Find the equation of a line that passes through the points (1,-2) and (3,-4). Express your final answer in slope-intercept form.

Find The Equation Of A Line That Passes Through The Points (1,-2) And (3,-4). Express Your Final Answer

Answers

Answer 1

[tex]\text{Given that,}\\\\(x_1,y_1) = (1,-2)~~ \text{and}~~ (x_2,y_2) = (3,-4)\\\\\text{Slope,}~ m= \dfrac{y_2-y_1}{x_2 -x_1} = \dfrac{-4+2}{3-1} = -\dfrac 22 = -1\\\\\text{Equation with given points,}\\\\y-y_1 = m(x-x_1)\\\\\implies y +2 = -1(x-1)\\\\\implies y = -x+1 -2\\\\\implies y = -x-1\\\\\text{This is the slope-intercept form(y =mx+b).}[/tex]

Answer 2

Answer:

y=-x-1

Step-by-step explanation:

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

m=(-4-(-2))/(3-1)

m=(-4+2)/2

m=-2/2

m=-1

y-y1=m(x-x1)

y-(-2)=-1(x-1)

y+2=-x+1

y=-x+1-2

y=-x-1


Related Questions

Solve the inequality below for z.
8z+3>3z-17
A.z>-4
B.z<-14/5
C.z<-4
D.z>-14/5

Answers

a.
8z+3 > 3z-17
subtract 3 from both sides
8z > 3z -20
subtract 3z from both sides
5z > -20
divide both sides by 5
z > -4
Answer: z > -4Step-by-step explanation:8z + 3 > 3z - 17=> 8z - 3z > -3 - 17=> 5z > -20=> z > -4Conclusion:

Therefore, the solved inequality is z > -4.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Find the equation, in standard form, of the line parallel to y=-1/5x+7 and passing through the point (-10,-3).
Show work for brainliest!

Answers

ANSWER:

y= -1/5x - 5

Since it is parallel, that means that the slope (-1/5x) is the same.

Since it is passing through the point (-10, 3), substitute the numbers in for x and y which means: -3= -1/5*(-10) + b

b stands for the new y-intercept

do the equation, and you should get the answer above!

help please

No links

Answers

Answer:

62-0.75x8

Step-by-step explanation

$6=discount

8 tickets

Total=62.00

0.75 multiplied by 8= 6

62-6=56

56 is before the discount

Equation would be 62-0.75x8

Can someone please explain step by step on how I subtract fractions like for an a example!
7/8 - 3/8 ?

Answers

Keep the denominators the same and subtract the numerators. So for example in your example:

7/8 - 3/8

Leave the 8 alone. Subtract 3 from 7.

7 - 3 = 4

So answer is:

4/8

Sometimes they may have to simplify the answer, and in this case, 4/8 could be simplified to 1/2

When subtracting fractions with the same denominator (in this case 8) you only have to worry about the numerator (7&3)

ANSWER - 7/8-3/8= 4/8

Now since you can simplify 4/8 you would divide both by 4 and your simplified answer is 1/2.

What is the value of the expression

Answers

Answer:

C. 9

Step-by-step explanation:

K(3)=3*3=9........................

(5x + 3) + (9x + 5)


Help!!!!!!!

Answers

i don’t know if you want it simplified or solved, but i got 14x+8!

A2 + B2
Best answer gets a brainliest and thank and 5 star

Answers

Answer:

a+b)(a-b)

(Step-by-step explanation:

The population of a slowly growing bacterial colony after t hours is given by
p(t) = 4t² + 27t + 150. Find the growth rate after 2 hours.
bacteria/hour
Submit Question

Answers

A function is an expression that defines a relationship between an independent variable and a dependent variable.

The number of bacteria colonies after 2 hours is 220.

What is a function?

It is an expression that defines a relationship between an independent variable and a dependent variable.

