What is the equation of the line in slope intercept form write your answer using integers, proper fractions, and improper tractions in simplest form​

What Is The Equation Of The Line In Slope Intercept Form Write Your Answer Using Integers, Proper Fractions,

Answers

Answer 1

Answer:

y =  2x - 1

Step-by-step explanation:

To find out the equation of the line, you will always need the following information in order to determine the linear equation in slope-intercept form, y = mx + b:

1. 2 sets of ordered pairs (x, y)

2. Slope (m)

3. Y-intercept (b)

First, we need to choose 2 points from the graph to solve for the slope:

Let (x1, y1) = (0, -1)

(x2, y2) = (3, 5)

Substitute these values into the following slope formula:

[tex]m = \frac{y2 - y1}{x2 - x1} = \frac{5 - (-1)}{3 - 0} = \frac{5 + 1}{3} = \frac{6}{3} = 2[/tex]

Therefore, the slope (m) = 2.

Next, we need the y-intercept, (b). The y-intercept is the y-coordinate of the point where the graph of the linear equation crosses the y-axis. The y-intercept is also the value of y when x = 0. The y-coordinate of the point (0, -1) is the y-intercept.  Hence, the y-intercept (b) = -1.

Given our slope, m = 2, and the y-intercept (b) = -1, the linear equation is:

y = 2x - 1

Please mark my answers as the Brainliest if you find my explanations/solution helpful :)


Related Questions

Simplify each radical 1-4

Answers

Answer:

1- H , 2- B , 3- A , 4- F

Step-by-step explanation:

Just simplify and you will get the answer.

Goodluck

please answer both thank you

Answers

Answer: 3/4 are eqivelent to 6/8

Step-by-step explanation:

Daniel was offered a job after college earning a salary of $60,000. He will get a raise of $4,000 after each year working for the company. Answer the questions below regarding the relationship between salary and the number of years working at the company.

Answers

Answer: point o.

Step-by-step explanation:

Which is the best definition of coefficient?
A letter that represents an unknown value.
O A number that itinultiplied by a variable.
Operations that "undo" each other.
O A fixed value that does not change.

Answers

Answer:

A number multiplied by a variable.

Step-by-step explanation:

For example, 4 is a coefficient.

[tex]4x[/tex]

The first one, all you really have to do is look it up. or just look at your notes if you take any!

ANSWER QUICK PLEASE!!
combine like terms. 8x + 3 - 5x + 9
A. -13x - 12
B. 13x + 12
C. 3x - 6
D. 3x + 12
NO LINKS OR WEBSITES!!

Answers

Answer:

D

Step-by-step explanation:

8x-5x+3+9=3x+12

combine like terms

So in algebra you always add letter separately and number separately

8x-5x=3x
3+9=12
So the answer would be:
3x+12
So D

The slope of Consider the line whose equation is 3x + y - 3 = 0. The slope of any line that is parallel to this line is any line that is perpendicular to this line is​

Answers

Answer:

parallel : y = -3x + 3

perpendicular : y = 1/3x + 3

Step-by-step explanation:

rewrite 3x + y - 3 = 0

y = -3x + 3

parallel has the same slope

so

parallel : y = -3x + 3

perpendicular is negative reciprocal of the slope

so

-3x becomes 1/3x

so

perpendicular : y = 1/3x + 3

The population P of a small town, measured in hundreds, is modeled by the inverse of the function P−1(t) = 10ln(50t − 1000), where t is measured in years. Find the equation to model the population and determine its initial value.

P = 5t +100 where P(0) = 100
P = 1/50 In(0.1t)+20
P = 1/500e^t + 20
P = 1/50e^0.1t + 20

Answers

Using the inverse function, it is found that the equation is:

[tex]P(t) = \frac{e^{0.1t}}{50} + 20[/tex]

It's initial value is 20.

---------------------------

We want to find the inverse of:

[tex]y = P^{-1}(t) = 10\ln{50t - 1000}[/tex]

To do this, we exchange y and t, and isolate y.

