What is the equation of the line that passes through the point (-2, 1) and has a
slope of 3/2?

Answers

Answer 1

Answer:

Step-by-step explanation:

Given:

x1 = -2

y1 = 1

slope (m) = 3/2

Solution:

y - y1 = m ( x - x1 )

y - 1 = 3/2 ( x - (-2) )

y - 1 = 3/2 ( x + 2 )

y - 1 = 3/2x + 3

y = 3/2x + 3 + 1

y = 3/2x + 4


Related Questions

who was often called the father of modern mathematics because he created analytic geometry and the cartesian coordinate system?

Answers

René Descartes was the person who created analytic geometry and the Cartesian coordinate system

can someone help me with this asap, please and thank you (pic attached) *math*

Answers

Step-by-step explanation:

the "x-2" makes it shift by 2 to the right (functional values are created at x that "should have happened" at 2 x units before, so the whole graph moves to the right).

the 0.4 factor compresses it by the factor 0.4

the "-" at the beginning just "flips" (reflects) it to the other side of the x-axis.

hi guys need some help with this one question thanks

Answers

Take two co-ordinates

(-2,0)(0,4)

[tex]\\ \sf{:}\Rrightarrow m=\dfrac{4-0}{0+2}=\dfrac{4}{2}=2[/tex]

Equation in point slope form

[tex]\\ \sf{:}\Rrightarrow y-y1=m(x-x1)[/tex]

[tex]\\ \sf{:}\Rrightarrow y-4=2(x-0)[/tex]

[tex]\\ \sf{:}\Rrightarrow y=2x+4[/tex]

What is the solution to the system of equations?
y = -2x – 6
4x - y = -36

A (15, 24)

B (-7, 8)

C (-5, 4)

Answers

It’s a i think I don’t know

Solve the inequality f – 4 ≤ 9 for f
help me.

Answers

f ≤ 13 (add the 4 to the 9 to make 13)

Answer:

13

Step-by-step explanation:

Have a great day!! :)

15+25 distributive property

Answers

Answer:

(5 x 3) + (5 x 5)

Step-by-step explanation:

hope thats what your looking for

Make x the subject of the formula x/a 2 + 3 b = 2 c

Answers

Answer: x=-3ab/2+ac

Step-by-step explanation:

Multiply to remove the fraction, then set equal to 0 and solve.

determine if the two triangles are congruent.If they are state how u know

Answers

Answer:

17) Congruent because two sides are congruent and so is the 90 degree vertical angle.

18) Congruent because they have a congruent leg and congruent angle, and they share a side which is congruent to itself. (SAS)

19) Congruent because all three sides are congruent (SSS)

20) congruent, all three sides are the same (SSS)

The regular price of a ladder is $250. If a customer uses the coupon, what percent will the customer save?

Answers

How much does the coupon take off of the original price?

-8 Find the slope of the line y = -8/2x+1/5 Simplify your answer and write it as a proper fraction, improper fraction, or integer.​

Answers

The slope is -4.

Because:

-8/2 is -4, which is the slope.

Mai biked 6 3/4 miles today, and Noah bikes 4 1/2 miles. How many times the length of Noah’s bike ride was Mai’s bike ride?

Answers

Answer:

Mai's ride is 1.5 times longer than Noah's

Step-by-step explanation:

On a certain hot​ summer's day, 421 people used the public swimming pool. The daily prices are $1.75 for children and $2.00 for adults. The receipts for admission totaled $788.50. How many children and how many adults swam at the public pool that​ day?

There were _ children at the public pool.

There were _ adult at the public pool

Answers

Answer:

214 children and 207 adults

Step-by-step explanation:

214 x 1.75=374.5

207 x 2 = 414

414 + 374.5 = 788.5

On a scale drawing of a town,two landmarks are shown 6 inches apart. These two places are actually separated by 54 miles. What is the map's scale? 1 inch = ______ miles​

Answers

Answer:

9

Step-by-step explanation:

[tex]54 \div 6 = 9[/tex]

The length of a rectangle has a measure of x and the width of a rectangle has a measure of (x-2). Find x if the area is 35.

