Write an equation if the line that passes through (0,-2) and (2,2)

Answers

Answer 1

Answer:

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

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)

1) Determine the slope (m)

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where the two points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Plug in the given points (0,-2) and (2,2)

[tex]=\frac{2-(-2)}{2-0}\\=\frac{2+2}{2}\\=\frac{4}{2}\\=2[/tex]

Therefore, the slope of the line is 2. Plug this into [tex]y=mx+b[/tex] as m:

[tex]y=2x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=2x+b[/tex]

Plug in one of the given points and solve for b

[tex]2=2(2)+b\\2=4+b[/tex]

Subtract 4 from both sides to isolate b

[tex]2-4=4+b-4\\-2=b[/tex]

Therefore, the y-intercept of the line is -2. Plug this back into [tex]y=2x+b[/tex]

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

I hope this helps!


Related Questions

Write in standard form: forty-seven hundredths

Answers

Answer:

0.47

Step-by-step explanation:

0.47

47 hundredths is equal to 0.47.

If this helps please mark as brainliest

Answer:

The standard form of forty-seven hundredths is 0.47.

Step-by-step explanation:

Have a nice day! :-)

TeamRocket3

What is the median of the following numbers?
10, 6, 4, 4, 6, 4, 1

Answers

Answer:

4

Step-by-step explanation:

The median to this problem is 4 if

Testing a robot. The robot is 17 inches tall and weighs 4 pounds. The employees of the company marked a grid on the floor and set the robot at (5,3). They programmed the robot to walk 2 yards east and 6 yards north each minute. What will

Answers

Answer:

After 7 steps, co-ordinate would be  (35, 21) in the N-E direction

Step-by-step explanation:

Complete question

Testing a robot. The robot is 17 inches tall and weighs 4 pounds. The employees of the company marked a grid on the floor and set the robot at (5,3). They programmed the robot to walk 2 yards east and 6 yards north each minute. What will the co-ordinate after 7 steps

Solution

The grid on the floor is (5, 3)

5 is the X -co-ordinate and 3 is the y co-ordinate

Since the robot is walking in the north and east direction , it will be in the first co-ordinate only

After seven steps, in east direction, the co-ordinate would be 7 * 5 = 35

After seven steps, in north direction, the co-ordinate would be 7 * 3 = 21

So the co-ordinate would be (35, 21)

The triangles are similar, find the length of the unknown side. Round your answers to the nearest tenth (0.1), if necessary.
please help me

Answers

Answer:

[tex]22[/tex]

Step-by-step explanation:

Similar shapes must have corresponding sides in a constant proportion. Therefore, we can set up the following equation and solve for [tex]?[/tex]:

[tex]\frac{28}{42}=\frac{?}{33}[/tex] (divide corresponding sides)

[tex]\frac{28}{42}=\frac{?}{33},\\\\?=\frac{28\cdot 33}{42}=\boxed{22}[/tex]

All I need to know is what X is for this problem

Answers

Answer:

x = 19°

Step-by-step explanation:

We know that ∠UTV and ∠RTS are vertical angles, therefore is the measure of ∠UTV = 85, then the measure of ∠RTS would also be 85, by the "Vertical angles are congruent theorem.

=> ∠UTV ≅ ∠RTS

=> ∠UTV = 85°

=> ∠RTS = 85°

Now that we know all three angles of within the triangle, we can say that the sum of all three angles within the triangle is 180, we can conclude;

∠R + ∠T + ∠S = 180°

(3x) + (85°) + (2x) = 180°

5x + 85° = 180°

5x = 180° - 85°

5x = 95

x = 95/5

x = 19°

Hence, there is you're answer! x = 19°

Hope this helps!

Which expression is equivalent to – 2x²y3 ( 4x2 + 3xy – 5y3)?
A. -8x4y3 - 6x3,4 + 10x2,6
B. _8x4 y3 - 6x2y3 + 10x2,9
OC. 2x4 y3 + x3y4 – 7x2,6
O D. 2x4y3 + x2y3 – 7x2y9
Quicklyyyy please

Answers

Answer:

A. -8x⁴y³ - 6x³y⁴ + 10x²y^6

Step-by-step explanation:

Given:

– 2x²y³ ( 4x² + 3xy – 5y³)

Open the parenthesis

= (– 2x²y³ * 4x²) + (– 2x²y³ * 3xy) - (– 2x²y³ * 5y³)

= -8x⁴y³ + (-6x³y⁴) - (- 10x²y6^6)

= -8x⁴y³ - 6x³y⁴ + 10x²y6^6

The correct answer is

A. -8x⁴y³ - 6x³y⁴ + 10x²y^6

Find the volume of each figure. Simplify your answers.

Please help ASAPPPP
thank you so much!!!!

Answers

Answer:

[tex]98.28\:\mathrm{ft^3}[/tex]

Step-by-step explanation:

The volume of a rectangular prism is given by [tex]V=l\cdot w\cdot h[/tex], where [tex]l[/tex] is the length of the prism, [tex]w[/tex] is the width of the prism, and [tex]h[/tex] is the height of the prism.