Then:

[tex]10\ln{50y - 1000} = t[/tex]

[tex]\ln{50y - 1000} = \frac{t}{10}[/tex]

[tex]e^{\ln{50y - 1000}} = e^{0.1t}[/tex]

[tex]50y - 1000 = e^{0.1t}[/tex]

[tex]50y = e^{0.1t} + 1000[/tex]

[tex]y = \frac{e^{0.1t} + 1000}{50}[/tex]

[tex]y = \frac{e^{0.1t}}{50} + \frac{1000}{50}[/tex]

[tex]P(t) = \frac{e^{0.1t}}{50} + 20[/tex]

It's initial value is:

[tex]P(0) = \frac{e^{0.1(0)}}{50} + 20 = 0.02 + 20 = 20.02[/tex]

Rounding, 20.

A similar problem is given at https://brainly.com/question/23950969

Answer:

P = 1/50e^0.1t + 20

Step-by-step explanation:

Do the ratios 7:14 and 3:6 form a proportion?

Answers

Answer:

Yes

Step-by-step explanation:

7:14=1:2

3:6=1:2

8/t + t^2; t=4 please help me

Answers

Answer:

8/t + t^2 = 18

Step-by-step explanation:

8/t + t^2

t = 4

8/4 + 4^2

2 + 16 = 18

8/t + t^2 = 18

Hello! I need help with coordinate planes in math. I don't need an explanation, because I do kind of understand it. If you don't know the answer, please don't answer it. If you have any questions about the question, please drop in a comment! Thank you!

Answers

Answer:

the first one

the third one

thats all I know but this should help I have some work to do soooo sorry big zozo ;(

Step-by-step explanation:

Which of the following is equivalent to 10,000

30 points so please give right answers

Answers

Answer:

just count the zero A is the answer

Step-by-step explanation:

What is the answer can you hello me

Answers

Answer:?

Step-by-step explanation:

?

find the slope of the parabola y equals to e^(-4x) sin6x at the point P(2,4). write an equation for the tangent to the parabola at this point​

Answers

The equation of the tangent line to the curve is:

[tex]y - 4 = 0.0024(x - 2)[/tex]

Which has a slope of 0.0024.

The tangent line of a curve [tex]f(x)[/tex] at a point [tex](x_0,y_0)[/tex] is given by:

[tex]y - y_0 = f^{\prime}(x_0)(x - x_0)[/tex]

In this problem, the curve is:

[tex]f(x) = e^{-4x}\sin{6x}[/tex]

The derivative is:

[tex]f^{\prime}(x) = -4e^{-4x}\sin{6x} + 6e^{-4x}\cos{6x}[/tex]

Point P(2,4), thus [tex]x_0 = 2, y_0 = 4[/tex].

The slope is:

[tex]f^{\prime}(2) = -4e^{-4(2)}\sin{6(2)} + 6e^{-4(2)}\cos{6(2)} = 0.0024[/tex]

Then, the equation of the line is:

[tex]y - y_0 = f^{\prime}(x_0)(x - x_0)[/tex]

[tex]y - 4 = 0.0024(x - 2)[/tex]

A similar problem is given at https://brainly.com/question/22426360

Which of these is the smallest number?
A. 1 1/2 ( one and one over two)

B. 1/3

C. 1 1/10 (one and one over ten)

D. 1/4

E. 1/2

Answers

Answer:

B this is the smallest number

Lori brought sunglasses and flip-flops at a half-off sale.If she spent a total of $21 on the two items, what was the original price of the sunglasses?

Answers

The sunglasses were originally priced at $ 21.

Given that Lori brought sunglasses and flip-flops at a half-off sale, to determine, if she spent a total of $ 21 on the two items, what was the original price of the sunglasses (taking into account that they both cost the same) will be you must perform the following calculation:

50 = 21 100 = X 100 x 21/50 = X 2100/50 = X 42 = X

Thus, the total price of both goods is $ 42, which, divided in half, results in $ 21 (42/2).

Therefore, the sunglasses were originally priced at $ 21.

Learn more in https://brainly.com/question/731526

Newton uses two properties ti rewrite the expression (4x23)x25 identify the properties he used why would Newton use these properties

Answers

The two properties newton used to rewrite the expression are;

- Associative Property; Because it involves change of grouping of numbers in the expression.

- Distributive Property; Because it involves distribution of a number outside a bracket to numbers inside that same bracket.

