Write the equation of the line in fully simplified slope-intercept form. y intercept = -2 (GIVE EXPLANATION)

Write The Equation Of The Line In Fully Simplified Slope-intercept Form. Y Intercept = -2 (GIVE EXPLANATION)

Answers

Answer 1

Answer:

See Below:

Step-by-step explanation:

So, first of all. to find the equation of the line, the equation has to be in [tex]y=mx+b[/tex] form. In this for the following are:

[tex]m[/tex] is the slope of the line[tex]b[/tex]  is the y intercept

Solving

So, first of all, to find the equation of the line, we can get two points from the line, you can pick any points you want, but for this case, I will be using (0,-2) and (-2,0).

To solve for the slope, we can use rise over run to find the equation.

[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Upon inserting our points into the equation, we get a slope of -1.

[tex]\frac{0-(-2)}{-2-0}=\frac{2}{-2}=-1[/tex]

Creating The Equation

To create the equation in [tex]y=mx+b[/tex] form, we need to know what the intercept and the slope are, for which we solved above. We can now put in the things we found to get our final equation.

[tex]y=-1x-2[/tex]

We know the slope has to be -1 as we solved for that, and because the line is decending downwards, we can interpret the slope as down 1 right 1.

We know that b is -2 because the y intercept is -2 and b is equal to the y intercept. Therefore the b cation is -2.

Cheers!


Related Questions

Owen had 8,452 books donated to our school. If he shares with with 23 classes about how many books does each class get? Again assesment due tom :,)

Answers

Answer:

327.5

Step-by-step explanation:

8452/23 = 327.478

Round to about 327.5 books per class

Answer:

each class gets 367 books

Solve.

x−(−2 3/8)=−1/4

What is the solution to the equation?

Enter your answer as a simplified mixed number in the box.

X= ??

Answers

Sorry if I’m wrong but I think the answer is x= -2 5/8
Different form : -21/8
Decimal form: -2.625

С
12 yd.
5 yd.
What is the length of the hypotenuse? If necessary, round to the nearest tenth.
C=
yards

Answers

Answer:

C = 13

Step-by-step explanation:

A²+B²=C²

where c is the hypothenuse

5²+12²=c²

25+144=c²

169=c²

√169 = c

13 = c

(PICTURE PROVIDED)
HELPPPPPPPPP PLS

Answers

Answer is letter D Six units it is congruent to line DC

kokokokokkokokokokokookokokk.

Answers

Answer:

OMG️️

Step-by-step explanation:

What is this❓

what have you wrote✍️

Answer:

hye nice what have written tell then I will answer you.

Task 2: Components of Your Will
Describe the components of your will and how you will specify each one.
Type your response here:

Answers

My will? Wym my will
Are you talking about the will when I die? Or

What sentence represents this equation?

912=15−x


912 ​is the same as a number decreased by 15.

912 is the same as 15 decreased by a number.

15 decreased by 912 is the same as a number.

A number is the same as the difference of 15 and 912.

Answers

The sentence representing the equation is 912 is the same as 15 decreased by a number.

What is an equation?

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given an equation, 912 = 15 − x

Here, 912 is equal to a number which is being subtracted from 15.

Hence, The sentence representing the equation is 912 is the same as 15 decreased by a number.

For more references on equation, click;

https://brainly.com/question/10413253

#SPJ2

explain each step please :)

Answers

Answer:

u need to use the quadratic formula

Step-by-step explanation:

I think this is about it

PLS HELP WILL MARK BRAINLIEST, PLS HURRY

Answers

Answer:

B

Step-by-step explanation:

What is the equation for the line in slope-intercept form?




Enter your answer in the box. I'll give you 100 points

Answers

Answer:

y = -4x + 5.

Explanation:

Count rise/run to find the slope, find the y-intercept.

Answer:

y = -4x + 3

Step-by-step explanation:

First, find the slope using two points [(-2, 13), (0, 5)] and the formula [ y2-y1/x2-x1 ].

5-13/0-(-2)

-8/2

-4

Second, find the y-intercept which we know is (0, 5) since we used it in the previous part.