Substituting given values, we get:

[tex]V=2.5\cdot 4.25\cdot 9.25=98.28125\approx \boxed{98.28\:\mathrm{ft^3}}[/tex]

Since "Simplify your answers" is very subjective, I've rounded to the nearest hundredth as that is reasonably universal, but you may need to adjust the rounding as desired.

What is the volume of a hollow ball whose other radius is 200m and inner radius of
100m.
What is the mass if it is iron*

Answers

Answer:

The volume of the hollow ball will be equal to the difference between the volume of a sphere with the outer radius and the volume of a sphere with the inner radius.

Remember that the volume of a sphere of radius R is given by:

V = (4/3)*pi*R^3

where pi = 3.14

Then if R is the outer radius, and r is the inner radius, the volume of the hollow ball is:

V = (4/3)*pi*( R^3 - r^3)

In this case, we have:

R = 200m

r = 100m

Then the volume of the hollow ball is:

V = (4/3)*3.14*( (200m)^3 - (100m)^3)

V = 29,306,666.67 m^3

Now, if this hollow ball is made of iron, we want to find the mass.

Remember the relation:

Mass = Density*Volume.

We know that the density of the iron is:

D = 7300 kg/m^3

Then the mass of this hollow ball is:

M = (7300 kg/m^3)*(29,306,666.67 m^3) = 213,938,666,666.6 kg

A car travels a distance of 360 km in a time of 3 hours.
What is the car's average speed?

Answers

Answer:

convert km into m

1 km=1000m

360 km=1000*360m

=360000m

again,convert 3 hours into seconds

3 hours=60*60*3

=10800 second

average spped=total distance /time taken

=360000/10800

=33.33 m/s

Step-by-step explanation:

Kelly is making a rectangular garden that has a width of (2x + 3) and length of (2x - 4)
How much fencing does she need to enclose the garden (perimeter)?

Answers

Answer 8x - 2
Explanation

Resh's gross pay is $1300 per fortnight. Fortnightly deductions from her gross pay are: PAYE: $31.85 FNPF: 5% HEALTH INSURANCE: $20.50 calculate her fortnightly net pay??

Answers

Answer:

$1182.65

Step-by-step explanation:

Given :

Fortnight gross pay = $1300

Given :

PAYE: $31.85 FNPF: 5% HEALTH INSURANCE: $20.50 calculate her fortnightly net pay

FNPF = 5% = 0.05 * $1300 = $65

PAYE = $31.85 ; HEALTH INSURANCE = $20.50

Total deduction = $(65 + 31.85 + 20.50) = $117.35

Net pay :

Gross pay - deduction

$1300 - $117.35 = $1182.65

I need help immediately, you’ll receive brainlest if answered correctly!!!

Answers

Answer: 120

Step-by-step explanation:

Answer:

120°

Step-by-step explanation:

please hurry i need this done asappppp

Answers

Answer:

11,25

Step-by-step explanation:

Find the value of:x^0+3​

Answers

Answer:

4

Step-by-step explanation:

x^0 means 1. so 1+3=4

Help please !!!Tomas has 135 more songs downloaded than Carl. Together they have 623 songs downloaded.
Part A
What system of equations could be used to determine how many songs each has downloaded?

Answers

Answer:

t + c = 623

t = c + 135

thomas has 379 songs downloaded, and carl has 244

Step-by-step explanation:

togheter they have 623 songs, aka the sum of thomas (t) and carl (c) is 623.

t + c = 623

thomas has 135 more than Carl. so Carl plus 135 is equal to thomas

t = c + 135

now you can solve it:

t + c = 623

(c+135) + c = 623

c + c = 488

2c = 488

c = 244

carl has 244 songs downloaded

t  + 244 = 623

t = 379

thomas has 379 songs downloaded

The system of equations represents t + c = 623 and t = c + 135 and Tomas has 379 while Carl has 244 downloaded.

What is the equation?

An equation can be defined in numerous ways. Algebraically speaking, an equation is a statement that shows the equality of two mathematical expressions.

As per the given,

Together they have 623 songs downloaded.

t + c = 623

Tomas has 135 more songs downloaded than Carl.

t = c + 135

By substitution,

c + 135 + c = 623

2c = 488

c =244

And , t = 244 + 135 = 379

Hence "The equations in the system show that Tomas has 379 while Carl has 244 downloaded and that t + c = 623 and t = c + 135 are represented".

For more about the equation,

brainly.com/question/10413253

#SPJ2

1.


For the graph of the function, identify the axis of symmetry, vertex and the formula for the function.


