Write the equation of the line which passes through (1, 2) and with slope of −1/3
in standard form.

Answers

Answer 1

Answer:

         x + 3y = 7            

Step-by-step explanation:

The equation of a line which passes through (x₁, y₁) and with slope of m in point-slope form:

                                y - y₁ = m(x - x₁)

m = -¹/₃

(1, 2)    ⇒   x₁ = 1,  y₁ = 2

Therefore,  the equation of the line which passes through (1, 2) and with slope of −1/3 in point-slope form:

y - 2 = -¹/₃(x - 1)

y - 2 = -¹/₃x + ¹/₃                     {add ¹/₃x to both sides}

¹/₃x + y - 2 = ¹/₃                     {add 2 to both sides}

¹/₃x + y = 2¹/₃                       {multiply both sides by 3}

x + 3y = 7            


Related Questions

Tickets for an all-you-can-eat pancake breakfast cost $15 each. Which equation shows the relationship between c, the total cost of the breakfast tickets and t, the number of breakfast tickets bought?

Answers

Answer:

c = 15t

Step-by-step explanation:

Given that:

Unit cost of Ticket = $15

Total cost = unit cost * number of tickets purchased

Total cost = c

Number of tickets purchased = t

C = $15 * t

c = 15t

Simon has 3 pets. Altogether, the 3 pets have 8 legs. Each of the pets is either a bird or a dog. How many birds and how many dogs does Simon have?

Answers

Answer:

1 dog, 2 birds

Step-by-step explanation:

Birds have two legs. 2x2=4

Dogs have 4 legs. 4x1=4

4+4=8

Solve and simplify 5-5x5+5=

Answers

Answer:

−15

Step-by-step explanation:

−15

Answer:

-15

Step-by-step explanation:

5-5*5+5=5-25+5=-20+5=-15

plz help me with this :(

Answers

Answer:

40 degrees

Step-by-step explanation:

the angles are set

Answer:

I wanna say the answer is 40.

Step-by-step explanation:

Because the line going through will most likely make the same degree on the other side.

Hope this helps.

Paolo missed 3 out of 15 questions on a quiz, or 3/15. Write the fraction of questions paolo answered correctly as a decimal explain

Answers

Answer:

The decimal would be 0.2 or in percentages, 20/100.

Step-by-step explanation:

1
Given f (x) = 3x and g(x) =
x + 3
Which value is in the domain of fo
fºg?
Click on the correct answer.
-7
3

Answers

Answer:

x = 8

Step-by-step explanation:

f(x) = [tex]\sqrt{3x}[/tex]

g(x) = [tex]\frac{1}{x+3}[/tex]

(f o g)(x) = f[g(x)]

             = [tex]\sqrt{\frac{3}{x+3} }[/tex]

This function is defined for (x + 3) > 0

(x + 3) - 3 > 0 - 3

x > -3

From the given options x = 8 is the only solution which is greater than -3.

Therefore, x - 8 is in the domain of the given function.

Number m less than 5

Answers

Answer:

....

Step-by-step explanation:

Answer: 1, 2, 3, 4.

Step-by-step explanation: When you count to five, the numbers that are listed above, (1, 2, 3, 4) are the right answers

Which one is it? please be honest.

Answers

Answer:

Step-by-step explanation:

it’s b!!!! I solved it and got b for my anwser hoped this helped


HELP WILL MARK BRAINLIEST

Answers

Answer:

B

Step-by-step explanation:

plsss help i’ll give brainliest if you give a correct answer

Answers

Answer: x = 7

Explanation:

Subtract 8 from both sides to isolate x.

x + 8 = 15

x + 8 -8 = 15 - 8

x = 15 - 8

x = 7

Answer:

X=7

Step-by-step explanation:

have a good day /night

Andrew salary is 4,250.00 per month plus a commission of 5%of his monthly sales.Andrew sales this month are 10,250.00. What is his total income for thins month?

Answers

Answer:

Andrew's total income for this month is $4762.5.

Step-by-step explanation:

With the information provided, you can find the total income by calculating 5% of the sales this month and adding up this amount to his monthly salary:

sales=10,250

monthly salary=4,250

10,250*5%=512.5

4,250+512.5=4,762.5

According to this, the answer is that Andrew's total income for this month is $4,762.5.

1. Side lengths of 15, 36 and ______ would form a right triangle. *
1 point
40
39
38
51

Answers

Step-by-step explanation:

the lebgth to form the right angle is e9

HELP PLEASE! THIS IS A WORD PROBLEM 30 POINTS!!!!!

Today Jessica and Melissa are having a birthday. Both girls are at least 9 years old but not older then 16. If Melissa is 2 years older than Jessica, how old can they be? Show your work. Best response gets brainless. It can also be fastest response just show an equation.​

Answers

Step-by-step explanation:

anywhere from 9 and 11 to 14 and 16.... I feel like there is something missing in the question

-4/13 divided by 20/-39​

Answers

Answer:

I don't know sowwy :c

Step-by-step explanation:

Fill in the blank.

|-1.54| = ____

Answers

Answer:

1.54

Step-by-step explanation:

The absolute value function always gives a positive result, that is

| - a | = | a | = a , then

| - 1.54 | = 1.54

1.54

This is because the absolute value is always positive

Graph y > x^2 - 3.