This involves algebraic properties. There are 3 major types that work on only addition and multiplication namely;

- Associative Property

- Commutative Property

- Distributive Property

Let us define each of them;

1) Associative Property; This property in algebra is one that means that no

matter how we group the numbers, we will still get the same result. e.g.

x + (y + z) = (x + y) + z.

2) Commutative Property; This property means that we can change the

order of operation and still get the same answer. For example;

p × q × r = p × r × q

3) Distributive Property; This property means that multiplying the sum of

two or more which are in a bracket by a number outside the will be equal to

the answer gotten when we multiply each number in the bracket

individually by the number outside and then adding their respective

products together. For example; p(q + r) = (p * q) + (p * r)

Newton has the expression; (4 × 23) × 25

Since it is multiplication, he can use any of the three properties above but let us use the associative and distributive properties as they are most suited to this expression.

For the associative property as shown above, he will arrive at;

(4 × 23) × 25 = 4 × (23 × 25)

For the distributive property as shown above, he will arrive at;

(4 × 23) × 25 = (25 × 4) + (25 × 23)

Read more at; https://brainly.com/question/20724601

Freeman High School's drill team will be attending the national competition and needs to raise $1,600. To raise money for the trip, the girls are selling tickets to a luncheon. Tickets are $8 for students and $10 for adults. The equation 8x+10y=1600, where x represents the number of student tickets sold and y represents the number of adult tickets sold, can be used to represent this situation. The graph of this equation is shown below.

Answers

The equation that can be used to represent this situation is 8x + 10y = 1600

Let x represent the number of student tickets sold and y represents the number of adult tickets sold.

Since students ticket cost $8 and adult tickets cost $10, and the total ticket sold was $1600, hence this can be represented by the equation:

8x + 10y = 1600

Therefore the graph of the above equation is attached

Find out more at: https://brainly.com/question/24947711

4x-5y=6 for y

Solve the equation for the specified variable

Answers

Answer:

[tex]y = - \frac{4}{5} x + \frac{6}{5} [/tex]

Step-by-step explanation:

First subtract 4x on both sides in order to get -5y alone. Now you have -5y = 4x + 6 (since neither 6 nor 4x are like terms). Now divide -5 on both sides in order to get rid of it, so we can get y by its self. Now you have y = -4/5 x + 6/5

Hope this makes sense. Also please tell me if I'm wrong and I'll be happy to look at it again for ya :)

1. A rectangular canvas picture measures 12 inches by 28 inches. The canvas is mounted inside a frame of uniform width, increasing the total area covered by both canvas and frame to 612 square inches. Find the uniform width of the frame.​

Answers

The uniform width of the frame is 16.61 inches.

Since a rectangular canvas picture measures 12 inches by 28 inches, and the canvas is mounted inside a frame of uniform width, increasing the total area covered by both canvas and frame to 612 square inches, to find the uniform width of the frame you must perform the following calculation:

√ (612 - (28 x 12)) = X √ (612 - 336) = X √276 = X 16.61 = X

Therefore, the uniform width of the frame is 16.61 inches.

Learn more in https://brainly.com/question/15218328

Find the missing factor A that makes the equality true
8x 3 =(−2x)(A)

Answers

refer to the attachment!!

write an addition equation or subtraction equation your choice to describe the diagram. I'll Mark brainest​

Answers

Answer:

[tex]0+2-4=-2[/tex]

Step-by-step explanation:

We start at 0 and move 2 to the right to get to 2. Then, we move 4 to the left to get to -2.

So, our equation is [tex]0+2-4=-2[/tex], the 0 being our starting point, the +2 coming from moving to the right 2, the -4 coming from moving to the right 4, and the -2 being our end point.

PLS SOLVE I WILL GIVE BRAINLIEST

Answers

Answer:0.8004

Step-by-step explanation:

The correct answer is 0.8004

15/2.25(step by step 100 points and mark brainliest)

Answers

Answer:

[tex]\sf\longmapsto \: 6.666[/tex]

Step-by-step explanation:

[tex]\sf\longmapsto \: \: \frac{15}{2.25} [/tex]

Or it can be written as 15÷2.25

Thus,the answer will be in decimal.

