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

Answers

Answer 1

Given :-

A line having a slope of 3/2 passes through (2,1) .

To Find :-

The equation of the line .

Answer :-

According to the question ,

m = 3/2 Point = (2,1)

We know Point slope form of the line as ,

y - y¡ = m ( x - x ¡ )

Substitute ,

y - 1 = 3/2 ( x - 2 ) y - 1 = 3/2x - 3/2*2y - 1 = 3/2x - 3 2( y -1) = 3/2x *2 - 3*22y - 2 = 3x - 6 3x - 2y -4 = 0

Hence the equation of the line is 3x -2y-4=0 .

Answer 2

Answer:

Step-by-step explanation:

Use the form y = mx + b and plug in your known point

y = 3x/2 + b

1 = 3(2)/2 + b

1 = 3 + b

b = -2

y = 3x/2 - 2

we can use a plotting calculator to verify our result.

What Is The Equation Of The Line That Passes Through The Point (2, 1) And Has Aslope Of 3/2?

Related Questions

£350 in the ratio 2:3

Answers

Answer:

£140 : £210

Step-by-step explanation:

sum the parts of the ratio, 2 + 3 = 5 parts

Divide the total by 5 to find the value of one part

£350 ÷5 = £70 , then

2 parts = 2 × £70 = £140

3 parts = 3 × £70 = £210

£350 in the ratio 2 : 3 is £140 : £210

g(x)=3x+7 table function

Answers

Answer:

1: g(x) = -2

2: g(x) = 1

3: x = 1

4: x = 0

5: x = 2

Step-by-step explanation:

solve pls brainliest!

Answers

Answer:

A) right

B) acute

C) obtuse

D) acute

Step-by-step explanation:

A clothing store at the mall has a sale of 30% off al items. find the sale prices for item

Answers

Answer: 30%=0.3

al=0.3

Step-by-step explanation:

If right please give brainlest

The average of three numbers is four. If a fourth number is added, what
is the value of that number if the resulting average of the four numbers
is five?

Answers

Answer:

Step-by-step explanation:

Sum of four numbers =4x5=20

Sum of three numbers =3x4=12

So fourth number =20-12=8

Find and even number between 20 and 50 that is a multiple of 5 and 8

Answers

Step-by-step explanation:

25ieiejrnjekeee ejeioeoeoe

ejejrmmrjrkrke

A fish store can place 5 fish in each fish bowl. If there are 263 fish to place, how many fish bowls are needed for all 263 fish?

Answers

Answer:

52.6

Step-by-step explanation:

263/5=52.6

Answer:

53

Step-by-step explanation:

You must take 263 and divide it by 5

263/5 = 52.6

So, 5 times 52 = 260

BUT 5 times 53 = 265.  You would need 53 fish bowls

If 243= 3x, what is 3 x- 1?​

Answers

Answer:

242

Step-by-step explanation:

243-1 is 242

3X squared plus 5X - 2 =0

Answers

Answer: x= -0.3,2

Step-by-step explanation:

Combine your like terms then solve.

Answer:

Step-by-step explanation:

Sum = 5

Product = -6

Factors = (-1) ; 6    {-1+ 6 = 5  & (-1)*6 = -6}

3x² + 5x - 2 = 0

3x² - x + 6x - 2 = 0

x(3x - 1) + 2(3x - 1) = 0

(3x - 1)(x + 2) = 0

Find the sum. Include all calculations in your answer.

-4 5/8 + 2 1/2

Answers

Answer:

-2 1/8

Step-by-step explanation:

- 17/8 = -2 1/8 = -2.125


What is the equation? NO SPACES

X=30

Answers

Given the following angles of the triangle:

< 90°, < 30°, and < 2x °, and that the sum of all angles must equal 180°, to setup the equation for x, we must create an equality statement:

< 90° + < 30° + < 2x° = 180°

Now, to isolate 2x:

We need to subtract < 90° and < 30° from both sides:

< 90° - < 90° + < 30° - < 30° + < 2x° = 180° - < 90° - < 30°

2x° = (180° - < 90° - < 30°)
Next, we must divide both sides by 2 to isolate x:

2x°/2 = (180° - < 90° - < 30°)/2

Therefore, the equation for x is:

x=(180-90-30)/2

Which two ratios represent quantities that are proportional?