Third, input everything we found.

y = -4x + 5

Best of Luck!

b) Express 0.6363......as a rational number in its lowest term. ​

Answers

Answer:

[tex]\frac{7}{11}[/tex]

Step-by-step explanation:

We require 2 equations with the repeating digits (63) placed after the decimal point.

let x = 0.636363..... (1) multiply both sides by 100

100x = 63.6363... (2)

Subtract (1) from (2) thus eliminating the repeating digits

99x = 63 ( divide both sides by 99 )

x = [tex]\frac{63}{99}[/tex] = [tex]\frac{7}{11}[/tex] ← in simplest form

There are only red sweets and yellow sweets in a bag.
There are n red sweets in the bag.
There are 8 yellow sweets in the bag.
Sajid is going to take at random a sweet from the bag and eat it.
7
He says that the probability that the sweet will be red is
10
7
10
(a) Show why the probability cannot be

Answers

Using the probability concept, it is found that since the number of red sweets would be a decimal number, the probability cannot be [tex]\frac{7}{10}[/tex]

A probability is the number of desired outcomes divided by the number of total outcomes.

In this problem:

In total, there are 8 + n sweets in the bag.Of those, n are red.

The probability of red is:

[tex]p = \frac{n}{n + 8}[/tex]

Supposing [tex]p = \frac{7}{10}[/tex], we solve for n:

[tex]\frac{n}{n + 8} = \frac{7}{10}[/tex]

[tex]10n = 7n + 56[/tex]

[tex]3n = 56[/tex]

[tex]n = \frac{56}{3}[/tex]

[tex]n = 18.67[/tex]

Since the number of red sweets would be a decimal number, the probability cannot be [tex]\frac{7}{10}[/tex]

A similar problem is given at https://brainly.com/question/15536019

Let A be a given matrix below. First, find the eigenvalues and their corresponding eigenspaces for the following matrices. Then, find an invertible matrix P and a diagonal matrix such that A = PDPâ’1.
(a) [ 3 2 2 3 ]
(b) [ 1 â 1 2 â 1 ]
(c) [1 2 3 0 2 3 0 0 3]
(d) [3 1 1 1 3 1 1 1 3]

Answers

It looks like given matrices are supposed to be

[tex]\begin{array}{ccccccc}\begin{bmatrix}3&2\\2&3\end{bmatrix} & & \begin{bmatrix}1&-1\\2&-1\end{bmatrix} & & \begin{bmatrix}1&2&3\\0&2&3\\0&0&3\end{bmatrix} & & \begin{bmatrix}3&1&1\\1&3&1\\1&1&3\end{bmatrix}\end{array}[/tex]

You can find the eigenvalues of matrix A by solving for λ in the equation det(A - λI) = 0, where I is the identity matrix. We also have the following facts about eigenvalues:

• tr(A) = trace of A = sum of diagonal entries = sum of eigenvalues

• det(A) = determinant of A = product of eigenvalues

(a) The eigenvalues are λ₁ = 1 and λ₂ = 5, since

[tex]\mathrm{tr}\begin{bmatrix}3&2\\2&3\end{bmatrix} = 3 + 3 = 6[/tex]

[tex]\det\begin{bmatrix}3&2\\2&3\end{bmatrix} = 3^2-2^2 = 5[/tex]

and

λ₁ + λ₂ = 6   ⇒   λ₁ λ₂ = λ₁ (6 - λ₁) = 5

⇒   6 λ₁ - λ₁² = 5

⇒   λ₁² - 6 λ₁ + 5 = 0

⇒   (λ₁ - 5) (λ₁ - 1) = 0

⇒   λ₁ = 5 or λ₁ = 1

To find the corresponding eigenvectors, we solve for the vector v in Av = λv, or equivalently (A - λI) v = 0.

• For λ = 1, we have

[tex]\begin{bmatrix}3-1&2\\2&3-1\end{bmatrix}v = \begin{bmatrix}2&2\\2&2\end{bmatrix}v = 0[/tex]

With v = (v₁, v₂)ᵀ, this equation tells us that

2 v₁ + 2 v₂ = 0

so that if we choose v₁ = -1, then v₂ = 1. So Av = v for the eigenvector v = (-1, 1)ᵀ.

