Write the equation of the following line in slope-intercept form.

Write The Equation Of The Following Line In Slope-intercept Form.

Answers

Answer 1

Answer:

y = [tex]\frac{2}{5}[/tex] x + 4

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 ) = (- 5, 2) and (x₂, y₂ ) = (0, 4) ← 2 points on the line

m = [tex]\frac{4-2}{0-(-5)}[/tex] = [tex]\frac{2}{0+5}[/tex] = [tex]\frac{2}{5}[/tex]

The line crosses the y- axis at (0, 4 ) ⇒ c = 4

y = [tex]\frac{2}{5}[/tex] x + 4 ← equation of line


Related Questions

Nick and Darius are playing a number line game in math class. Nick says, "If you multiply my number by itself, you get 64."

What are all the possibilities for Nick's number?

Answers

Answer:

8

Step-by-step explanation:

8multiple by 8 is 64. to find an answer we will do the 8×8=64

Coach Tim needs to fill five
volleyballs with air. If each
volleyball has a diameter of 8
inches, what s the total volume
of air that Coach Tim will
heed? Round to the nearest
whole number.

Answers

Answer:

405

Step-by-step explanation:

because u have to do half of 8 which is 4 then u got to plug it in

Elaine had StartFraction 5 Over 8 EndFraction of a pizza left after lunch. She told 5 of her friends that they could share the rest. What fraction of the pizza did each of her friends get if they split it evenly?
A pizza with 8 slices. 5 slices are shaded.
StartFraction 1 Over 8 EndFraction
StartFraction 1 Over 5 EndFraction
StartFraction 3 Over 8 EndFraction
StartFraction 3 Over 5 EndFraction
Mark this and return

Answers

They each got 1/8 of a slice

Round 14.5621 to the nearest hundredth. Do not write extra zeros

Answers

Answer:

14.56

Step-by-step explanation:

Answer:

Your answer would be 14.56.

Step-by-step explanation:

What is the area of a parallelogram with a base of 7 meters and a height of 6 meters?
26 m2
42 m2
13 m2
35 m2

Answers

Answer:

the answer is 42 m2

Step-by-step explanation:

7×6=42

determine which point is the solution to the given system y=7x-26, y=4x-11

Answers

substitution
y = 7x-26 (1)

y = 4x-11 (2)

1⇒2

7x-26=4x-11

3x=15

x=5

y = 7(5)-26

y = 9

point (5,9)

Simplify
(4/5x+1)+(2/5x-1)

Answers

Answer:

0.4

Step-by-step explanation:

Hope this helps


someone help me please i don’t know how to do square units

Answers

Answer: 78.

Explaination:

To calculate the area of a triangle, multiply the height by the width aka the "base" then divide by 2.

In this case, the height is 13 and the width is 12.

[tex]S = \frac{height.width}{2} = \frac{13.12}{2} = 78[/tex].

Please show me how to do this step by step, I’m confused…

Answers

Here is the answer in exact form or decimal form.

Dante drove 405 miles using 20 gallons of gas.At this rate,how many gallons of gas would he need to drive 243 miles

Answers

[tex]\begin{array}{ccll} miles&gallons\\ \cline{1-2} 405&20\\ 243&g \end{array}\implies \cfrac{405}{243}=\cfrac{20}{g}\implies \cfrac{5}{3}=\cfrac{20}{g}\implies 5g=60 \\\\\\ g = \cfrac{60}{5}\implies g = 12[/tex]

Answer:

12

Step-by-step explanation:

405:20

81:4

243:12

A set of ordered pairs is shown. The set does not
represent a function.
{(-2,5), (0, 1), (3,6), (4, 6), (2,3), (5,-2),
(0,8)}
Which ordered pair could be removed from the set so it can represent a function


Answers

when x repeats it is not a function so (0,1) or (0,8) could be removed

What must be done to the expression x +14.1 to make it equal x? ​

Answers

Answer:

  add the opposite of the constant

Step-by-step explanation:

The opposite of the constant must be added to the expression:

  (x +14.1) +(-14.1) = x +(14.1 -14.1) = x +0 = x

find the area of the quadrilateral.​​

Answers

Step-by-step explanation:

the area of a triangle is baseline × height / 2.

we have 2 major triangles that define this quadrilateral :

A-D-B and C-D-B.

both triangles have the same baseline : M_D + M_B = 14 cm

what we need to do is get the 2 heights M_C and N_A.

