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

URGENT!!!! UNIT 4 CONGRUENT TRIANGLES
HOMEWORK 6 PROVING TRIANGLES CONGRUENT: ASA AAS AND HL

Answers

As per the question there are four congruent tringles and these congruency is that all sides are equal in length and size.

The four triangles are ASA, AAS and HL. The ∠BD divides ∠ABD. ∠BDA is equal to ∠BCD as given. In second, ST is parallel to UN and congruent to VU. That is also given. In the third statement the FH bisects the ∠EHG. FRH is congruent to FGH. Hence given.

Learn more about the PROVING TRIANGLES CONGRUENT: ASA AAS AND HL.

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Which number represents
27,860,000 using scientific notation ?

Answers

Answer:

B. 2.786 x 10 ^ 7

Step-by-step explanation:

For scientific notation you have 1 number to the left of the decimal point and 10 gets raised to the power of the number of decimal places it takes to get that one number.

Pls can someone pls help me
Please show your work

Answers

Answer:

x = 8

I dunno what the question is in the first place, but I assume you are solving for x.

Step-by-step explanation:

The two given angles are equivalent because they are parallel and they have a line that intersects.

The line creates two angles on each side of each line, which is 120 or 60 because there are 180 degs on a straight line.

The obtuse side is 120, and the -8 + 16x is also on an obtuse angle, showing that they are equal.

120 = -8 + 16x

128 = 16x

8 = x

x = 8

4-0,9+(-0,11)-(-1,3) PLEASE HELP

Answers

Answer:

-20

Step-by-step explanation:

PEMDAS

a toy car costing 500.00 is reduced by 10% in the sale how much does it cost now?

Answers

After the 10% reduction in the price of the  toy car, the car costs 450.

In order to determine the cost of the toy car after the price was reduced by 10%, the first step is to determine what 10% of $500 is.

10% x 500

0.1 x 500 = 50.

The second step is to subtract the value of the 10% price reduction from the original cost of the  toy car.

500 - 50 = 450

To learn more about how to calculate discounts, please check: https://brainly.com/question/9350849?referrer=searchResults

12 + (-4) - 2/5j - 4/5j + 5

Answers

The answer is
12+ 5= 17
17+(-4) -2/5= 12.6

Answer:

-6j+65/5

Step-by-step explanation:

PLEASE GIVE ME THE BRAINLIEST ANSWER

Monica deposits ​$300 into a savings account that pays a simple interest rate of ​3.9%. Paul deposits ​400$ into a savings account that pays a simple interest rate of ​3.2%. Monica says that she will earn more interest in 1 year because her interest rate is higher. Is she​ correct? Justify your response.

Answers

Answer:

For Monica : Principle = $300 rate : 3.4% time 1 yr

Simple interest = Prt/100 = 300*3.4*1/100 = 1020/100= $ 10.2

For Paul : Principle = $400 rate : 2.8% time 1 yr

Simple interest = Prt/100 = 400*2.8*1/100 = 1120/100= $ 11.2

Step-by-step explanation:

If the output number y is -52 (y=5x-2) what is the input number? SHOW WORK

Answers

Answer:

the input number is -10

Step-by-step explanation:

output is always y

input is always x

so instead of y, put -52

-52=5x-2  add 2 to each side to ger 5x by itself

-50=5x     divide both sides by 5 to get x by itself

-10=x

x is the input so the input is -10

what is the prime factorization of 252

1. 2^2x7x9
2. 2x7x27
3.2^2×3^2×7
4.2^3×3×7​

Answers

Answer:

Prime factorization: 2x2x3x3x7

Exponential form: = 2^2 x 3^2 x 7

Step-by-step explanation:

What can i multiply 2/3 by to make a product of 1? Explain how you know.

Answers

Answer:

[tex]\mathsf{\frac{3}{2}}[/tex]

Step-by-step explanation:

In order to get a product of 1, you must multiply [tex]\mathsf{\: \frac{2}{3}}[/tex] with another fraction that will result in the same value for the numerator and the denominator, which is its reciprocal.  

