Write the equation of the line in slope intercept form that passes through the two points: (1,-6) and (-3,2)

Please explain so I can understand this

Answers

Answer 1

Answer:

y = -2x - 4

Step-by-step explanation:

Formula is y = mx + b where m is the slope and b is the y-intercept

(1, -6) (-3, 2)

[tex]\frac{-6-2}{1-(-3)}=\frac{-8}{4} =-2[/tex]

The slope is -2

y = -2x + b

So let's find b, insert 2 for y and -3 for x to find b

2 = -2(-3) + b

2 = 6 + b

Subtract 6 from both sides to get b alone

-4 = b

We found what b equals (the y-intercept), which is -4

So, the equation is y = -2x - 4

Hope this helps and pls do mark me brainliest:)


Related Questions

You and your friend went shopping. You bought 2 hats and 3 pairs of gloves for $28.25. Your friend bought 1 hat and 1 pair of gloves for $12.25. How much did one hat cost? How much did one pair of gloves cost? (Answers should reflect the real world scenario by including appropriate units.)

Answers

Answer:

One pair of gloves costs $3.75.

Step-by-step explanation:

Systems of equations

x=hats y=gloves

2x+3y=28.25  

x+y=12.25

2(12.25-y)+3y=28.25

24.5+y=28.25

y=3.75

Find the value of x. *

Please help

Answers

Answer:

x = 78

Step-by-step explanation:

(x-8) + 20 = 90

x - 8 = 90 - 20

x - 8 = 70

x = 70 + 8

x = 78

Check:

(78-8) + 20 = 90

70 + 20 = 90

A cheesecake recipe says to mix 12 oz of cream cheese with 15 oz of sugar. How many ounces of cream cheese will be needed for 45 oz of sugar?​

Answers

Answer:

1.5

Step-by-step explanation:

it is one and one half, in other words.

Answer:

36 oz of cream cheese

sugar: 45 divided by 15 equals 3

12 times 3 equals 36

Jenny is renting a moving truck. She will have to pay a one-time fee for insurance coverage and pay the daily rate for the truck each day she uses it. The total cost of renting the truck in terms of the number of days the move will take can be modeled by the equation: y = 100x + 85. A. What is the slope? B. What is the y-intercept?

Answers

Answer:

Slope is 100

y-intercept is 85

Step-by-step explanation:

The equation of a straight line can be modeled according to the function;

y = mx + c

where m is the slope and c is the y-intercept

comparing what we have ;

y = 100x + 85 with the standard form ;

Slope will be 100 and y-intercept is 85

What is the slope intercept

Answers

Answer:

rise is 20 and run is 5 so slope is 4.

I think the slope y-intercept is -5

Write an equation for the following data plz :)

Answers

Answer:

y = 4x + 1

Y values increase by 4, X values increase by 1.

M or slope, = 4/1 or 4

Y-intercept is when x = 0

When x = 0 in this case, y = 1.

So,

y = 4x +1

Answer:

y = 4x + 1

Step-by-step explanation:

This is the y = mx + b format, hopefully its useful for you! It's a linear equation because all the values grow at a constant rate.

The y-intercept is 1 and it's rise over run which means that you start at 1 on your y-intercept when graphing and then rise 4 and run 1 to the right because it's a positive slope.

3) A cookie recipe calls for 9 cups of flour for 4
batches of cookies. How many cups of flour
per 1 batch of cookies? How many cups of
flour are needed for 11 batches of cookies?

Answers

Can I have a cookie????



The table shows the approximate population of Virginia for 5 years. If the trend continues, which could
be a reasonable prediction if the population in 2012?

Answers

Answer:

It is C

Step-by-step explanation:

He width of a rectangular postcard is 4 inches and the diagonal is 7.6 inches long. What is the length of the postcard? Round your answer to the nearest hundredth.

Answers

Answer:

Adjacent = x = length = 6.46 inches

Step-by-step explanation:

Given the width and diagonal of a rectangular postcard,

Find the length using Pythagoras theorem

Hypotenuse ² = opposite ² + adjacent ²

Hypotenuse = 7.6 inches

Opposite = 4 inches

Adjacent = x

Hypotenuse ² = opposite ² + adjacent ²

7.6² = 4² + x²

57.76 = 16 + x²

subtract 16 from both sides

57.76 - 16 = x²

41.76 = x²

Find the square root of both sides

x = √ 41.76

= 6.46

x = 6.46 inches

Adjacent = x = length = 6.46 inches

Help me pleade help me​

Answers

The answer is C.

