What is the equation of a line (in standard form) that passes through point A(1,-4) and has a slope of 3/4?

Answers

Answer 1

Answer:

3x-4y=19

Step-by-step explanation:

Hi there!

We want to write the equation of the line in standard form that passes through the point (1, -4) and has the slope of 3/4

Standard form is written as ax+by=c, where a, b, and c are free integer coefficients, but a and b cannot be 0, and a cannot be negative

First, in order to find ax+by=c, we'll need to get slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept

Since we already know the slope (3/4), we can substitute it into the formula for y=mx+b.

y=3/4x+b

Now we need to solve for b

Since the equation passes through the point (1, -4), we can use it to solve for b

Substitute 1 as x and -4 as y.

-4=3/4(1)+b

Multiply

-4=3/4+b

Subtract 3/4 from both sides

-19/4=b

Now substitute -19/4 as b into the equation

y=3/4x-19/4

Now we have the equation in slope-intercept form, but remember, we want it in standard form

Since x and y are on the same side in standard form, subtract 3/4x from both sides

-3/4x+y=-19/4

Remember that a cannot be negative, and the coefficients are integers (they cannot be fractions)

So in order to clear the fractions and change the sign of the equation, multiply both sides by -4

-4(-3/4x+y)=-4(-19/4)

Multiply

3x-4y=19

Hope this helps!


Related Questions

if a woman sells bitcoins for £42000 which is 12%more than she originally bought them for then calculate the original value of her bitcoins

Answers

164-73=18%
136-284=37
136%

Can some one please help me please

Answers

Answer:

j(10) (÷} =÷9

so let's check 89÷9= 9

5-(-5) please i need a answer ASAP

Answers

Answer:

10.

Step-by-step explanation:

If you're subtraction a negative number, you are basically adding a positive number. 5-(-5) = 5+5.

Hey there!

GUIDE:

2 negatives = positive

2 positives = positive

1 negative & 1 positive = negative

1 positive & 1 negative = negative

Negatives are BELOW 0 and they are to the LEFT of 0

Positives are ABOVE 0 and they are to the RIGHT of 0

ANSWERING the QUESTION

5 - (-5)

= 5 + 5

= 10

Therefore, your answer is: 10

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Find the value of x. Th angles on a triangle .Please explain your method.

Answers

Solving:

The internal values of all triangles are worth 180°, so knowing this, just form a 1st degree equation to respond, remembering that the value 180°, will stay after the equal sign of the equation.

A)[tex]\sf x+125^{\circ}+80^{\circ}=180\\\\\\\sf x+205=180\\\\\\\sf x=180-205\\\\\\\boxed{\sf x=-25^{\circ}}[/tex]B)[tex]\sf x+68^{\circ}+318^{\circ}=180\\\\\\\sf x+386=180\\\\\\\sf x=180-386\\\\\\\boxed{\sf x=-206^{\circ}}[/tex]Okay?!

At Abdul’s Swimwear, 85% of the 60 swimsuit styles are bikinis. How many bikini styles are there?

Answers

51 bikini styles
because if u find 85% of 60 it’s 51

Profit of ₹50 Height of 60 cm above the sea 50 km towards south Deposit of ₹1,000 30 m below the sea level A rise in temperature by 15° C​

Answers

Answer:

1. Loss ₹50

2. - 60

3. 50 km towards North

4. 1000

5. - 30

6. - 15° C

Match the Vocab Word to the definition.

Remember, you are allowed to use your notes to help you!
Question 1 options:

Multiply a sum by multiplying each addend separately and then adding the products.
∙a(b + c) = ab + ac
∙k(m – n) = km - kn

Part of an expression that is added or subtracted.
∙These can be a single number or a variable, or
numbers and variables multiplied together.

A letter or symbol that represents a value.

It's a number on its own, it has a fixed value.

The number in front of a variable.

1.

Distributive Property
2.

Term
3.

Variable
4.

Constant
5.