We have,

P(t) = 4t² + 27t + 150

Where t = time

P(t) = population of a slowly growing bacteria colony after a particular time

The growth rate after 2 hours:

P(2) = 4 x (2)² + 27 x 2 + 150

P (2) = 16 + 54 + 150

P (2) = 220

Thus the number of bacteria colonies after 2 hours is 220.

Learn more about functions here:

https://brainly.com/question/17440903

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Find the area of the equilateral triangle.

Answers

Answer:

try 6.93 for answer on equilqteral triangle

The mass of a sheet of metal varies jointly with its area and its thickness. A sheet of metal of area 250cm2 and thickness 1mm has a mass of 200g. Find the formula which connects the mass M g, the area A cm2 and the thickness 1mm. Hence find the mass of a piece of metal of area 400 cm2 and thickness 3mm​

Answers

The Formula of the relation is M = 8AT.

The mass of the metal sheet is 960 g.

The expression below shows the variation between the mass of the sheet (M), Area of the Sheet(A), and thickness (T).

Proportionality:

M ∝ AT

Removing the proportionality sign,

M = KAT

Where:

K = constant of proportionality.

make K the subject of the equation:

K = M/KT.................... Equation 1

From the question,

Given:

M = 200 gA = 250 cm²T = 1 mm = 0.1 cm

Susbtitute into equation 1

K = 200/(250×0.1)K = 8 g/cm³

Formula:

M = 8AT................. equation 2

Hence the formula of the relation is M = 8AT

If,

A = 400 cm²T = 3 mm = 0.3

Substitute these values into equation 2

M = 8(400)(0.3)M = 960 g

Hence,  the mass of the metal sheet is 960 g

Learn more about joint variation here: https://brainly.com/question/26047253

Which triangle is a 30°-60°-90° triangle?

Answers

Answer:

-90

Step-by-step explanation:

it's right

Answer:

The first one.

Step-by-step explanation:

I took the quiz and got a 100, hope this helps :))

Solve the inequality 15 ≥ q + 3

Answers

Answer:

[tex]q\le \:12[/tex]

Step-by-step explanation:

Solving

[tex]\mathrm{Switch\:sides}[/tex]  (Not a required step)

[tex]q+3\le \:15[/tex]

[tex]\mathrm{Subtract\:}3\mathrm{\:from\:both\:sides}[/tex]

[tex]q+3-3\le \:15-3\\=q\le \:12[/tex]

[tex]\bold{q\le \:12}[/tex]

Graphing

I thought of a number. This number double is 7 less than 29. What is my number? hurry please

Answers

Answer:

11

Step-by-step explanation:

11*2=22

29-7 =22

Answer:

11

Step-by-step explanation:

Let x be your number

Is means equals

2x = 29-7

2x= 22

2x/2 = 22/2

x =11

Carson bought 50 pounds of rice for his restaurant. He cooked the rice and wanted to evenly divide it into 9 containers to be served later. How many pounds of rice should Carson put in each container?

help plss

Answers

Answer:

Step-by-step explanation: there you go

Suppose that sin a= 15/17 and 90 degrees

Answers

Ok done. Thank to me :>

The sales tax rate is 8% how much money is 8% of $14

Answers

Answer: $1.12

Explanation:




Choose a way to solve.
Write or draw to explain.
2. Greg has Il shirts.
3 have long sleeves.
The rest have short sleeves.
How many short-sleeve
shirts does Greg have?
Help please! Thank you in advance!!

Answers

Answer:

8 short sleeve shirts

Step-by-step explanation:

Subtract the total amount of of shirts by the number of shirts with long sleeves to find your answer.