In other words, [tex]\mathsf{\frac{2}{3} \:\times\frac{3}{2}\:=\:\frac{6}{6}\:=\:1}[/tex].

Therefore, you could multiply [tex]\mathsf{\: \frac{2}{3}}[/tex] by  [tex]\mathsf{\frac{3}{2}}[/tex] to make a product of 1.    

Determine the domain of each graph:

Answers

Answer:

The 1st

Domain is (1,-3)

The second

Domain is (R)

The 3rd

Domain = (R)

The 4th

Domain =(-1,+infinity )

Respectively

Simplify this expression 3(2h + 5)

Answers

6h+15
Explaination: cause I’m a genius
The answer is 6h + 15

Explanation: use the distributive property.
3 x 2h = 6h
3 x 5 = 15


PLEASE HELP! 20 POINTS

What is the x-intercept of the line with this equation -2x+1/2y=18?

Enter your answer in the box
( ,0)​

Answers

Answer:

x - intercept = - 9

Step-by-step explanation:

To find the x- intercept, let y = 0 in the equation and solve for x

- 2x + [tex]\frac{1}{2}[/tex] (0) = 18

- 2x + 0 = 18

- 2x = 18 ( divide both sides by - 2 )

x = - 9 or (- 9, 0 ) in coordinate form

The black graph is the graph of
y = f(x). Choose the equation for the
red graph.
a. y = f(x + 3)
b. y = f(x – 3)
C. y + 3 = f(x)
d. y - 3 = f(x)

Answers

Answer:

C

Step-by-step explanation:

When

f(x+3) would indicate a Shift 3 units to the left

f(x-3) indicates a Shift 3 units to the right

y+3=f(x) indicates a Shift 3 units up

y-3=f(x) indicates a Shift 3 units down

Because the graph is shifted 3 units up, it would be y+3=f(x), which is option C

Follow the steps to finish solving the equation -3x +18 = 7x

1. Add 3x to both sides to isolate the variable term.

2. Divide both sides by 10.

x=

Answers

Answer:

x = 9/5 or 1.8

Step-by-step explanation:

Answer: Or 9/5 Have a great day :)

Step-by-step explanation:

-3x+18= 7x

18+= 10x

x= 18/10

x= 9/5

PLEASE HELP! ;-;


A particle rotates in a clockwise motion according to the equation x=3cos(0.2t+0.813) what is its frequency?


Answer= [ ? ] hertz

Answers

The particle has a frequency of 0.032 hertz.

The particle experiments a sinusoidal motion, whose mathematical model is described below:

[tex]x = x_{o} + A\cdot \cos (\omega\cdot t + \phi)[/tex] (1)

Where:

[tex]x[/tex] - Current position, in meters.[tex]x_{o}[/tex] - Initial position, in meters. [tex]\omega[/tex] - Angular frequency, in radians per second. [tex]t[/tex] - Time, in seconds.[tex]\phi[/tex] - Angle phase, in radians.

The frequency ([tex]f[/tex]), in hertz is defined by this formula:

[tex]f = \frac{\omega}{2\pi}[/tex] (2)

By direct observation on the formula described in statement we find that [tex]\omega = 0.2\,\frac{rad}{s}[/tex], then we find the frequency of the particle by (2):

[tex]f \approx 0.032\,hz[/tex]

The particle has a frequency of 0.032 hertz.