Coefficient

Answers

Distributive property, multiply a sum by multiplying each added separately and then adding the products a(b+c)=ab+ac k(m-n)=km-kn

Term, Part of an expression that is added or subtracted. These can be a single number, variable, or numbers and variables multiplied together.

Variable, A letter or symbol that represents a value.

Constant, It’s a number kn it’s own, but it has a fixed value.

Coefficient, the number in front of a variable.


Hope this helped!!

Jerome hikes down a mountain for 3 hours. During this time, he hikes a total distance of 2 ½ miles. How long does it take Jerome to walk 1 mile?

Answers

Answer:

5/6

Step-by-step explanation:

3 hours= 2 1/2 miles

1 hour= 2 1/2 divided by 3

It would take him 5/6 of an hour

Hop this helps!

write 28 + 24 as a product of two factors using the greatest common factor and the distributive property

Answers

Answer:

4 * 13

Step-by-step explanation:

Okay, so we have to use the distributive property to solve this. We know 28 and 24 have a common factor of 4. If we factor a 4 out of 28 + 24, then we get 4 * (7 + 6). Adding 7 + 6, we get 13. Therefore, we get 4 * 13.

jamie made 40 cupcake she frosted 1/2 of the cupcakes . of th frosted cupcake she put sprinkies on 1/5 of them , she ate 1/4 of the frosted cupcakes that had sprinkle

Answers

Jamie would’ve ate 1 frosted, sprinkled cupcake.

Explanation:

40 • 1/2= 20

20 • 1/5 = 4

1/4 • 4 = 1

3. Given: DE is a midsegment of AABC. Show all work.
a. Find the value of x and y.
b. What is the length of AC?

Answers

Answer:

x = 10

y = 1

DE = 7

AC = 14

Step-by-step explanation:

x + 2 = 24/2

x = 12 - 2

x = 10

y + 6 = x - 3

y = 10 - 3 - 6

y = 1

Paul wanted to bring his family to the Children’s Museum. There was an exhibit with carnival rides. The tickets for each ride were $1.35 per ticket. Paul purchased 30 tickets for the rides and spent a total of $46.85 at the museum. Paul spent his money only on ride tickets and admission. The price of the museum admission is the same for everyone. (a) Define your variables. (b) Write a linear equation that can be used to determine the cost for anyone who only pays for tickets and museum admission. Use y to represent the total cost and x to represent the number of ride tickets. (c) Explain your answer to Part 1b.




Do NOT say you don't know, include files, or anything else. I need real answers not people faking answers to get points.

Answers

We want to define and solve a linear equation to model the given case.

The answers are:

a) x = number of tickets, y = total cost.

b) y = $1.35*x + $6.35

We know that:

The tickets for each ride were $1.35 per ticket.

Paul purchased 30 tickets

He spent a total of $46.85 (on tickets and admission)

The cost for the 30 tickets is:

30*$1.35 = $40.50

a) Now we can define two variables:

y = total cost

x = number of tickets

b) the linear equation would be:

y = $1.35*x + P

Where P is the price of admission.

And we know that the total cost for 30 tickets is $46.85, then we have:

$46.85 = $40.50 + P

$46.85 - $40.50 = P = $6.35

So the admission price is $6.35

This means that the linear equation is:

y = $1.35*x + $6.35

c) Brief explanation, we have the variable y that represents the total cost, it is equal to the admission price (which we found) plus $1.35 times the number of tickets bought (x).

If you want to learn more, you can read:

https://brainly.com/question/13738061

A triangle has sides with lengths of 16 meters, 7 meters, and 12 meters. Is it a right triangle?

Answers

No because all the sides don’t add up to 90 degrees

What is 9% as a fraction or mixed number in simplest form?

Answers

Answer:

9/100

Step-by-step explanation:

9×100 = 9/100 I think

A phone company charges $25.00 a month for 500 minutes.
Every minute over 500 cost $0.75. If a customer uses 530
minutes how much will their monthly bill amount to?