Click on the graph until the correct graph appears.

Answers

Answer: The first one

Answer:

The first one

Look at question....

Answers

The answer is (2,6)

Choose the solution to this inequality. 43<−83y

Answers

Answer:

y< −43 /83

but if you want a decimal  

-0.518072

Step-by-step explanation:

Answer: A

Step-by-step explanation: this is the correct answer

A car salesman makes 14.5% commission on his sales. If he sells a car for $45,000, how much will he make in commission?

Answers

Answer:

23

Step-by-step explanation:

Divide 24x^3+2x^2−20x−6 by 4x+3.

Answers

6x^2-4x-2

Step-by-step explanation: sorry i wrote it messy

/....

Answer:

6x+1+−7x-14x2−3x+5

What is 896 divided 4

Answers

Answer: 224

Step-by-step explanation:

Answer:

224

Step-by-step explanation:

i did it myself

Can someone help me plz

Answers

Answer:56.55

Step-by-step explanation:

[tex] \bf \underline{ \underline {Given}}[/tex]

Radius = 9 cm

[tex] \bf \underline{ \underline{To \: find \: out }}[/tex]

Find the circumference of given circle.

[tex] \bf \underline{ \underline{Formula \: used}}[/tex]

[tex] \sf \: Circumference \: of \: circle = 2 \pi \: r [/tex]

[tex] = 2 \times \dfrac{22}{7} \times 9[/tex]

[tex] = \dfrac{44}{7} \times 9[/tex]

[tex] = \dfrac{396}{7} [/tex]

[tex] = 56.57 \: cm[/tex]

Drag the symbol to complete the solution to this inequality.

Answers

Answer:

b po

i hope makatulong eto

pls help me i need it to move on i did so many i cant figure it out.

Answers

Answer:

B. Between 200 and 400

Step-by-step explanation:

Rule of exponents means that you can subtract when they are divided

-5+7=2

7.8*10^2/3.1

Simplify

780/3.1= 251.612903

in need of help please n thank you:(

Answers

Answer:

244

Step-by-step explanation:

you plug those numbers

s= 3

t= 2

2(3+2)^3-6

= 244

A deep sea diver started at sea level (0 feet) and dove at a rate of 5.6 feet per minute. If the diver dove for ½ hour, what rational number represents his position relative to sea level? Show your work. A. 168 feet B. 2.8 feet C. -2.8 feet D. -168 feet

Answers

Given:

A deep sea diver started at sea level (0 feet).

Rate of diving = 5.6 feet per minute.

Time = [tex]\dfrac{1}{2}[/tex] hour

To find:

The rational number that represents his position relative to sea level.

Solution:

We know that,

1 hour = 60 minutes

[tex]\dfrac{1}{2}[/tex] hour = 30 minutes

A deep sea diver, dove at a rate of 5.6 feet per minute.

Distance covered in 1 minute = 5.6 feet

Distance covered in 30 minute = 30 × 5.6 feet

                                                    = 168 feet

The diver dove 168 feet in [tex]\dfrac{1}{2}[/tex] hour. Since it is below the sea level, therefore it should be negative.

So, the rational number that represents his position relative to sea level is [tex]-168[/tex] feet.

Therefore, the correct option is D.

I need the answer for real fast. Question below

A square has a perimeter of 12x + 52 units. Which expression represents the side length of the square in units?


x + 4

x + 40

3x + 13

3x + 43

Who started the whole link thing anyways?

Answers

Answer:

It's x + 4

Step-by-step explanation:

And I don't know who started this link thing

Hope this helps and have a great day *(:^w^:)

Answer:

It's 3x + 13

Step-by-step explanation:

brainlyest ^(`ω´ )^ψ

i need to talk with you

52/4=13

12x/4=3x

3x+13

Next Question I only have 40 minutes to complete the rest of these. Help Asap Please. Again I will award 100pts and Brainly to whoever can get me the slope intercept form to these two cordinate points. This is timed. And I risk failing the class if I don't get these questions answered. Plz help.

Answers

Answer:

y=-2x+1

Step-by-step explanation:

First, you calculate the slope, which is rise over run: -9+5 / 5-3 = -2.  Then, find b by substituting the coordinates (of either one point) into the slope-intercept formula, y = mx + b.  

Answer:

Step-by-step explanation:

The slope intercept form of a line is

y=mx+b, where m=slope and b= y intercept

The slope of a line is defined as

m=(y2-y1)/(x2-x1), in this case we have points (3,-5) and (5,-9)

m=(-9-(-5))/(5-3)

m=-4/2

m=-2, so our line is now

y=-2x+b, using point (3,-5) we can now solve for b

-5=-2(3)+b

-5=-6+b

1=b so the completed line is

y=-2x+1

Solve each equation b+3.3=8.9 what is b?

Answers

the answer will be 5.6 !

you can get this by doing 8.9 - 3.3 ! remember you can apply this to all problems by turning division to multiplication, addition to subtraction, etc.

please mark brainliest if this was useful ♡

248 students are going on a field trip to the Museum of Natural History. They need to be split into 31 groups. How many students will be in each group?

Answers

Answer:

* There will be 8 students in each group.

Step-by-step explanation:

248 divided by 31 equals 8. Therefore, my answer is correct.

Answer:

8 students in each group.

Step-by-step explanation:

248÷31=8

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