For a relation to be a function every x-value must be associated with one y-value. C has the x-value of 1 have two separate y-values. The others do not have an x-value that repeats.

Use a single digit times a power of 10 to estimate the number 0.00002149
please help :(

Answers

Answer:

2.149 × 10-5

Step-by-step explanation:

The graph of a function f is shown below.
Find f(-2).

Answers

Answer:

-4

Step-by-step explanation:

The value of the function evaluated at [tex]x = -2[/tex] is -4.

The horizontal axis represents the set of the domain of the function, whereas the vertical axis is for the set of the range of the function. In this exercise, we need to need to find the value on the vertical axis that corresponds with a given value of the horizontal axis ([tex]x = -2[/tex]).

By direct inspection, we conclude that [tex]f(-2) = -4[/tex].

We kindly invite you to see this problem related to functions: https://brainly.com/question/12431044

y + 4 + 2x + 3y

can someone simplify it

Answers

Answer:

2x+4y+4

Step-by-step explanation:

Answer:

y×(1+3)+2×(2+x)

Step-by-step explanation:

y(1+3)+2x+4

2(x+2)

The parabola with equation $y=ax^2+bx+c$ is graphed below:

(attached)

The zeros of the quadratic $ax^2 + bx + c$ are at $x=m$ and $x=n$, where $m>n$. What is $m-n$?

Answers

Answer:

[tex]m-n=2[/tex]

Step-by-step explanation:

Instead of using the standard form, we can use the vertex form of a quadratic equation:

[tex]f(x)=a(x-h)^2+k[/tex]

Where a is the leading coefficient, and (h, k) is our vertex.

Our vertex point is at (2, -4). So, let’s substitute 2 for h and -4 for k:

[tex]f(x)=a(x-2)^2-4[/tex]

Now, we need to determine a.

We know that it passes through the point (4, 12). So, when x is 4, y must be 12. In other words:

[tex]12=a((4)-2)^2-4[/tex]

Solve for a. Subtract within the parentheses:

[tex]12=a(2)^2-4[/tex]

Add 4 to both sides:

[tex]16=a(2)^2[/tex]

Square:

[tex]16=4a[/tex]

Solve:

[tex]a=4[/tex]

Thererfore, the value of a is 4.

So, our function is:

[tex]f(x)=4(x-2)^2-4[/tex]

Now, let’s find our roots. Set the equation to 0 and solve for x:

[tex]0=4(x-2)^2-4[/tex]

[tex]4=4(x-2)^2\\1=(x-2)^2\\x-2=\pm1 \\ x=2\pm1 \\ x=3\text{ or } 1[/tex]

So, our roots are 1 and 3.

The greater root is 3 and the lesser root is 1.

Therefore, m-n, where m>n, is 3-1 or 2.

Our final answer is 2.

Answer:

2

Step-by-step explanation:

Source: AOPS

What is the domain of the following function? Show work
f(x)=(2x-1)/((2x^2)-9x+10)

Answers

Step-by-step explanation:

f ( X) = ( 2X - I ) / 2X ^ 2 - 9X + 10

= 2X-1 ) /( 2X- 5 ) ( x - 2 )

set of zeros of denominator are :

2X- 5 . = 0

X= 5/2

or

X-2=0

X=2

set of zeros of denominator = { 5/2 ,2 }

domain = R - { 5/2,2 }

Jill aunt got her a $50 gift card to her favorite boutique she has already picked out 4 shirts that cost $8.00 each how many pairs of shorts can she buy if shorts cost $10 a pair?

Answers

Answer:

1

Step-by-step explanation:

If she has four $8 shirts, that costs $32, leaving her with $18 dollars, only enough for 1 pair of $10 shorts

2(2x+2)=7x+2-3x+2
solve

Answers

Answer:

All real numbers make this answer true: so x= all real numbers

Step-by-step explanation:

y+c=14........ solve for y

Answers

Answer:

7+7=14

Step-by-step explanation:

there is no times in it it's just addition so there for you just need to find what adds up to 14

Answer:

y=14-c

this question is weird

Mr. Wilson divided his money between Dennis and Margaret in the ratio 4:2.
Margaret got the smaller amount of $1256. How much did Dennis receive?