Answers

Answer:

$47.50

Step-by-step explanation:

75 times 30 is 2,250, so then we put back the decimal and its 22.50, add that to 25.00, your answer is 47.50

What is the slope of this line?

−15

15

5

−5
Number graph ranging from negative 5 to 5 on both the x and y axis. A line passes through the point begin ordered pair 0 comma 2 end ordered pair and the point begin ordered pair 5 comma 3 end ordered pair

Answers

Step-by-step explanation:

if I understand your text right, we are looking at the line going through the points (0, 2) and (5, 3).

the slope is in a line equation always the factor of x.

anyway, it is expressed as ratio y/x indicating how many units y changes, when x changes a certain amount of units when going from one point on the line to another.

so, we are simply going from (0, 2) to (5, 3).

x changes by +5 (from 0 to 5).

y changes by +1 (from 2 to 3).

so, the slope is y/x = 1/5.

Answer:

B. [tex]\frac{1}{5}[/tex]

Step-by-step explanation:

describe fully the single transformation that maps triangle A onto triangle B.

Answers

The transformation is a reflection on the line y = 0 (or the x axis).

Hope this helps!

Solve for x
9(x + 5) = -9

Answers

Answer:

x = -6

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

9(x+5)=−9

(9)(x)+(9)(5)=−9(Distribute)

Step 2: Subtract 45 from both sides.

Step 3: Divide both sides by 9.

Hello there! :)

9(x+5)=-9

Use the Distributive Property:

9(x+5)=-9

9x+45=-9

9x=-9-45

9x=-54

Divide both sides by 9:

x=-6

Hope it helps you! :) Feel free to ask me if you have any questions.

~A smiley teen who adores helping others

[tex]MagicalNature[/tex]

A car moving at a constant speed passed a timing device at t = 0. After 6 ​seconds, the car has traveled 534 ft. Write a linear function rule to model the distance in feet d the car has traveled any number of seconds t after passing the timing device.

Answers

Answer:

d = 89t

Step-by-step explanation:

d = distance --- t = timing device --- x = speed or feet per x

d = tx

linear equation from this (SOLVE) --> 534 = 6x ---> 89 = x

linear equation --> d = 89t

Answer:

[tex]f(x)=89x[/tex]

Step-by-step explanation:

With the given information, you have 2 points.

1. (0, 0)

2. (6, 534)

With 2 points, you can calculate the slope of the linear function.

[tex]m=\frac{y2-y1}{x2-x1} \\m=\frac{534-0}{6-0} \\m=\frac{534}{6} \\m=89[/tex]

Finally, you can write a function:

[tex]f(x)=mx+b[/tex]

No need to calculate the y-intercept as thats already given in point (0, 0).

[tex]f(x)=89x+0\\f(x)=89x[/tex]

Find the distance between the points

a. 4
b. 5
c. 6
d. 7

Answers

Answer:

b. 5

Step-by-step explanation:

Answer: 5
You can use the points to draw a triangle with a length of 3 and a height of 4

We can now use Pythagoras theory: a squared + b squared = c squared:
3 squared + 4 squared = 9 + 16 which is 25. The square root of 25 is 5.

Hope this helps!

Bus A and Bus B leave the bus depot at 9 am.
Bus A takes 30 minutes to complete its route once and bus B takes 40 minutes to complete its route once.
If both buses continue to repeat their route, at what time will they be back at the bus depot together?
Assume the buses have no breaks in between routes.
Give your answer as a 12-hour clock time.


Please help x

Answers

Answer:

SteThe difference between climate change mitigation strategies and climate change adaptation is that mitigation is aimed at tackling the causes and minimising the possible impacts of climate change, whereas adaptation looks at how to reduce the negative effects it has and how to take advantage of any opportunities thap-by-step explanation:

What is the slope of the graph?

