?
answer as a simplified fraction in form a/b

Here is an easy one

Dawn has two bank accounts she has been using to save money for a car. The difference between account A and account B is $100. If she uses StartFraction 3 Over 8 EndFraction of account A and StartFraction 7 Over 8 EndFraction of account B, Dawn will have a down payment of $2000. Choose the statements that are true when solving for the amount Dawn has in each account. Check all that apply.
One of the equations that represents this scenario is A – B = 100.
One of the equations that represents this scenario is StartFraction 3 Over 8 EndFractionA + StartFraction 7 Over 8 EndFractionB = 2000.
To eliminate the A variable, multiply the first equation by 3 and the second by 8.
To eliminate the B variable, multiply the first equation by 7 and the second by 8.
To eliminate the B variable, multiply the first equation by 7 and the second by –8.

Cathy’s customer base is 2/3 residential and 1/3 business. If she has 350 residential customers, how many total customers does she have?

The table shows the number of books, by type, checked out from the school library on Monday.
Book Checkout
Book Type Number of Books
mystery
24
nonfiction
18
adventure
12
humor
16
Part A: Which statement is true?
O For every 3 mystery books checked out, 4 nonfiction books were checked out.
O For every 3 mystery books checked out, 6 nonfiction books were checked out.
O For every 4 mystery books checked out, 3 nonfiction books were checked out.
O For every 6 mystery books checked out, 3 nonfiction books were checked out.

Please help I’ll mark you as brainliest if correct !

I will give brainiest to whoever answers correctly !!

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help

Find the product of the following :

a. (-23) x 93



b. (- 16 ) x (- 30)



c. 14 x (- 12)

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Help me
Please

Sara and Sam are each working on a science project in which they need to research the individual masses of the nine planets (including the dwarf planet Pluto as the ninth planet). Sara completes her data for the planets' masses in kilograms while Sam's data is in milligrams.


Look at picture.


Approximate how many times greater Saturn's mass is than Mercury's.

A) 200,000
B) 2,000,000
C) 2,000
D) 20,000

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The students at Job's high school

were surveyed to determine their

favorite foods. The results are shown

in the table below. Suppose students

were randomly selected and asked

what their favorite food is. Find the

probability of each event. Write as a

fraction in simplest form.


Favorite Food Responses

Pizza 19

Steak 8

Chow-mein 5

Seafood 4

Spaghetti 3

Cereal 1


16. P(steak)

17. P(Spaghetti)

18. P(cereal or seafood)

19. P(not chow-mein)

19. P(pizza)

20. P(cereal or steak)

21. P(not steak) 22. P(not cereal or seafood)

23. P(chicken) 24. P(chow mein or spaghetti)

PLZZZZ HELPP ASAP!!! In a board game, you must roll two 6-sided number cubes. You can only start the game if you roll a 3 on at least one of the number cubes. Make a list of all the different possible outcomes when two number cubes are rolled. What fraction of the possible outcomes is favorable? Suppose you rolled the two number cubes 100 times, would you expect at least one 3 more or less than 34 times? Explain. Answer:

Pls help extra points and mark Brainlist easy reading

Two machines package items for shipping. One makes packages of 17 items. The other makes packages of 13 items. Suppose both machines start a new package at the same time. It takes one second
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PLEASE HELP!!!!!! ILL GIVE BRAINLIEST *EXTRA 40 POINTS** !! DONT SKIP :((