• For λ = 5, we would end up with

[tex]\begin{bmatrix}-2&2\\2&-2\end{bmatrix}v = 0[/tex]

and this tells us

-2 v₁ + 2 v₂ = 0

and it follows that v = (1, 1)ᵀ.

Then the decomposition of A into PDP⁻¹ is obtained with

[tex]P = \begin{bmatrix}-1 & 1 \\ 1 & 1\end{bmatrix}[/tex]

[tex]D = \begin{bmatrix}1 & 0 \\ 0 & 5\end{bmatrix}[/tex]

where the n-th column of P is the eigenvector associated with the eigenvalue in the n-th row/column of D.

(b) Consult part (a) for specific details. You would find that the eigenvalues are i and -i, as in i = √(-1). The corresponding eigenvectors are (1 + i, 2)ᵀ and (1 - i, 2)ᵀ, so that A = PDP⁻¹ if

[tex]P = \begin{bmatrix}1+i & 1-i\\2&2\end{bmatrix}[/tex]

[tex]D = \begin{bmatrix}i&0\\0&i\end{bmatrix}[/tex]

(c) For a 3×3 matrix, I'm not aware of any shortcuts like above, so we proceed as usual:

[tex]\det(A-\lambda I) = \det\begin{bmatrix}1-\lambda & 2 & 3 \\ 0 & 2-\lambda & 3 \\ 0 & 0 & 3-\lambda\end{bmatrix} = 0[/tex]

Since A - λI is upper-triangular, the determinant is exactly the product the entries on the diagonal:

det(A - λI) = (1 - λ) (2 - λ) (3 - λ) = 0

and it follows that the eigenvalues are λ₁ = 1, λ₂ = 2, and λ₃ = 3. Now solve for v = (v₁, v₂, v₃)ᵀ such that (A - λI) v = 0.

• For λ = 1,

[tex]\begin{bmatrix}0&2&3\\0&1&3\\0&0&2\end{bmatrix}v = 0[/tex]

tells us we can freely choose v₁ = 1, while the other components must be v₂ = v₃ = 0. Then v = (1, 0, 0)ᵀ.

• For λ = 2,

[tex]\begin{bmatrix}-1&2&3\\0&0&3\\0&0&1\end{bmatrix}v = 0[/tex]

tells us we need to fix v₃ = 0. Then -v₁ + 2 v₂ = 0, so we can choose, say, v₂ = 1 and v₁ = 2. Then v = (2, 1, 0)ᵀ.

• For λ = 3,

[tex]\begin{bmatrix}-2&2&3\\0&-1&3\\0&0&0\end{bmatrix}v = 0[/tex]

tells us if we choose v₃ = 1, then it follows that v₂ = 3 and v₁ = 9/2. To make things neater, let's scale these components by a factor of 2, so that v = (9, 6, 2)ᵀ.

Then we have A = PDP⁻¹ for

[tex]P = \begin{bmatrix}1&2&9\\0&1&6\\0&0&2\end{bmatrix}[/tex]

[tex]D = \begin{bmatrix}1&0&0\\0&2&0\\0&0&3\end{bmatrix}[/tex]

(d) Consult part (c) for all the details. Or, we can observe that λ₁ = 2 is an eigenvalue, since subtracting 2I from A gives a matrix of only 1s and det(A - 2I) = 0. Then using the eigen-facts,

• tr(A) = 3 + 3 + 3 = 9 = 2 + λ₂ + λ₃   ⇒   λ₂ + λ₃ = 7

• det(A) = 20 = 2 λ₂ λ₃   ⇒   λ₂ λ₃ = 10

and we find λ₂ = 2 and λ₃ = 5.

I'll omit the details for finding the eigenvector associated with λ = 5; I ended up with v = (1, 1, 1)ᵀ.

• For λ = 2,

[tex]\begin{bmatrix}1&1&1\\1&1&1\\1&1&1\end{bmatrix}v = 0[/tex]

tells us that if we fix v₃ = 0, then v₁ + v₂ = 0, so that we can pick v₁ = 1 and v₂ = -1. So v = (1, -1, 0)ᵀ.

• For the repeated eigenvalue λ = 2, we find the generalized eigenvector such that (A - 2I)² v = 0.