1. Gavin buys 89 blue pansies and
86 yellow pansies. He will plant the flowers
in 5 rows with an equal number of plants
in each row. Draw a bar model to help you
find how many plants will be in each row,
O
17
Spiral Review

Answers

nose nilo que dise perdoooooooon xd

Prove that
sin 75-sin 15=cos 105+cos 15​

Answers

Answer:

 

Step-by-step explanation

RHS = cos 105° + cos 15°

         = cos (90° + 15°) + cos (90° – 75°)  

         = – sin 15° + sin 75°

         = sin 75° – sin 15°

          = LHS

Answer:

Step-by-step explanation:

sin75-sin15

=sin (90-15)-(-cos (90+15))

=cos 15+cos 105

Assume running consumes 95 cal per mile. If you run 9- minute miles, what is your average power output in watts

Answers

so (95/9)x2x60 Cal used in (1/9)x60 mile run in 2 hr or 120 min
95/9= about 10.5 cal/min
1 cal= 4.2J/S
(10.5 x 4.2)/60= 0.735 watts

The Hayes family and the Rodrigues family use their sprinklers last summer. The water output rate for the Hayes family sprinkler was 15 L per hour. The water Output rate for the Rodriguez family speakers is 30 L per hour.Families used their sprinklers for a combined total of 75 hour result in a total water of output of 1725 L how long was a sprinkler used?

Answers

Answer:

Hayes family: 35 hoursRodrigues family: 40 hours

Step-by-step explanation:

Let x and y represent the usage hours by the Hayes and Rodrigues families, respectively. The problem statement gives us relations that can be used to write equations for volume of use and for total hours.

  15x +30y = 1725 . . . . . total liters of use

  x + y = 75 . . . . . . . . . total hours of use

The second equation lets us write an expression for y:

  y = 75 -x

This can be substituted into the first equation to give ...

  15x +30(75 -x) = 1725

  -15x + 2250 = 1725 . . . . . . simplify

  -15x = -525 . . . . . . . . . . . subtract 2250

  x = 35 . . . . . . . . . . . . . . divide by -15

  y = 75 -35 = 40

The Hayes family used their sprinklers for 35 hours; the Rodrigues family used theirs for 40 hours.

Divide 3/8 divided by 2/3 and express the answer in the simplest terms.

Answers

9/16 should be the answer.

Please help!!!!!!!!!!!!!!

Answers

Answer:

The answer is A.

Step-by-step explanation:

1 plus 2x (276-5y) + 69= A.

A container can hold 2400 litres of water. (a) A large tap alone can fill the container in x hours. Write down an expression, in terms of r, for the amount of water that the large tap can dispense per minute. {b) A small tap alone will take 1 hour longer than the large tap to fill the co tainer. Write down an expression, in terms of x, for the amount of water that the small tap can dispense per minute. (c) When both taps are turned on at the same time, they can fill the container in 3 hours. Form an equation in x and shows that it reduces tox? -5x-3=0. X 20.​

Answers

Answer:

Determine the required value of the missing probability to make the distribution a discrete probability distribution. x p(x) 3 0.23 4 ? 5 0.51 6 0.08 p(4) = nothing  (type an inte...

The amount of money charged to borrow money, expressed as a percentage,
is called the
A. collateral
B. interest rate
O C. principal
D. loan term

Answers

Answer:

Interest rate

Step-by-step explanation:

The amount owed is called the principal and the price of borrowing money is called interest. Some people spend a day's pay (or more) per week repaying the interest and principal owed on car loans, credit card bills, student loans, and other consumer debts.

Raven can walk 2 2/5 miles in 3/5 hour. At this rate, how far can she walk in 1 hour? You might want to change 2 2/5 to an improper fraction in order to make the math easier for you to do.

Answers

The distance traveled by Raven in 1 hour at the given rate is 4.0 miles.