Answers

Answer:

$2512.00

Step-by-step explanation:

if Margaret is = to 2 then Dennis = 4

if Margaret got the smaller amount of $1256 and 2 is multiplied to by 2 to get 4. then all you have to do is multiply Margret's amount by two and then you will get Dennis's amount.

hope this helps

love E

Find the component form of the vector that represents the velocity of an airplane at the instant its wheels leave the ground, if the plane is going 75 miles per hour and the body of the plane makes an9° angle with the horizontal.

Answers

Answer:

The component form of the vector that represents the velocity of the airplane is [tex](74.1 i , \ 11.73j)\ mph[/tex]

Step-by-step explanation:

Given;

velocity of the airplane, v = 75 mph

direction of the plane, θ = 9°

The vertical component of the velocity is given by;

[tex]V_y = vsin\theta\\\\V_y = (75)(sin \ 9^0)\\\\V_y = 11.73 \ mph[/tex]

The horizontal component of the velocity is given by;

[tex]V_x = vcos \theta\\\\V_x = (75)(cos9^0)\\\\V_x = 74.1 \ mph[/tex]

Therefore, the component form of the vector that represents the velocity of the airplane is given as;

[tex](V_x , \ V_y) = (74.1 , \ 11.73)\ mph[/tex]

5. Jordan works at the car wash a few hours a week and works mowing lawns for extra money.
Because of his schoolwork, he can't work more than 10 hours per week. Write a rule to see possible
solutions for his work schedule. Let x represent hours at the car wash, and y represent the hours
mowing lawns.

Answers

Answer:

The rule is

x + y ≤ 10

Step-by-step explanation:

Here, we want to write a rule that can help get solutions for the individual work hours

The number of hours for car wash is x while the number of hours for mowing lawns is y

Since he cannot work more than 10 hours, he can still work less than 10 hours

What we just have is that the addition of both working hours must not be over 10

So the rule to write is;

x + y ≤ 10

Help please for math

Answers

Answer:

1 5/8 feet/year

Step-by-step explanation:

Height tree grew in 10 years

= 36 3/4-20 1/2

= 16 1/4 feet

Rate tree grew in a year

= 16 1/4÷10

= 1 5/8 feet/year

1 5/8
It’s what they said and I needed some extra points, if this didn’t satisfy you here is a pic of my kitty cat!

I will give Brainlyest to the person who is first




After the temperature rose 9', the thermometer read 37°F
What is an equation that can be used to find x, the temperature before the gº increase
Drag the number, symbol, or operation sign to each box to complete the equation or symbol to

Answers

Answer:

37-9=28

Step-by-step explanation:

it was 28 F then rose 9 which is 37 so 37-9 =28

The  equation is  37 - 9= x.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

After the temperature rose 9°F, the thermometer read 37°F.

let  x be the temperature before the 9º increase.

So, 37 - 9= x

x= 28°F.

Hence, the equation is  37 - 9= x.

Learn more about equation here:

https://brainly.com/question/10413253

#SPJ5

suppose an elevator starts at the top floor of a high rise building at a height of 500 feet above the ground floor and descends without stopping at a rate of 17 seconds
Write a function that describes the height, h of the elevator after t seconds in function form

Answers

Answer:

answer is in the picture

Step-by-step explanation:

hope this helps

HELP PLZ. ASAP I need an answer.

Answers

Answer:

6.5

Step-by-step explanation:

You can see that the total Coast change from Month 0 to Month 2 by 13$ (35-22= 13). Since these are two month we need to divide them by 2 (13/2= 6.5)

6.5 is the total rate of change per months

Please solve, need help quick

Answers

Answer:

In my thought it's angle L

Step-by-step explanation:

Hope it's will help you.

Answer:

it's angle l ..................

3/13% of a quantity is equal to what fraction of the​ quantity?

Answers

Answer: 3/1300

Sorry I’m late !!

Rewrite the function by completing the square
f(x)=x^2-14x+63

Answers

Answer:

f(x) = (x - 7)² - 14

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Algebra I

Standard Form: ax² + bx + c = 0Vertex Form: f(x) = a(bx - c)² + dCompleting the Square: (b/2)²

Step-by-step explanation:

Step 1: Define

f(x) = x² - 14x + 63

Step 2: Rewrite

Separate:                              f(x) = (x² - 14x) + 63Complete the Square:         f(x) = (x² - 14x + 49) + 63 - 49Simplify:                                f(x) = (x - 7)² - 14

Answer:

-7 and 14 on khan

Explain why the exponents cannot be added in the product 12^3 x 11^3?? I need a simple answer that won’t be confusing pls.

