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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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

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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)

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Look at picture.


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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.
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One of the equations that represents this scenario is StartFraction 3 Over 8 EndFractionA + StartFraction 7 Over 8 EndFractionB = 2000.
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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
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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.

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