Answers

The slope is -1
Hope you get this
No Mistakes

Given that 7:3 = m:12 what is the value of m? POSSIBLE ANSWERS a) 8 b) 10 c) 16 d) 28 ​

Answers

Answer:

option d

Step-by-step explanation:

7:3 is the same as 28:12 which means that m is 28

10.
Peter is 1.64 metres tall.
Peter is 18 centimetres taller than Nick.
San
Work out Nick's height in metres.

Answers

Answer:

the height of nick is 1.46

Step-by-step explanation:

because to change cm into m we need to divide it by 100so 18/100is 0.18

and total height of Peter is 1.64 so if we -the 0.18then we can get nick's height

Answer:

1.46

Step-by-step explanation:

1.64 to cm is 164

164-18 = 146

146 to meters is 1.46

What is 1/16 divided by 3

Answers

Hello angeltomlin!

[tex]\mathfrak{\frac { \frac { 1 } { 16 } } { 3 }}\\ = \mathfrak{\frac{1}{16\times 3}} \\ = \boxed{\mathfrak{\frac{1}{48} \approx 0.0208}}[/tex]

Steps :

Our question is 1/16/3.To do this, at first, we need to bring 16 to the denominator along with 3.1/16 × 3 = 1/48So, our answer is 1/48 which is aproximately equal to 0.0208.

Refer to the attached picture if the steps are not clear.

____________

Lucazz

Una compañía de frutas entrega sus frutas en dos tipos de caja: grande y pequeña. Una entrega de 3 cajas grandes y 5 cajas pequeñas tiene un peso total de 112 kilogramos. Una entrega de 6 cajas grandes y 2 cajas pequeñas tiene un peso total de 118 kilogramos. ¿Cuánto pesa cada tipo de caja?

Answers

Usando un sistema de ecuaciones, se encuentra que:

Cada caja grande pesa 15.25 kg.Cada caja pequeña pesa 13.25 kg.

Para el sistema, considera-se que:

x es el peso de una caja grande.y is el peso de una caja pequeña.

Una entrega de 3 cajas grandes y 5 cajas pequeñas tiene un peso total de 112 kilogramos, o ea:

[tex]3x + 5y = 112[/tex]

Una entrega de 6 cajas grandes y 2 cajas pequeñas tiene un peso total de 118 kilogramos, o sea:

[tex]6x + 2y = 118[/tex]

Simplificando por 2 :

[tex]3x + y = 59 \rightarrow y = 59 - 3x[/tex]

Reemplazando en la primera ecuación:

[tex]3x + 5y = 112[/tex]

[tex]3x + 5(59 - 3x) = 112[/tex]

[tex]3x + 295 - 15x = 112[/tex]

[tex]12x = 183[/tex]

[tex]x = \frac{183}{12}[/tex]

[tex]x = 15.25[/tex]

[tex]y = 59 - 3x = 59 - 3(15.25) = 13.25[/tex]

Cada caja grande pesa 15.25 kg.Cada caja pequeña pesa 13.25 kg.

Un problema similar es dado en https://brainly.com/question/24646137

I need to know the answer to this question

Answers

LIE

TRUTH

TRUTH

THE DETAILED ANSWER IS IN THE IMAGE ATTACHED.

HOPE IT HELPS YOU......

PLEASE MARK AS BRAINLLIEST!!!

Does anyone get this?

Answers

Dilation is the transformation that changes the size of a shape.

4 is a positive number so the shape will increase in size.

So after dilating every side by 4:

0,1

-0.5,0

1,0

We get

0,4

-2,0

4,0

Jamie went on a vacation with his family. He spent 32.25% of the total cost on the airline tickets, of the total cost on hotels, and 12.75% of the total cost on food. If he spent of the remaining amount on shopping, what percentage of the total cost was spent on shopping?

Answers

Answer:

In my opinion he spent 55%

The Jayden family eats at a restaurant that is having a 15% discount promotion. Their meal costs $78.50 before the discount, and they leave a 20% tip. If the tip applies to the cost of the meal before the discount, what is the total cost of the meal? Round your intermediate calculations and answer to the nearest cent.

Answers

Answer; $94.20

Explanation;
Find 20% of $78.50
If 20%=$15.70

Add both values;
$94.20
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