36

48

B.

9

10

O A. 56 and

and 13

O c. 17

O d. 24 and 1

and

Answers

Answer:8

Step-by-step explanation:

If ý = (-7, 2) and Z = (1, -8), find the difference y - z. ý -z = 0​

Answers

Answer:

<-8,10>

Step-by-step explanation:

Apply Regular Subtraction rules

(-8,10)

A teacher wrote this expression on the board. What is the value of this expression
(-6)2+(-8÷4)

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{(-6)2 + (-8\div 4)}\\\mathsf{\rightarrow -6(2) + (-8\div4)}\\\large\mathsf{\rightarrow-12 + (-8\div4)}\\\mathsf{\rightarrow -12 + (-2)}}\\\mathsf{\rightarrow -12 - 2}\\\mathsf{\rightarrow -14}\\\\\\\large\textsf{Therefore, your answer is: \boxed{\mathsf{-14}}}\huge\checkmark[/tex]

[tex]\huge\textsf{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

-14

Step-by-step explanation:

(-6 ) 2 + ( -8 ÷ 4 )

Step 1 :- Distribute 2 through parantheses.

-12 + ( -8 ÷ 4 )

Step 2 :- Divide the number in the brackets.

-12 + ( - 2 )

Step 3 :- When there is a + in the front of an expression in parantheses, the expression remains the same .

- 12 - 2

Step 4 :- Calculate the difference.

-14 .

Therefore , the answer of this expression is -14.

Can someone help me understand how you do rates/ratios for the last step like you would have to make them improper then divided and then times then flip them but what do you for the last part? Like for an a example this problem question?

Answers

Answer:

432,000 miles

Step-by-step explanation:

18,000 mi/1 h = x/24h (cross multiplication)

(18,000)*(24) =

Which of is different? (IQ test)
0 3 1 2 4 12 15

Answers

Step-by-step explanation:

Odd and even numbers I think so

Answer:

I guess 0

Step-by-step explanation:

As 0 has no value

Can someone help me please <3

Answers

Answer:

3s

Step-by-step explanation:

Since it's 3 of them

and we don't know how much each bought

need help with this algebra ii question

Answers

Answer:

c = 9.

Step-by-step explanation:

Complete the square:

x^2 - 6x + (-3)^2 = 0

x^2 - 6x + 9 = 0

(x - 3)^2 = 0

so the root is 3 and c = 9.

Step-by-step explanation:

Subtract

x2

from both sides of the equation.

−6x+c=−x2

Add

6x

to both sides of the equation.

c=−x2+6x

- 2 - (- 9) show all steps

Answers

The Answer is 7, when subtracting a negative number (like - -9) is simply adding that number onto the previous number. The question can be rewritten as -2 + 9 and that is 7. Hope this helps!

Answer: 7

Step-by-step explanation:

Negatives cancel out and it turns into -2+9 which is 7

:)

True or false? Mno is a right triangle?

Answers

Answer:

I think the answer is true

Step-by-step explanation:

MNO is a right triangle because one of its angles is a right angle and it has a hypotenuse (the longest side) and two legs (the other two sides that are always shorter than the hypotenuse.

Hope this helps!

~Just a joyful teen

[tex]SilentNature\\(GraceRosalia)[/tex]

Average Price (dollars) 22 40 28 35 46

Number Sold 152 94 134 110 81

Is there a relationship between the average price and the number sold?