Answers

Answer:

length = 7

pls mark me the brainliest

Step-by-step explanation:

A = Lw

35 = x (x -2)

35 = x2 - 2x

x2 -2x -35 = 0

(x-7)(x+5) = 0  

x-7=0

x=7       (we won't use the other factor since it would give us a negative length

so length = 7

A planet has a circular orbit around a star. It is a distance of 65,000,000 km from the centre of the star. It orbits at an average speed of 65,000 km/h. How many Earth days does it take the planet to orbit the star? Give your answer to 2 sf.​

Answers

Answer:

42

Step-by-step explanation:

65000000/65000=1000

24hrs=1 day

1000/24=125/3

125/3 times 1000= 42

I need correct answer for this ​

Answers

Answer:

should be 82%

Step-by-step explanation:

Hope this helps!

Answer:

82%

Step-by-step explanation:

percents are out of 100, so its just multiplied by two

I NEED ANSWER NOW PLEASE TELL ME HOW YOU GOT THE ANSWER PLEASE NO LINKS ITS DUE IN 12 MINS!

Answers

Answer:

65.214

Step-by-step explanation:

0x100=0

6x10=60

5x1=5

2x(1/10)=0.2

1x(1/100)=0.01

4x(1/1000)=0.004

add all of these values up. hope this helps!

A car salesperson works 40 hours per week at a job where he has two options for being paid. Option A is an hourly wage of ​$16. Option B is a commission rate on weekly​ sales, and he averages ​$6400 in sales each week. What commission rate does he need to have to earn the same amount with the two​ options?

Answers

10%

since he works 40 hours per week and gets $16 an hour, that would be 16 * 40 which is 640, so that means he needs a commission rate of 10% as 10% of 6400 is 640.

hope this is helpful!

Peter says, "If you subtract 16 from my number and multiply the difference by - 2, the result is
- 34." What is Peter's number?

Answers

Let’s say Peter’s number is P.

P minus 16 and the answer times -2 is -34

-2(P-16) = -34

-2P+32 = -34

-2P = -66

Divide by -2

P is 33.

Check: 33-16 is 17 and 17*-2 is -34. So

P is 33.

Answer:

33

Step-by-step explanation:

Let the number be x,

=> (x - 16) -2 = - 34

=> -2x + 32 = -34

=> -2x = - 34 - 32 (by transposing)

=> -2x = -66

=> x = -66/-2 = 33

Peter's number is 33.

Hope you understood.

The lunch choices last Friday were mushroom or pepperoni pizza. The cafeteria made 40
pizzas in all, 40% of which were mushroom pizzas. How many mushroom pizzas did the
cafeteria make?

Answers

Answer

16 mushroom pizzas

please help me with this also jjodlask​

Answers

Answer:

1. 15, 2. -23, 3. 220, 4. 4x-5

Step-by-step explanation:

f(x) = 4x + 3     g(x) = x - 2

1. f(g(5)): Put 5 in as x in g(x)  5 - 2 = 3.  Now put the 3 as x into f(x) and solve. 4(3) + 3 = 15

2. g(f(-6))  4(-6) + 3 = -21. -21 - 2 = -23

3. (f(f(7)) 4(7) + 3 = 31, 31(7) + 3 = 220

4. g(f(x))  4(x-2) + 3  =  4x - 8 + 3  = 4x - 5

Composite functions

When a function is substituted into another function it is known as a composite function.

Given the following functions:

f(x) = 4x  + 3

g(x) = x - 2

Determine [tex]f(g(x)) \ and \ g(f(x))[/tex]

[tex]f(g(x)) = f(x-2)\\ f(x-2) = 4(x-2)+3\\ f(x-2)=4x-8+3\\ f(x-2) = 4x - 5\\ f(g(x)) = 4x - 4 [/tex]

1) Determine the value of [tex]f(g(5))[/tex]

[tex]f(g(5))=4(5) - 4\\ f(g(5))=20-4\\ f(g(5))=16[/tex]

2) For the function [tex]g(f(-6))[/tex]

[tex]g(f(-6))=4(-6) + 1\\ g(f(-6))=-24+1\\ g(f(-6))=-23[/tex]

3) For the value [tex]f(f(7)), [/tex]we need to determine [tex] f(f(x))[/tex]

[tex]f(f(x)) = f(4x+3)\\ f(f(x))= 4(4x+3)+3\\ f(f(x))=16x+12+3\\ f(f(x))=16x+15\\ f(f(7)) = 16(7) + 15\\ f(f(7)) = 127[/tex]

4) For the function [tex]g(f(x));[/tex]