Answers

Answer:

The bases aren't the same

Step-by-step explanation:

If the bases are the same, then their exponents are added. In this case, since the exponents are the same, then 12^3*11^3=(12*11)^3=132^3=2299968

#30 PLEASE HELP!! DUE SOON :(

Answers

Answer:

Step-by-step explanation:

Use this to help; starting out, this is coordinate plain, NOT TO SCALE.

Use the coordinates to figure out midpoints. If you don't know how to, look up the calculation method for it.

Sorry I couldn't help out more, gotta get back to essay.

Other Questions
Read this excerpt from Holes.Because of the baseball schedule, Stanleys trial was delayed several months. His parents couldnt afford a lawyer. You dont need a lawyer, his mother had said. Just tell the truth.Stanley told the truth, but perhaps it would have been better if he had lied a little. He could have said he found the shoes in the street. No one believed they fell from the sky.Based on this flashback, how does Stanley feel about what happened in the past?O.He thinks that the shoes were a gift from God.O.He thinks that destiny brought the shoes to him.O.He thinks that the truth was too unbelievable.O.He thinks that he should have had a lawyer. Qu es El Sistema Nacional de Orquestas de Venezuela?It's a program that teaches low-income children how to play musical instruments.It's a program designed for children with motor, hearing, and visual deficiencies.It's an expensive program that teaches how to play musical instruments. A. transformation the following active voice into passive voice1. allan loves alma very much 2.the carpenters built that mansion 3. myra is writing a heartwarming word at guaranteed for mel4. rusty takes care of the puppies 5. the little gay plays her bed ball Which of an atom's electrons are inrolved in chemical reactions? For which two reasons do you think the director may have added the bath scene to the film version of Pygmalion? animism Essay plzzzzzzzz Attempting to improve mobility for paralyzed people is an example of which of the following?a. a hypothesis b. applied researchc. basic researchd. the scientific method What is the slope of the line that passes through the points (3,5) and (6, 10)?A. Y= 573B. Y= -5/3C. Y= 3/5D.Y= -3/5 Use "Conformity" and "Funny in Farsi" to answer questions 10-12. Then fill inthe answers on your answer document.10. What is one similarity between the endings of the two texts?F. Both end with an anecdote about how they were helped.G. Both affirm that ideas in the text have been proven by previous experience.H. Both demonstrate that all people must eventually conform.J. Both end with proof that all people are expected to conform. What is a sentence pattern Which of the following is NOT a goal of The Sixth Environment Action Programme of the European Community? Answers:protection of marine lifereduce air pollutionprotection of natural resourcesreduce the use of harmful pesticidesdecrease recyclingnone of these Equipment costing $17,500 with an estimated salvage value of $1,180 and an estimated life of 4 years was purchased on October 31, 2019. Using the straight-line depreciation method, what is the amount of depreciation expense to be recorded at December 31, 2019? EARTH SPACE SCIENCE.I NEED HELP ASAP DUE TODAY. PLEASE 20 POINTSUsing the topographic map above, match the description to the letter that it represents.Highest point on the map- [ Select ]Stream flowing to the East- [ Select ]Letter near the steepest slope- [ Select ]Letter near the flattest area- [ Select ]Stream flowing to the North- F Kyle wants to buy a new laptop that has an original price of $540. The store is having a sale, so the laptop is 10 percent off, which amounts to a discount of $54. If sales tax is 8 percent on the final price of the laptop, how much tax will he need to pay?$38.88$43.20$47.52$48.60 Find the absolute change and the relative change of the number of refugees in the world that increased from 8.7 million in 2005 to 16.1 million in 2015 on percentage. im so confused, can someone explain this to me? i suck at math Mr. Neiland bought 12 tickets to a chili supper and spent a total of $60. He bought a combination of adult tickets for $10 each and child tickets $7 each. Which system of equations below will determine the number of child tickets, and the number of adult tickets, a, he bought? Hannah filled her car at the gas station. Shebought 48.3 L, and her bill was $37.43.What was the price of the gasoline, in centsper litre ? Help ASAP!If you were asked to give tips in coping with stress, what will they be? Suppose that an elementary school starts a recycling program. After one year, the school hasreduced its trash from 144,000 pounds per year to 122,400 pounds per year. Find the percentdecrease in the amount of trash.