[tex]\begin{bmatrix}1&1&1\\1&1&1\\1&1&1\end{bmatrix}^2 v = \begin{bmatrix}3&3&3\\3&3&3\\3&3&3\end{bmatrix}v = 0[/tex]

This time we fix v₂ = 0, so that 3 v₁ + 3 v₃ = 0, and we can pick v₁ = 1 and v₃ = -1. So v = (1, 0, -1)ᵀ.

Then A = PDP⁻¹ if

[tex]P = \begin{bmatrix}1 & 1 & 1 \\ 1 & -1 & 0 \\ 1 & 0 & -1\end{bmatrix}[/tex]

[tex]D = \begin{bmatrix}5&0&0\\0&2&0\\0&2&2\end{bmatrix}[/tex]

A city has a population of 38,802,500 people. Esitmate this population to the nearest ten million

Answers

Answer:

40,000,000

Step-by-step explanation:

hope this works

( No Copy answer Use)

:)

20 points answer please

Answers

Answer:

just d

Step-by-step explanation:

Hope this helps!❆

p=5(q-2r)/r

solve for r

Answers

Answer:

r = 5q / (p + 10)

Step-by-step explanation:

p = 5(q - 2r)/r

multiply both sides by r

pr = 5(q - 2r)

distribute

pr = 5q  - 10r

add 10r to both sides

pr + 10r = 5q

Factor out r

r(p + 10) = 5q

divide both sides by p + 10

r = 5q / (p + 10)

what is the simplified fractional equivalent of the terminating decimal 0.12?

Answers

Answer:

6/50

Step-by-step explanation:

0.12 as a fraction is 6/50.

Answer:

3/25

Step-by-step explanation:

12/100=6/50=3/25 .

Which is the better deal? $39.55 for 7 pairs of jeans OR $22.48 for 4 pairs of jeans

Answers

Answer:

$22.48 for 4 pairs of jeans is a better deal.

Step-by-step explanation:

To find the price of one pair of jeans, you divide.

39.55 ÷ 7 = price of 1 pair of jeans

39.55 ÷ 7 = $5.65

22.48 ÷ 4 = price of 1 pair of jeans

22.48 ÷ 4 = $5.62

The price difference between the two prices is 3 cents. So, $22.48 for 4 pairs is a better deal that $39.55 for 7 pairs of jeans.

Hope this helps!

what is 4xy - 5y² - 3x² from 5x + 3y² - xy ? ​

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The equivalent expression is ~

[tex] \boxed{ \sf8 {y}^{2} + 3 {x}^{2} + 5x - 5xy}[/tex]

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

Let's solve ~

[tex]5x² + 3 {y}^{2} - xy - (4xy - 5y {}^{2} - 3 {x}^{2} )[/tex]

[tex]5x² + 3 {y}^{2} - xy - 4xy +5 {y}^{2} + 3 {x}^{2} [/tex]

[tex]3 {y}^{2} + 5 {y}^{2} + 3 {x}^{2} + 5x² - xy - 4xy[/tex]

[tex]8 {y}^{2} + 8 {x}^{2} - 5xy[/tex]

What is the area of this triangle

Answers

Answer:

A = 18 in²

Step-by-step explanation:

The area of a triangle can be calculated using the formula A = (bh)/2

where b = base length and h = height

Fortunately for us, the variables are already defined and given to us in the problem

All we have to do is plug in the values of h and b into the formula for area of a triangle

A = (bh)/2

b = 3 and h = 12

A = ((12)(3))/2

multiply 12 and 3

A = 36/2

divide 36 by 2

A = 18 in²

the average adult human has approximately 2.5 x10^13 red blood cells and 7 x 10^9 white blood cells ,about how many times greater is the number of red blood cells as the number of white blood cells

Answers

Step-by-step explanation:

The no. of red blood cells is 2.4993*10^13 more than the no. of white blood cells

? Question
Emma also wonders how long it will take her balance of $300 to reach $450, assuming she doesn't make
any payments toward it. Write the equation to represent the situation, and solve it using the inverse
relationship between exponential and logarithmic expressions.
Type the correct response in the box. Use numerals instead of words. Round your answer to the nearest
tenth.
It will take about
years for Emma's balance to reach $450.
Part D

Answers

Using an exponential equation, supposing a rate of 5%, it is found that it will take about 2.9 years for Emma's balance to reach $450.