N_A we know already : 8 cm

so,

area A-D-B = 14×8/2 = 14×4 = 56 cm²

M_C we get via Pythagoras of the right-angled triangle D-M-C :

D_C² = M_C² + M_D²

10² = M_C² + 6²

100 = M_C² + 36

64 = M_C²

M_C = 8 cm

so,

area C-D-B = 14×8/2 = 56 cm²

so, the total area of the quadrilateral is

56 + 56 = 112 cm²

Help please??????????

Answers

Answer:

B

Step-by-step explanation:

The graph hits the x axis at 5, -2, and -3/

The answer is b. You’re welcome

how do you calculate imaginary numbers?

Answers

An imaginary number is a complex number that can be written as a real number multiplied by the imaginary unit i, which is defined by its property i2 = −1. The square of an imaginary number bi is −b2. For example, 5i is an imaginary number, and its square is −25.

Identify the Input values: (0,2), (1,3), (5,9), (7,13) *

Answers

0, 1, 5, and 7 are the input values. The input values are the x values: (x, y).

An analysis of past maintenance costs indicates that maintenance cost is an average of $0.20 per machine-hour at an activity level of 10,000 machine-hours and $0.25 per machine-hour at an activity level of 8,000 machine-hours. If this activity is within the relevant range, what is the total expected maintenance cost if the activity level is 8,700 machine-hours?

Answers

Answer: $2000

Step-by-step explanation:

Variable cost = Change in cost ÷ Activity change

($2000 - $2000) ÷ (10000 - 8000) = $0

Fixed cost element = Final cost - Variable cost

$2000 - ($0.00 ×10000) = $2000

Therefore, the cost formula for total maintenance is $2000 plus $0 per hour

y = $2,000 + $0x

At a level of 8,700 machine-hours, the total cost is:

y = $2000 + ($0.00 ×8700) = $2000

Adam Sandler has 3 pairs of sneakers. They are black, blue and white. If he randomly chooses a pair, what is the probability he will NOT choose the blue pair?

Answers

Answer:

[tex]66\frac{2}{3}%[/tex]

Step-by-step explanation:

He has 3 pairs of sneakers:

1 Black

1 Blue

1 White

2 out of 3 are not blue.

This can be written as 2/3

Percentage is a certain number over the denominator of a base ten numeral.

2/3 = [tex]66\frac{2}{3}[/tex]%

Hope this helps :)

Have a great day!

I need Help ASAP I will give you brainlest and plus 5 stars ✨✨and plus thanks and 50 points EVeryONe need help this is due today so plz help me I need to turn it in today so plz help I will give everything if you do

Answers

Answer:

IT  IS THE LAST ONE

I did this a long time ago

the hypotenuse of 68 and 51

Answers

Answer:

Hypotenuse is 85

Step-by-step explanation:

Use the Pythagorean theorem to solve:

a^2+b^2=c^2

Answer:

85

Step-by-step explanation:

Pythagorean Theorem

a^2 + b^2 = c^2

Therefore

68^2 = 4624

51^2 = 2601

4624+2601 = 7225

square root of 7225 = 85

An equilateral triangle has an altitude of 21 inches. What is the side length of the triangle?

14√2
7√2
7√3
14√3

55 points simple question!

Answers

Hey, here’s your answer :)

The length of a rectangle is 5 cm longer than its width.
If the perimeter of the rectangle is 34 cm , find its area.