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and side q has a
In the 30-60-90 triangle below, side s has a length of
length of
30°
g
10
90°
60°
S
A. 5.10.15
B. 10.13.20
C. 105: 105

Answers

Answer:

E

Step-by-step explanation:

Using the cosine and sine ratios in the right triangle and the exact values

cos60° = [tex]\frac{1}{2}[/tex] , sin60° = [tex]\frac{\sqrt{3} }{2}[/tex] , then

cos60° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{s}{10}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2s = 10 ( divide both sides by 2 )

s = 5

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

sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{q}{10}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

2q = 10[tex]\sqrt{3}[/tex] ( divide both sides by 2 )

q = 5[tex]\sqrt{3}[/tex]

Read the scenario. 1. The temperature at 6 A.M. was -5°F. By noon the temperature had risen by 5°F. What was the temperature at noon? Represent these values with integers and model them on a number line. + + + 0 1 2 3 4 5 6 7 8 9 10 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 Read the scenario. 2. A diver was 8 feet below sea level. The diver swam back up 8 feet. What is the location of the diver? Represent these values with integers and model them using integer tiles.​

Answers

Answer:

mm

Step-by-step explanation:

Lin is baking cakes. Each cake needs 34 cup of brown sugar, and Lin uses 412 cups of brown sugar for the entire batch of cakes. How many cakes does Lin bake?

Answers

Answer:

12

Step-by-step explanation:

412 ÷ 34 = 12.1176...

Round down to 12 cakes

If  Each cake needs 34 cup of brown sugar, and Lin uses 412 cups of brown sugar for the entire batch of cakes then Lin can bae 12 cakes.

What is Division?

A division is a process of splitting a specific amount into equal parts.

Given that Lin is baking cakes. Each cake needs 34 cup of brown suga

Lin uses 412 cups of brown sugar for the entire batch of cakes

We need to find the number of cakes Lin bake with 412 cups of brown sugar.

To find this we have to divide 412 by 34 cup.

412/34

Four hundred twelve by thirty four

12.111

Hence, if  Each cake needs 34 cup of brown sugar, and Lin uses 412 cups of brown sugar for the entire batch of cakes then Lin can bae 12 cakes.

To learn more on Division click:

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#SPJ2

Is this a function?

Answers

Answer:

Yes

Step-by-step explanation:

Yes, the graph represents a function because it passes the vertical line test:  Any vertical line drawn through this graph intersects this graph only once.  

Choose the angles that are adjacent to <3

Answers

Answer:

<2 & <4

Step-by-step explanation:

yeah-ya........ right?


2.8,

2
1
4
, and

2.45 in order from least to greatest

Answers

Answer: -2.8, -2.45, -2, 1, and 4.

Step-by-step explanation:

Larger negatives go first so -2.8 is the largest and you continue using that method until 1 where the smaller number go first. Positives.

Jordan and Ben exercise at the same gym. The table below shows the number of calories they burned in each of their last 5 workouts.
How many calories would ben need to burn in his next workout to have the same average as Jordan? ​

Answers

Answer: The answer is 55 more calories than jordan in the next session

Step-by-step explanation: So sorry, I am bad at explaining :(

Answer:

  760 calories

Step-by-step explanation:

Jordan's average is ...

  (850 +674 +729 +658 +614)/5 = 705

Then the total number of calories Ben needs to burn in 6 sessions is ...

  705×6 = 4230

So far, Ben has burned ...

  716 +635 +802 +687 +630 = 3470 . . . calories

So, in his next session, Ben must burn ...

  4230 -3470 = 760 . . . calories

To have the same average after 6 sessions that Jordan now has after 5 sessions, Ben must burn 760 calories in his 6th session.

____x0.01 = 180.4932
what's the answer?

Answers

18049.32

180.4932/0.01= 18049.32
or
Just move the decimal point twice to the right

Dorit wants to make farmer’s cheese. She knows that for 2 gallons of milk, she will need 14 teaspoon of rennet. She only has 12 gallon of milk. Which statement(s) describe the step(s) Dorit can take to determine how much rennet, in teaspoons, she will need to make cheese?