[tex]\sf\longmapsto \: 6.666[/tex]

15/2.2515÷225/10015×100/225100/156.67

The following equation models a rock that is thrown upward from an elevation of 4.9 feet
at a speed of 63.2 feet per second. The variable h represents the height in feet, and
represents the time in seconds.
h= –1672 + 63.2t + 4.9
The rock reaches 50 feet on its way up, and again on its way down.
How long does it take the rock to reach 50 feet on its way down? Round your answer to 1
decimal places.
3.0 seconds
13.2 seconds
0.9 seconds
54.9 seconds

Answers

Answer:

3.0 seconds

Step-by-step explanation:

i took the test.

The time it takes the rock to reach 50 feet on its way down is 13.2 seconds and option B is the correct answer.

We have,

We are given the equation for the height of the rock as it travels upward and then downward:

h = -1672 + 63.2t - 4.9t²

We want to find the time it takes for the rock to reach a height of 50 feet on its way down.

This means we need to solve for t when h = 50:

50 = -1672 + 63.2t - 4.9t²

Rearrange the equation to isolate the quadratic term:

4.9t² - 63.2t + (1672 + 50) = 0

4.9t² - 63.2t + 1722 = 0

For an equation of the form "ax² + bx + c = 0", the solutions for "x" are given by:

x = (-b ± √(b² - 4ac)) / 2a

In your equation, the coefficients are:

a = 4.9

b = -63.2

c = 1722

Plugging these values into the quadratic formula:

t = (-(-63.2) ± √((-63.2)² - 4 * 4.9 * 1722)) / (2 * 4.9)

Now, let's calculate the discriminant (the value inside the square root):

Discriminant = (-63.2)² - 4 * 4.9 * 1722 ≈ 39884.96 - 33529.6 ≈ 6355.36

Since the discriminant is positive, there are two distinct real solutions for "t".

Now, plug the discriminant back into the quadratic formula and solve for "t":

t = (63.2 ± √6355.36) / 9.8

Now, calculate the square root of the discriminant:

√6355.36 ≈ 79.58

Now, plug in the values for "t":

t₁ = (63.2 + 79.58) / 9.8 ≈ 13.02

t₂ = (63.2 - 79.58) / 9.8 ≈ -1.69

So, the solutions for the equation 4.9t² - 63.2t + 1722 = 0 are approximately:

t₁ ≈ 14.61

t₂ ≈ -1.69 (rejected)

Thus,

The time it takes the rock to reach 50 feet on its way down is B. 13.2 seconds.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ3

Solve for w.

–1.01 = 1.4(w + 2) − 2.41

Answers

Answer:

w=-1

Step-by-step explanation:

Algebra.

Answer:

w = - 1

Step-by-step explanation:

–1.01 = 1.4(w + 2) − 2.412.41 - 1.01 = 1.4(w + 2)1.4 = 1.4(w + 2)w + 2 = 1w = 1 - 2w = - 1

Write the expression using exponents. g⋅g⋅g⋅g⋅g

Answers

g to the fourth power

or


g4

simplify the expression shown

A:-xy+3y
B:xy+3y
C:-xy-3y
D:xy-3y​

Answers

Answer:

C:-xy-3y is the answer your welcome

Determine if the following system of equations has no solutions, infinitely many
solutions or exactly one solution.
x + y = 2
–5x - 5y = -10

Answers

Step-by-step explanation:

The usual thing to do is to try to get rid of one variable first. So to get rid of x, we multiply the first equation by 5.

5(x + y) = 2(5)

-5x - 5y = -10

---> 5x + 5y = 10

-5x - 5y = -10

---> 0 = 0

As you can see, everything cancels out. If the statement is true, then it is infinitely many solutions.

If x is semi-prime, how many prime factors does it have?
please, 20 points for this!!

Answers

Answer:

2 prime factors

Answer: 2 prime factors

Step-by-step explanation:  A semiprime is a number n that has just 2 prime factors p and q so n = p × q. It is therefore "almost" a prime (which has only one prime factor, itself!) or a semiprime.

Joshua delivered 30 hives to the local fruit farm. If the farmer has paid to use 5% of the total number of Joshua’s hives, how many hives does Joshua have in all?

Answers

Answer:

600 hives

Step-by-step explanation:

If 30 is 5% of the total number of hives Joshua has, then 5%x20=100%

So, 30x20=100%

      30x20=600

hope it helped :)

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