[tex]g(f(x))=(4x+3)-2\\ g(f(x))=4x+3-2\\ g(f(x))=4x+1[/tex]

learn more on composite functions here: https://brainly.com/question/10687170

Please help! I highly appreciate it! :D

Answers

[tex]\huge \bf༆ Answer ༄[/tex]

Total surface Area of the cuboid is ~

[tex] \sf2(lb + bh + lh)[/tex]

[tex] \sf2[(12 \times 4) + (4 \times 5) + (12 \times 5)][/tex]

[tex] \sf2[48 + 20 + 60][/tex]

[tex] \sf2(128)[/tex]

[tex] \sf256 \: \: ft {}^{2} [/tex]

Surface area = 256 ft^2

Surface area (SA) = Total area on the Surface only

SA of cuboid = Area of rectangle (2 sides) + Area of square (2 sides) + Area of other rectangle (2 sides)

SA = 2(12x5) + 2(4x5) + 2(12x4)

SA = 120 + 40 + 96

SA = 256 ft^2

Acafeteria has two sizes of pizza to serve students during lunch.
The smaller pizza has a 4-inch diameter. What is the area of the smaller pizza?
What did a the area of the smaller pizza

Answers

Answer:

pointsss

Step-by-step explanation:

Answer: 12.56 inches^2 or 4π inches^2 (depending on what format your answer needs to be in)

Step-by-step explanation:

The formula for the area of a circle is [tex]\pi r^{2}[/tex].

To find the radius (r), divide the diameter of 4 inches by 2. The radius is 2 inches.

Plug this into your equation to get [tex]\pi (2^{2} )[/tex], which can be simplified to 4π inches^2.

If you need your answer as a decimal, input 3.14 for [tex]\pi[/tex] to get an equation of 4 * 3.14. Multiply to get a final answer of 12.56 inches^2.

Which is correct? I wanna make sure im right

Answers

it is letter C. 3.9

hope it helps

#Chloe919

#thanks for the points

#carry on learning

16. You and a friend are going shopping. You leave school and drive 10 miles
due west on 26th Street. You then drive 7 miles NW on Raspberry Street to the
grocery store. Your friend leaves school and drives 10 miles due east on 26th Street.
He then drives 7 miles SE on Cascade Street to the movie store. Each of you has
driven 17 miles. Which of you is farthest from your school?

Answers

Answer:

My friend is farthest from my school

Step-by-step explanation:

Let the distance from the movie store to school be x and the distance from the grocery store to school be y

Using Cosine rule,

x²= 10²+7² - 2×10×7Cos120

x²= 149 -140(-0.5)

x²= 149+70

x²= 219

x= √219

= 14.8miles

y²= 10²+7² - 2×10×7Cos100

y²= 149 -140(-0.1736)

y²=149+24.2704

y²=173.2704

y=√173.2704

y=13.4miles

What are the slope and y-intercept of this function?

Answers

[tex]\huge \rm༆ Answer ༄[/tex]

The Correct choice is D

Consider two points (0 , 3) and (2 , -1), now let's find the slope ~

[tex] \sf{ \dfrac{y2 - y1}{x2 - x1} }[/tex]

[tex] \sf \dfrac{3 - ( - 1)}{0 - 2} [/tex]

[tex] \sf \dfrac{4}{ - 2} [/tex]

[tex] \sf - 2[/tex]

And as about y - intercept, the point having x - coordinate equal to zero is its y - intercept.

that is ~

[tex] \sf(0 ,3)[/tex]

Find the total surface of :

Answers

(pi)r^2 = (pi)(14)^2,

(pi)196

Now solve for the height,
(10)(196)(pi)
Then it’s 1960(pi)

Now multiply pi, 6157.521

Derek and Jeannine buy a car for a total price, including tax, of $19,795. The price of the car was $18,500. What is the tax rate.

Answers

Answer:1.07

Step-by-step explanation:

Can i get some help :

Answers

Answer:

New Price = 1.55c

Step-by-step explanation:

Since we are asked to represent the original cost of the toy as c, and not it's actual cost of ($9.84 - $3.49, or $6.35), I'll assume the question is interested only in the relative price increase.  The relative increase is 3.49/6.35 or 55%.  The new price is 155% or 1.55 times the original price.

That means we have New Price = 1.55c

5m - 2 represents the statement two less than five times a number

Answers

Answer:

yes

Step-by-step explanation:

Other Questions
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