Answers

Answer:

to do this you need to Multiply 14 by 6 to satisfy the fact she has 6 times the amount of milk for 14 teaspoons of rennet

The area of the regular hexagon is 169. 74 ft2. A regular hexagon has an apothem with length 7 feet and an area of 169. 74 feet squared. What is the perimeter, rounded to the nearest tenth? 24. 2 ft 28. 3 ft 48. 5 ft 56. 8 ft.

Answers

The perimeter of the hexagon is the sum of its side lengths

The perimeter of the hexagon is 48.5 ft

The given parameters are:

[tex]\mathbf{Area = 169.74}[/tex] --- the area of the hexagon

[tex]\mathbf{a = 7}[/tex] -- the apothem

Let the perimeter of the hexagon be p.

So, the area is calculated as:

[tex]\mathbf{Area = \frac 12 pa}[/tex]

Substitute values for Area and (a)

[tex]\mathbf{169.74 = \frac 12 \times p \times 7}[/tex]

Multiply both sides by 2

[tex]\mathbf{339.48= p \times 7}[/tex]

Divide both sides by 7

[tex]\mathbf{48.5= p }[/tex]

Rewrite as:

[tex]\mathbf{p = 48.5}[/tex]

Hence, the perimeter of the hexagon is 48.5 ft

Read more about perimeter and areas at:

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given f(x) and g(x) = f(x) + k, use the graph to determine the value of k.
PLEASE HELP

Answers

Answer:

k=5

Step-by-step explanation:

The graph of g(x) is raised by 5 units so k is 5

Work out the equation of
the line that goes through
(3, 2) and (-1, 10)

Answers

Answer:

[tex]The\,\,equation\,\,will\,\,be\,\,2x+y=8[/tex]

Step-by-step explanation:

Let, A=(3,2)

      B=(-1,10)

So, The equation will be

[tex]\frac{x-x_{1} }{x_{1} -x_{2} } =\frac{y-y_{1} }{y_{1} -y_{2} } \\=>\frac{x-3 }{3-(-1) } =\frac{y-2 }{2-10} \\=>\frac{x-3 }{4} =\frac{y-2 }{-8}\\=>-8x+24=4y-8\\=>8x+4y=32\\=>2x+y=8[/tex]

Hope you have understood this.....            

ask me if you have any confusion.....            

if you liked it pls mark it as the brainliest

Answer:

y = - 2x + 8

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

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

with (x₁, y₁ ) = (3, 2 ) and (x₂, y₂ ) = (- 1, 10 )

m = [tex]\frac{10-2}{-1-3}[/tex] = [tex]\frac{8}{-4}[/tex] = - 2 , then

y = - 2x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (3, 2 )

2 = - 6 + c ⇒ c = 2 + 6 = 8

y = - 2x + 8 ← equation of line

7. Ashok gets an increase of 4% in his weekly salary. In addition to that, he gets ? 75 per week. If his present salary is 2,500 per week, what will be his new salary next week?
a. 2600
b. 2675
c. 2700
d. 2765​

Answers

B.

I think B will make more B make more sense because you say he gets 75 a week.

The arithmetic sequence 2, 4, 6, 8, 10,. . . Represents the set of even natural numbers. What is the 100th even natural number? a100 = What is the sum of the first 100 even natural numbers? S100 = Complete the sentence below with less than, greater than, or equal to. The sum of the first 100 even natural numbers is the sum of the first 101 odd natural numbers.

Answers

The 100th even natural number is 200

Given the sequence 2, 4, 6, 8, 10....

The nth term of the sequence is expressed as:

Tn  = a + (n - 1)d

a is the first term = 2

d is the common difference = 4 - 2 = 6 - 4 = 2

n is the number of terms

Substitute the given parameters into the formula

Tn = 2(n-1)2

Tn = 2+(2n - 2)

Tn = 2n

Get the 100th term

T10=  2(100) = 200

Hence the 100th even natural number is 200

Learn more on AP  here: https://brainly.com/question/24072079

Answer:

1)

200

2)  

10100

3)

less than

Step-by-step explanation:

on god

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