A. Axis of symmetry: x = –0.5; Vertex: (–0.5, 0.75); f(x) = –x2 + x


B. Axis of symmetry: x = –0.5; Vertex: (–0.5, 0.75); f(x) = x2 + x + 1


C. Axis of symmetry: x = –0.5; Vertex: (–0.5, –0.75); f(x) = x2 – x + 1


D. Axis of symmetry: x = –0.5; Vertex: (–0.5, 0.75); f(x) = x2 + 2x + 1

Answers

Answer:

D. Axis of symmetry: x = –0.5; Vertex: (–0.5, 0.75); f(x) = x2 + 2x + 1

Step-by-step explanation:

A. Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Down

Vertex:  

( 1 /2 , 1 /4 )

Focus:  

( 1 /2 , 0 )

Axis of Symmetry:  

x

=

1

2

Directrix:  

y

=

1

2

x

y

− 2

− 6

− 1

− 2

1

2

1

4

1

0

2

− 2

B. Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex:  

( − 1 /2 , 3 /4 )

Focus:  

( − 1 /2 , 1 )

Axis of Symmetry:  

x

=

1

2

Directrix:  

y

=

1

2

x

y

− 2

3

− 1

1

− 1

2

3

4

1

3

2

7

C. Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex:  

( 1 /2 , 3 /4 )

Focus:  

( 1 /2 , 1 )

Axis of Symmetry:  

x

=

1

2

Directrix:  

y

=

1

2

x

y

− 2

7

− 1

3

1

2

3

4

1

1

2

3

D. Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex:  

( − 1 , 0 )

Focus:  

( − 1 , 1 /4 )

Axis of Symmetry:  

x

=

− 1

Directrix:  

y

=

− 1

4

x

y

− 3

4

− 2

1

− 1

0

0

1

1

4

Carlos bought a new skateboard for $99.46 and a helmet and pad for $73.49. How much did Carlos spend in all?

I nee it done today

Answers

Answer:

Step-by-step explanation:

173

what is the result of subtracting the second equation from the first?
2x+7y=-8 - 2x-5y=-1

Answers

Answer:

12y = -7

Step-by-step explanation:

What is the value of a?
a+36°
a-27°

Answers

Answer:

hope this will help you more

Which table represents an exponential function

Answers

Answer:

Step-by-step explanation:

table3 represents exponential function

Molly and her friends just dined at a restaurant and left a tip of $20.54, which was equal to exactly 30% of the total bill. What was the total bill in dollars? Round your answer to two decimal places.

Answers

Answer:

68.47

Step-by-step explanation:

30%=0.3

20.54/0.3=68.4666……

6 $44 is shared between David, Jo and Mary in the ratio 2:3:5
How much does each receive?

Answers

Answer:

David=$8.8

Jo=$13.2

Mary=$22

Step-by-step explanation:

2+3+5=10

44/10=4.4

David=4.4x2=$8.8

Jo=4.4x3=$13.2

Mary=4.4x5=$22

8.8+13.2+22=44

A rectangular prism has a length of 6 inches, a height of 7 inches, and a width of 10
inches. What is its volume, in cubic inches?

Answers

Answer:

420

Step-by-step explanation:

just multiply all the numbers together

Answer: 420 cubic inches

Step-by-step explanation:

Use the formula V = lwh to solve.

V = L * W * H

V = 6 * 7 * 10

V = 420 cubic inches

Simplify the expression. Write your answer in positive exponent form:
(1/4) ^3 x (1/4) ^7

Answers

Answer:

1/4¹⁰

Step-by-step explanation:

this is the the simplified version for the question

A cylinder has a height of 5 feet. Its volume is 1,271.7 cubic feet. What is the radius of the cylinder?

Answers

Answer: [tex]9\ ft[/tex]

Step-by-step explanation:

Given

Height of the cylinder [tex]h=5\ ft[/tex]

Volume of the cylinder [tex]V=1271.7\ ft^3[/tex]

The volume of the cylinder is given by [tex]V=\pi r^2h[/tex]

Consider r be the radius of the circle

[tex]\Rightarrow 1271.7=\pi r^2\cdot 5\\\\\Rightarrow r^2=\dfrac{1271.7}{3.142\times 5}\\\\\Rightarrow r^2=80.948\\\Rightarrow r=8.99\approx 9\ ft[/tex]

Thus, the radius of the cylinder is [tex]9\ ft[/tex]

Using the unit circle, determine the value of sin(-240°).
A) -1/2
B) √3/2
C) 1/2
D) -√3/2

Answers

Answer:

B. √3/2.

Step-by-step explanation:

If we follow the circle from (1,0) clockwise through 240 degrees we end up at 120 degrees.

sin(120)

= √3/2

Hannah ordered a pizza. it was divided in 8 equal slices. Hannah ate two slices right away and another slice before bed. what friction of the pizza did she eat?​

Answers

Answer:

3/8

Step-by-step explanation:

8 slices

she ate 2 and then another

3 in total


the dimensions of a right rectangular prism are 8/5cm 10/3cm & 7/4cm what the volume of the prism

Answers

Answer:

16/3

Step-by-step explanation:

5w-8/3 =4w+2
Please solve with steps

Answers

Answer:

5w-8/3=4w+2

-8/3=-1w+2

-8=-1w+6

-14=-1w

14=w

Hope this helps, have a great day :)

9.

Identify the vertex of the graph. Tell whether it is a minimum or maximum.


A. (–2, 1); minimum

B. (–2, 1); maximum

C. (1, –2); minimum

D. (1, –2); maximum

Answers

Answer:

C. (1, –2); minimum

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The vertex is the turning point of the graph.

This is at (- 1, - 2)

The graph changes from decreasing to increasing at (- 1, - 2)

Hence is a minimum at (- 1, - 2)

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