How would you write the equation with a slope of 2/3 and a y-intercept of -3
y = (3/2)x + 3
y = (2/3)x - 3
y = 2/3 + 3
y = 3/2 - 3

Answers

Answer 1
the answer is B. Y= (2/3)X - 3
Answer 2

Answer:

y = (2/3)x - 3

Step-by-step explanation:

The general structure of an equation in slope-intercept form is:

y = mx + b

In this equation, "m" represents the slope and "b" represents the y-intercept. You were given the slope and y-intercept, so finding the final equation is just a matter of substituting the variables.

slope = m = (2/3)

y-intercept = b = -3

y = mx + b

y = (2/3)x + (-3)

y = (2/3)x - 3


Related Questions

Kyle recorded his height, in inches, from age 6 to age 18. The graph below shows the data that he recorded as a function of his height over time. Kyle plotted many of the points from memory, but has some accurate data from old medical records. His two most accurately plotted points occurred at age 6 with a height of 45 inches and at age 18 with a height of 75 inches. Use these two data points to determine the equation for the line of best fit for Kyle's data.

Answers

Answer:

you probably moved on, but for everyone else:

y= 5/2x + 30

Step-by-step explanation:

Find the slope of the line passing through the points -2,7 and -6,3

Answers

Answer: the slope is 1

Step-by-step explanation:

m = y2 - y1 / x2 - x1

m = 7-3 / -2+6

m = 4/4

m=1

Suppose that y varies directly with x and inversely with z, and y = 4 when x = 8 and z = 14. find z when x = 36 and y = 6. first, what is the equation of variation? y =

Answers

The value of z if x = 36 and y = 6 is 42

Direct and inverse variation

Suppose that y varies directly with x and inversely with z, hence the required expression will be:

y = kx/z

If  y = 4 when x = 8 and z = 14 then;

4 = k(8)/14

8k = 56

k = 7

To  find z when x = 36 and y = 6, we  will have:

6 = 7(36)/z
1 = 7(6)/z

z = 42

Hence the value of z if x = 36 and y = 6 is 42

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Answer:

Keep it simple. Answer:

y=kx/z

  k=7

 z=42

Step-by-step explanation:

Find the number of terms in the sequence.

-3, -3, -9, -15, ...,-9

Answers

Answer:

6

Step-by-step explanation:

I use the information I from my Nathan teacher

You move left 5 units. You end at (-1, 5). Where did you start?

Answers

Answer:

(4,5)

Step-by-step explanation:

Hello!

If you move 5 units to the left, you change the x-value in (x, y) by -5.

Let the original x-value be x:

x - 5 = -1x = 4

The original x-value is 4. Since you didn't change the y-value (up/down), you can keep the same y-value for the coordinate.

The original point was at (4,5)

Answer:

You started at (4, 5)

Step-by-step explanation:

The first number of coordinate pair is x. you started at the right and THEN moved the the left, as stated in the question. So -1 + 5 is 4.
So you started at (4, 5)

help me with this question​

Answers

Answer:

a) 150

b) 2650

Step-by-step explanation:

6% of 2500 is 150

150 + 2500 = 2650

24 is 12% of what number?

Answers

Answer:

200

Step-by-step explanation:

(24 x 100) / 12

Answer = 200

To solve this problem you multiply 24 by 100 and then divide the total by 12 as follows: (24 x 100) / 12

Write a recursive formula for a_na n ​ , the n^{\text{th}}n th term of the sequence 50, -10, 2, ...50,−10,2,....

Answers

The recursive formula of the sequence is [tex]a_n = -\frac{a_{n-1} }{5}[/tex] where a1 = 50

How to determine the recursive sequence?

The sequence is given as:

50,−10,2,....

The above sequence is a geometric sequence, and it has the following parameters:

First term, a = 50Common ratio, r = -1/5 i.e. -10/50 = 5

This means that the product of the current term and -1/5 gives the next term.

i.e.

[tex]a_n = -\frac{a_{n-1} }{5}[/tex]

Hence, the recursive formula of the sequence is [tex]a_n = -\frac{a_{n-1} }{5}[/tex] where a1 = 50

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Latoya created a factor tree and wrote the prime factorization of 90 shown below.

Answers

Answer:

it’s b

Step-by-step explanation:

the answer is 2x3x3x5, but it’s the same thing when you put an exponent of two on a 3.

Hope it helps

Sry if I’m wrong

She should have included an exponent of 2 on the 3

The measure of A∠ is greater than twice the measure of B∠ . If the angles’ sum is 42 degrees, find the measure of A∠ .

Answers

Step-by-step explanation:

I think angle A = 21 degree

because in the question there is angle A Is twice means angle a + angle a= 4G degree

2 angle a=42 degree

42 divides by 2

answer is 21 degree

Paint can be purchased in two sizes: 1 gallon for $45.99 or 1 quart for $14.99.(round to the hundredths place)a.unit ratio of 1 quart (32oz) for $14.99is __________b.unit ratio of 1 gallon (128oz) for $45.99is __________c.which is the better deal?