The given parameters:

Distance traveled by Raven = 2 2/5 milesTime of motion, t = 3/5 hour

The speed of Raven motion is calculated as follows;

[tex]V = \frac{Distance}{Time} \\\\V = Distance\ \times \ \frac{1}{Time} \\\\V = 2\frac{2}{5} \ miles \ \ \times \ \ \frac{1}{3/5 \ hr} \\\\V = \frac{12}{5} \ miles \ \ \times \ \ \frac{5}{3 hr} \\\\V = 4 \ mph[/tex]

The distance traveled by Raven in 1 hour at the given rate is calculated as follows;

[tex]D = 4 \times 1\\\\D = 4 \ miles[/tex]

Learn more about rate and distance here: https://brainly.com/question/1090517

Translate this sentence into an equation.
46 is the sum of 20 and Han's savings.
Use the variable h to represent Han's savings. I

Answers

Answer:

20+h = 46

Step-by-step explanation:

it doesn't ask to solve it so that's the answer

Answer :-

[tex]20 + h = 46[/tex]

• 46 is the sum of 20 and Han's savings. .

So here Question tell that 46 is the sum of Han's Saving .

Then it says that to write the equation in this sentence .

• Use the variable h to represent Han's savings.

So 20 and h = 20 + h = 46 .

Hope this helps you !!

pls help me, pls pls plss help​

Answers

Answer:

1. given

2. inscribed circle theorem

3. substitution

4. definition of congruent angles

A projectile is thrown upward so that its distance above the ground after t seconds is h = -156 + 510t. What is its maximum height?​

Answers

For the parabola:

h(t) = -at2 + bt, the maximum occurs at -b/2a

For h(t) = -16t2 + 576t that is -576/(-2)(-16), or -576/32, or 18.

The projectile is at its highest point at 18 seconds.

12. After 80 years of 5.8% interest compounded monthly, an account has $102,393.44. What was the
original deposit amount?

Answers

Answer:

12195508,42

Step-by-step explanation:

A(1-R) NA is the depositR is the % presentN is the time period (exponent)A(1-5.8%)80=102,393.44

An account has $102,393.44 after 80 years of 5.8% compounded monthly interest. The initial deposit was around $991.45.

What is meant by deposit?A deposit is money held at a bank. A deposit is a monetary transaction in which money is transferred to another party for safekeeping.A deposit is money placed in a bank account. Deposits are classified into two types: demand deposits and time deposits. Checking, savings, and money market accounts are all examples of demand deposit accounts. Certificates of deposit (CD) and individual retirement accounts are examples of time deposit accounts.

Therefore,

Assume that each year has 52 weeks: then compounding occurs.

n = 52 × 80n

times and the rate for each compounding is

[tex]$i=\frac{5.8 \%}{52}=\frac{0.058}{52}$[/tex]

If the original deposit amount is

PV

then the future value

FV

is equal to

[tex]$$F V=P V \cdot(1+i)^n=P V \cdot\left(1+\frac{0.058}{52}\right)^{52 \cdot 80}$$[/tex]

We know the future value (which is given as $ 102,393.44), so calculating the present value is simple:

[tex]P V=F \frac{V}{(1+i)^n}=\frac{\$ 102,393.44}{\left(1+\frac{0.058}{52}\right)^{52 \cdot 80}}[/tex]

The simplest way to compute this is to use a calculator:

[tex]$P V \approx \$ 991.45 .$$[/tex]

We can simplify this expression with great precision just for fun. It is well known that

[tex]$\left(1+\frac{1}{n}\right)^n \rightarrow e$[/tex]

which easily implies that

[tex]$\left(1+\frac{a}{n}\right)^n \rightarrow e^a$[/tex]

Here,

[tex]$$\left(1+\frac{0.058}{52}\right)^{52 \cdot 80}=\left(\left(1+\frac{0.058}{52}\right)^{52}\right)^{80} \approx\left(e^{0.058}\right)^{80}=e^{0.058 .80}=e^{4.64}[/tex]

That is, [tex]P V \approx F V e^{-4.64}$.[/tex]

Hence, An account has $102,393.44 after 80 years of 5.8% compounded monthly interest. The initial deposit was around $991.45.

To learn more about deposit, refer to:

https://brainly.com/question/25787382

#SPJ2

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