An increasing exponential function is modeled by:

[tex]A(t) = A(0)(1 + r)^t[/tex]

In which:

A(0) is the initial value.r is the growth rate, as a decimal.

In this problem:

Her initial balance is of $300, hence [tex]A(0) = 300[/tex].The growth rate is of 15%, hence [tex]r = 0.15[/tex]

Then:

[tex]A(t) = A(0)(1 + r)^t[/tex]

[tex]A(t) = 300(1 + 0.15)^t[/tex]

[tex]A(t) = 300(1.15)^t[/tex]

It will reach $450 after t years, for which A(t) = 450, hence:

[tex]A(t) = 300(1.15)^t[/tex]

[tex]450 = 300(1.15)^t[/tex]

[tex]1.15^t = \frac{450}{300}[/tex]

[tex]1.15^t = 1.5[/tex]

[tex]\log{(1.15)^t} = \log{1.5}[/tex]

[tex]t\log{1.15} = \log{1.5}[/tex]

[tex]t = \frac{\log{1.5}}{\log{1.15}}[/tex]

[tex]t = 2.9[/tex]

It will take about 2.9 years for Emma's balance to reach $450.

A similar problem is given at https://brainly.com/question/14773454

Answer:

It will take about 2.9 years for Emma’s balance to reach $450.

(x+a)^2 -7 = x^2 +10x +b

Work out the value of a and b.

Answers

Answer:

(x+a)²-7=x²+10x+b

simplifying,we get

x²+2ax+a²-7=x²+10x+b

the coefficient of x on both sides should be equal

therefore

2a=10

a=10/2=5

also for b

a²-7=b

5²-7=25-7=b

b=18

a=5

What is the slope of the line?

Answers

The slope of this line is 2!! :)

Answer:

2

Step-by-step explanation:

Slope equals rise over run. use the slope formula

slope= (y2-y1)/(x2-x1)

find two points on the line. I used points (0,1) and points (1,3)

0=x1

1=y1

1=x2

3=y2

plug into the equation and you get

(3-1)/(1-0)=2

1) -x2
-Х2
I need help with this problem

Answers

if you typed in -x2-x2 it would be -x4

What will be displayed when the following code is executed? number = 6 while number > 0: number -= 3 print(number, end = ' ').

Answers

With number = 6, the while condition is satisfied. Then number is decremented by 3, meaning we replace the value of number (6) with its current value minus 3 6 - 3 = 3.

Then with number = 6, we still have number > 0, so we decrement again and end up with number = 0.

With number = 0, number > 0 is no longer true, so we exit the loop.

Then the print statement simply prints the current value of number, which is 0.

What is product in math.

Answers

Answer:

so when you Mutpliy #*#  = #product

Step-by-step explanation:

EX: 3*4=12

Of the following sets which are equivalent to the set S = {an even number less than 10 } is

A = {Prime number less than 10 }
B = {Odd factor less than 15}
C= {Odd numbers less than 7}
D ={An even number between 10 and 15}
E ={An odd number between 10 and 16}​

Answers

Answer:

A,  2

Step-by-step explanation:

We can immediately rule out B and C; they are odd numbers while S is an even number.

We can also rule out D and E. This is because D and E are greater than or equal to 10, while S is less than 10.

A number that can fulfill the requirements for both A and S is 2

How is the graph of g(x) = [tex](x-10)^{2}[/tex] related to the graph of f(x)= [tex]x^{2}[/tex]

Answers

(x - 10)² is the graph x² by translation of 10 units moved to the right.


Find the missing angle measurement in each set of supplementary angles.

Answers

Supplementary angles sum up to 180°. Take the missing angle as 'x'.

148 + x = 180

x = 180 - 148

x = 32°

=》 Angle ABD = 32°

_________

Hope it helps!

RainbowSalt2222 ☔

Answer:

32 degrees

Step-by-step explanation:

Hi there!

Angle ABC measures 180 degrees since it's a straight line.

To find angle ABD, we simply subtract the given angle that measures 148 degrees from 180:

180-148 = 32

Therefore, angle ABD measures 32 degrees.

I hope this helps!

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