Answers

Answer:

  a. $0.47 per ounce

  b. $0.36 per ounce

  c. the gallon size costs less per ounce

Step-by-step explanation:

A unit rate is a rate that is expressed with one unit in the denominator. That is, it is <some amount> per unit. The <some amount> value will generally depend on what unit is chosen. This problem suggests the desired unit is 1 oz of paint.

__

a.

Unit cost for a quart:

  ratio = cost/ounces = $14.99/(32 oz) ≈ $0.468/oz ≈ $0.47/oz

__

b.

Unit cost for a gallon:

  ratio = cost/ounces = $45.99/(120 oz) ≈ $0.359/oz ≈ $0.36/oz

__

c.

The cost per ounce is less for the gallon size. If at least 3 quarts of paint is needed, then buying it in the gallon size will cost less.

If less than 3 quarts are needed, then a gallon container will cost more than is necessary for the paint required. The "better deal" depends on the amount of paint required.

Nevaeh models the volume of a popcorn box as a right rectangular prism. Its dimensions are 5 in by 3 in by 7 1/4 in. How many cubic inches of popcorn would it hold when it’s a quarter full? Round your answer to the nearest tenth if necessary.

Answers

The cuboid can hold 27.2 cubic inches of popcorn

What is a right rectangular prism?

A right rectangular prism is also called the cuboid. it is a solid three dimensional shape with 6 faces, 12 edges and 8 vertices.

Analysis:

Volume of cuboid = length x width x height

                              = 5 x 3 x 29/4 = 108.75 cubic inches

When it is quarter full, volume = 1/4 x 108.75 = 27.2 cubic inches

In conclusion, the volume of the cuboid is 27.2 cubic inches.

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I don't under stand what is wrong.

Answers

Answer:

In the first step, there is an issue when distributing the -3 to the terms inside of the parentheses. When multiplying the -3 to the -5, you would get an answer of +15, not -15.

The full correct process is:

(4m + 9) - 3(2m - 5) = 4m + 9 - 6m + 15

                                = 4m - 6m + 9 + 15

                                = -2m + 24

A submarine travels 19 degrees west of north. What is its compass heading? PLS HELP WILL GIVE BRAINLIEST

Answers

Answer:

NNW(North-northwest)

The required compass heading of the submarine is 341 degrees.

To find the compass heading of the submarine, we need to determine the angle it makes in the north direction, clockwise.

Since the submarine is traveling 19 degrees west of north, the compass heading can be calculated as follows:

Compass Heading = 360 degrees - (Angle west of North)

Compass Heading = 360 degrees - 19 degrees

Compass Heading = 341 degrees

So, the compass heading of the submarine is 341 degrees.

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Carson is organizing textbooks on his bookshelf. he has a spanish textbook, a math textbook, a history textbook, and a writing textbook. how many different ways can he line the textbooks up on his bookshelf?

Answers

Answer:

16

Step-by-step explanation:

Answer:24

Step-by-step explanation:

Which Box-and-Whisker Plot below correctly illustrates the data shown below?

{22, 22, 23, 24, 25, 26, 27, 28, 29, 30}
A.
B.
C.
D.

Answers

The box-and-whisker plot that illustrates the given data set is shown in the image below (see attachment).

What is a Box-and-Whisker Plot?

A box-and-whisker plot consists of the following values of a data set: min, max, lower quartile, median, and upper quartile.

Here, Given the data set,

30, 22, 22, 27, 28, 23, 24, 25, 26, 23

the five-number summary for the box-and-whisker plot would be:

Minimum: 22

Quartile Q1: 22.75

Median: 24.5

Quartile Q3: 27.25

Maximum: 30

Thus, the box-and-whisker plot that illustrates the given data set is shown in the image below (see attachment).

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Find the width of the rectangle shown with an area of 18 mm2 and a length of 6 mm.

Answers

Given:
Area = 18
Length = 8
Width = ?

Area = length * width
(Substitute the values)
18 = 6 * width
Width = 18 / 6
Width = 3mm
Therefore, width of the rectangle is 3mm

To check if the answer is correct
Area = length * width
Area = 6 * 3
Area = 18 mm2

5600 to the nearest 1000​

Answers

Answer:

6000.

Step-by-step explanation:

Hundreds digit is 6 so we round up the thousand digit (5) to get 6000.

If it is 78F in Memphis and -14F in Juneau, what is the temperature difference between the two cities?

Answers

Solving Steps

Formulate

Based on the given conditions, formulate:

78 - (-14)

Calculate

78 - (-14)

Determine the sign

78 +14

Calculate

92

SO THE ANSWER IS 92

help me please i still struggle ​

Answers

Answer:

59 degrees

Step-by-step explanation:

Angles on a straight line add up to 180 degrees

Angles in a triangle add up to 280 degrees

180 minus 149 is 31

31 add 90 is 121

180 minus 121 is 59

IM IN NEED OF HELP ASAP!!

Answers

Answer:

B. [tex]\frac{14}{625}[/tex]

Step-by-step explanation:

Total paper in the hat:

2 blue + 6 red + 10 yellow + 7 purple = 25 total pieces of paper

P(AB) = 7 / 25 x 2 / 25

A is the probability of pulling a purple paper

B is the probability of pulling a blue paper

Answer:

14/625

Step-by-step explanation:

probability = favorable outcomes/total number of outcomes

First find the probability of drawing a purple piece of paper.