Answers

Answer:

A=66

Step-by-step explanation:

P=2(L+W)                             A= 11x6=66

34=2(x+5+x)

34=2(2x+5)

34/2 = 17

17=(2x+5)

17-5=12

12 divided by 2=6

so witch = 6 so 6+5=11 L= 11

Maria scored 72, 97, and 82 on her first three math tests. She wants to have a mean score of 82 for the quarter. How many points does she need on her last test to earn an 82 for the quarter?

Answers

Answer:

Step-by-step explanation:

77 points. 82*4=328 328-72-97-82=77 You can check this by adding 77,72,97, and 82, and divide it by 4

omg help plz i hate ixl

Answers

Answer:

8x + 2

Step-by-step explanation:

It's really quite simple!

Take not of the equation, 5x + 2 + 3x

As 5x and 3x have the same term, you can add them up together, giving you 8x.

Add the 2 on, and you have your answer!

Answer:

8x+2

Step-by-step explanation:

5x + 3x = 8x and 1+1=2

so the answer is 8x+2

Sin(x-y)+sin(x-y prove the identity

Answers

Step-by-step explanation:

[tex] \sin(x - y) + \sin(x + y) = 2 \sin(x) \cos(y) [/tex]

We use the sum and difference identities.

Remeber the sum difference identity is

[tex] \sin(x + y) = \sin(x) \cos(y) + \cos( x ) \sin(y) [/tex]

and

[tex] \sin(x - y) = \sin(x) \cos(y) - \sin(x) \cos(y) [/tex]

So we get

[tex] (\sin(x) \cos(y) - \sin(y) \cos(x) ) + \sin(x) \cos(y) + \sin(y) \cos(x) [/tex]

Combine like Terms.

[tex]2 \sin(x) \cos(y) = 2 \sin(x) \cos(y) [/tex]

We have provided it.

A tin contained 10 3/5 liter of oil . 1 2/7 liter of oil was leaked and 7 1/10 liter used up .Find how much oil is left in the tin.​

Answers

The liter of oil tin contained

[tex] = 10 \ \frac{3}{5} [/tex]

The liter of oil used and leak

[tex] = 1 \frac{2}{7} + 7 \ \frac{1}{10} [/tex][tex] = \frac{9}{7} + \frac{71}{10}[/tex][tex] = \frac{9 \times 10}{7 \times 10} + \frac{71 \times 7}{10 \times 7} [/tex][tex] = \frac{90}{70} + \frac{497}{70} [/tex][tex] = \frac{587}{70} [/tex]

The liter of oil left in the tin

[tex] = \frac{53}{5} - \frac{587}{70} [/tex][tex] = \frac{53 \times 14}{5 \times 14} - \frac{587 \times 1}{70 \times 1} [/tex][tex] = \frac{742 - 587}{70} [/tex][tex] = \frac{155 \div 5}{70 \div 5} [/tex][tex] = \frac{31}{14} [/tex][tex] = 2 \frac{3}{14} [/tex]

~nightmare 5474~

Answer:

2.2 l of oil was left.

Step-by-step explanation:

[tex]Total=10\frac{3}{5} =10.6l\\Used=7\frac{1}{10} =7.1l\\Leaked=1\frac{2}{7} =1.28l\\[/tex]

Total used=7.1l+1.28l=8.38l

[tex]Left=10.6l-8.38l=2.22l[/tex]

The sum of a number and 12 3/4 is 16 4/9. Find the number.

Answers

Answer:

3 25/36

Step-by-step explanation:

16 4/9 - 12 3/4 = 3 25/36

Answer:

[tex]x + 12 \frac{3}{4} = 16 \frac{4}{9} \\ \\ x + \frac{51}{4} = \frac{148}{9} \\ \\ x = \frac{148}{9} - \frac{51}{4} \\ \\ x = \frac{592}{36} - \frac{459}{36} \\ \\ x = \frac{133}{36} \\ \\ \\ x = 3 \frac{25}{36} [/tex]

So; the number

[tex]3 \frac{25}{36} [/tex]

Find area of a circle of radius 30 cm use

Answers

Answer: A≈2827.43cm²

Step-by-step explanation:

A= πr² =π·30²≈2827.43339cm²

Find the value of 4/3 ÷ 5/2

Answers

4/3 ÷ 5/2

4/3 × 2/5 (by reciprocal)

8/15

Therefore, 8/15 is the correct answer

What is 31 - (15 + 25) = ? thanks if you help!

Answers

Answer:-9

Step-by-step explanation:

Answer:

-9

Step-by-step explanation:

It is -9 because, using order of operations, you need to do the parentheses first. 25 + 15 is 40. Then, you do subtraction. 31-40=-9.

Hope this helps :)

Other Questions
Blake and Jacob went shopping forback to school clothes. Blake boughtthree shirts and one pair of pantsand spent $38.00. Jacob bought fourshirts and three pairs of pants andspent $71.50. Assuming the shirtsand pants were the same price.What was the cost of each?Answer (Shirt, Pants) In Missy's sports card collection, 3/4 of the cards are baseball cards. In Frank's collection, 8/12 are baseball cards. Frank says they have the same fraction of baseball cards. Is he correct? yellow cab taxi charges a $1.75 flat rate in addition to $0.65 per mile. kim has no more than $10 to spend on a ride. how many miles can kim travel without exceeding his limit? Which law allowed for some wealthy southern men to be excused from beingrequired to serve in the confederate army during the civil war? *Exemption Law40 Slave LawService Excusal Law20 Slave LawSubmitClear form What percent of 64 is 4?1/16%6 1/4%62 1/2%625% In a fruit bowl, there are 8 apples, 2 bananas, and 4 pineapples. What is the ratio of pineapples to bananas? Reduce if necessary. While in detention, Greg and some other naughty kids wrote symbols on a desk. Dina wrote one more symbol than Greg. Vivian wrote one more symbol than Dina, and Yuri wrote one more symbol than Vivian. How many symbols did Vivian write if the teacher made them wash 142 symbols off the desk? 2. A scatter plot of data showing the percentage of total Internet users who visit a video sharing Web site on a given day in I December includes the points (2010, 17.0) and (2008, 0.3). Write the slope-intercept form of an equation for the line of fit.please hurry i need this by tommorow Latitude and longitude describe locations on the Earth with respect to the equator and prime meridian. The table shows the latitude and daily high temperatures on the first day of spring for different locations with the same longitude. A 2-row table with 9 columns. The first row is labeled latitude (degrees North) with entries 42, 45, 39, 35, 32, 41, 40, 33, 30. The second row is labeled high temperature (degrees Fahrenheit) with entries 53, 51, 67, 63, 70, 58, 61, 67, 72. Which statement describes the slope of the line of best fit for the data? The temperature decreases by about 0. 9 for each 1 degree increase north in latitude. The temperature decreases by about 1. 7 for each 1 degree increase north in latitude. The temperature increases by about 0. 8 for each 1 degree increase north in latitude. The temperature increases by about 1. 3 for each 1 degree increase north in latitude. 8-10-((-2) +(-5) - 3-(-4)) You are working on charge-storage devices for a research center. Your goal is to store as much charge on a given device as possible. The facilities allow you to generate almost any potential difference v you need, but you are restricted to using a single parallel-plate capacitor. The area and separation distance of the plates are fixed, and the dielectric materials available to you are paper ( = 3. 0, emax=4. 0107v/m), mylar ( = 3. 3, emax=4. 3108v/m), quartz ( = 4. 3, emax=8106v/m), and mica ( = 5, emax=2108v/m). A walking path across a park is represented by the equation y=-3x - 6. Anew path will be built perpendicular to this path. The paths will intersect atthe point (-3, 3). Identify the equation that represents the new path.10+-1010101o A. y=-3x+2 Question#10 will give brainliest! I need help with problem 7 What is the role of the ion channel (in easy words) The star of which 1980s sitcom performed magic on ""saturday night live""?. examine examples of personification in the ballad "The owl and the Cat," How is personification used in the ballad? How long did the Cambrian period last for? I need the help ASAP, please and thank you :) What percent of 108 is 89?82.4%O 0.66%O 121.3%O 152.4%