There are 7 pieces of purple paper.

Add all the amounts of colored paper together to get the total number of outcomes.

2 + 6 + 10 + 7 = 25

The probability of drawing purple is 7/25

Now find the probability of drawing  blue. There are 2 blue pieces of paper. Since he replaces the purple paper the total stays at 25.

The probability of drawing blue is 2/25

This is a compound probability problem, so multiply the two probabilities together.

7/25 x 2/25

14/625

8. What value of n makes the equation below have
infinitely many solutions?
-2(6x+2)=nx-4

Answers

Answer:

[tex]n=-12[/tex]

Step-by-step explanation:

[tex]\text{When}~ n = -12,\\\\~~~~~-2(6x+2) = -12x-4\\\\\implies -12x -4 = -12x -4 \\\\\text{Since both sides are equal for all values of x, there are infinitely many solutions.}[/tex]

The difference between two numbers is 17 and twice the smaller of these is 26. What are the numbers?
Does anyone know the answer?

Answers

Answer:

13 and 30

Step-by-step explanation:

the smaller of the two numbers is 13.

If there is a 17 number difference, then that means that the second number is 30.

give brainliest, please!
hope this helps :)

rearrange the equation so b is the independent variable

a - 7 = 3(b+2)
a = ?

Answers

Hey! a = 3b + 13. I went about solving this by subtracting 6 on both sides of the equation. From there, a - 13 is on the left side, and 3b is on the right side. Subtract 13 on both the left and right sides, and then a is isolated. Hope that helps!

1. There are 10 cards. 4 of them are of green color and another 6 are of
orange color. Steve picks a card at random. What is the
probability of green?

Answers

The Probability of him getting green is 4/10 which is 2/5

Estimate the quotient of 21.49 ÷ 3.76 using compatible numbers.

Answers

The quotient of 21.49 ÷ 3.76 using compatible numbers is approximately 5.69

What are quotients?

Quotients are result derived from the ratio of two rational or integers. Given the expression

21.49 ÷ 3.76

Convert to fraction

21.49 ÷ 3.76 = 2140/100  ÷  376/100
21.49 ÷ 3.76 = 2140/376

21.49 ÷ 3.76 =  5.69

Hence the quotient of 21.49 ÷ 3.76 using compatible numbers is approximately 5.69

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can you help me figure of the value of y?and possible x (I think I got it)​

Answers

The values of x and y from the figure are 22.5 and 10 respectively

Vertical angles

The angles that meet at a point X are equal and vertically opposite

From the diagram shown

6x - 5 = 8x - 50

6x - 8x = -50 +  5

-2x = -45

x = 22.5

Similarly

2y + 30 = 3y + 20

2y - 3y = 20 - 30

-y = -10

y = 10

Hence the values of x and y from the figure are 22.5 and 10 respectively

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[tex] {\qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Let's solve ~

Since the two lines intersects each other we can conclude that :

6x - 5 = 8x - 50

and

2y + 30 = 3y + 20

[ That's because they form vertical opposite angle pair ]

So, let's solve for x and y ~

[tex]\qquad \sf  \dashrightarrow \:6x - 5 = 8x - 50[/tex]

[tex]\qquad \sf  \dashrightarrow \:8x - 6x = - 5 + 50[/tex]

[tex]\qquad \sf  \dashrightarrow \:2x = 45[/tex]

[tex]\qquad \sf  \dashrightarrow \:x = \dfrac{45}{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 22.5[/tex]

And

[tex]\qquad \sf  \dashrightarrow \:2y + 30 = 3y + 20[/tex]

[tex]\qquad \sf  \dashrightarrow \:3y - 2y = 30 - 20[/tex]

[tex]\qquad \sf  \dashrightarrow \:y = 10[/tex]

I hope the steps are clear ~ let me know if you have doubts ~

6)( b)write down the ratio of white chocolates to milk chocolates 3/8

Answers

Answer:

white chocolates = 3

milk chocolates = 8

ratio= 3:8

[tex] \frac{3}{8} [/tex]

0.375

Write the expression 5x(x + 9) − 7(x + 9) in complete factored form.
A.
(x + 9)(x + 9)
B.
(5x − 7)(x + 9)
C.
(5x − 7)(x + 9)(x + 9)
D.
(5x2 + 45x)(-7x − 63)

Answers

B. (5x-7)(x+9)
This method of factoring is grouping. You could take (x+9) out of both the 5x and the -7, and the next step is putting the 5x -7 in its own set of parentheses.

what is 1/4×2/5÷1/3 as a fraction
please help

Answers

Answer:

3/10

Step-by-step explanation:

Please give brainliest!

hope this helps :)

the first step is to multiply 1/4 and 2/5

1/4 times 2/5 = 2/20

you figure this out by multiplying the numerators and denominators.

next, we solve 2/20 ÷ 1/3

we do this by taking the reciprocal of 1/3, which is 3/1, and then multiplying the fractions

2/20 times 3/1 = 6/20

6/20 = 3/10

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