Answers


I don’t even wanna go get my kids and get to go to work tomorrow so y’all don’t know what I gotta I wanna is the day you got me in my car so I’m going back home to you and get my kids done and then go to take my car to the house I gotta is a way I gotta is a time for I don’t even wanna go get my kids and get to go to work tomorrow so y’all don’t know what I gotta I wanna is the day you got me in my car so I’m going back home to you and get my kids done and then go to take my car to the house I gotta is a way I gotta is a time for

can someone help with this Linear programming project

Answers

Answer: c

Step-by-step explanation:

For question 15 I didn’t attend my school session.so, i have no idea what’s the rule of the pithagoras theorem

Answers

Answer:

Step-by-step explanation:

Pythagoras simply says that for a right triangle, the sum of the squares of the two shorter legs will equal the square of the hypotenuse.

a² + b² = c²

in this case a = x

                  b = x + 2

                   c = x + 3

x² + (x + 2)² = (x + 3)²

x² + (x + 2)² = (x + 3)²

x² + (x² + 4x + 4) = (x² + 6x + 9)

       2x² + 4x + 4 = x² + 6x + 9

           x² - 2x - 5 = 0

quadratic formula

x = (2 ±√(2² - 4(1)(-5))) / (2(1))

x = (2 ± √24) / 2

a negative length does not make sense so

x = 1 + √6

     x ≈ 3.4

x + 2 ≈ 5.4

x + 3 ≈ 6.4

How to solve (X-6)-(X+2)=3X

Answers

Answer:

x= -8/3

Step-by-step explanation:

(x-6)-(x+2)=3x

step 1) remove parentheses

x-6-x-2=3x

step 2) combine like terms

-8=3x

step 3) solve for x by dividing by 3 on both sides

-8/3 = x

Answer:

See below

Step-by-step explanation:

Hi there!

We want to solve the following equation:

(x-6)-(x+2)=3x

In this equation, notice how in front of (x+2), there is a minus sign

It's the same as if the equation was:

(x-6) + -1(x+2)=3x

We'll need to distribute the -1 to both terms, x and 2

so:

-1(x+2)= -1*x + -1*2= -x + -2, or -x-2

As for the (x-6), we can just open up the parenthesis without doing anything.

So on the left side, it becomes:

x -6 -x -2 = 3x

Now we can combine like terms.

x and -x are like terms, while -6 and -2 are like terms

x and -x add up to equal 0, while -6 and -2 add up to equal -8

-8 = 3x

Now, we have 3x by itself, but remember we just want x, or 1x.

Dividing a number by itself will result in 1

So we can divide both sides by 3

*note: we shouldn't divide by 3x. When we divide by 3, the result is [tex]\frac{3x}{3}[/tex], which if we cancel out the 3 from the numerator and denominator, gets the same result as 1x. If we divided by 3x, we'd just be getting 1 on the right side, while we'd be getting [tex]-\frac{8}{3x}[/tex] on the left, which isn't what we want.

-8/3=x

Hope this helps!

Lines AB, CD and EF intersect at O. Find the measures of ∠AOC, ∠COF, and ∠COE.

Answers

Answer:

do you want to build a snowman common let's go and play I see you wanna any more come out the door it's gonna go away the you the be the buddies and nower not I wish you with call me why

I really need help on this (:

Answers

It’s either B or D because you have to make the denominator 12

The answer is the last one

A shop sold small and large tin fish in the ratio 2:3 if 600 small tinned fish sold how many large tinned fish were sold??and find the total number of tinned fish sold by the shop???​

Answers

Answer:

900 Large Fish

1500 Fish Total

Step-by-step explanation:

The 2:3 ratio means that for every 2 small fish sold, 3 large fish are sold.

We can divide 600 by 2 and then multiply by 3 to find our answer.

[tex]3(\frac{600}{2} )[/tex]

[tex]3(300)[/tex]

[tex]900[/tex]

To check our answer, we can put it into the form of a fraction and see if it simplifies back to that ratio.

[tex]\frac{600}{900} /\frac{300}{300} =\frac{2}{3}[/tex]

We have confirmed 900 is the correct number of large fish. To answer the second part of the question we just have to add the two numbers together.

[tex]600+900=1500[/tex]

So, our two answers are

900 Large Fish

1500 Fish Total

Nearest 10,000 to 90.872

Answers

9514 1404 393

Answer:

  0 (US) or 90.870 (some other places)

Step-by-step explanation:

We can see this problem being interpreted two ways, depending on the number conventions you're using.

US interpretation

In this interpretation, the decimal point separates the integer and fractional parts of a decimal number.

You want the nearest ten thousand to ninety and a fraction. Since ninety is less than five thousand, it rounds to zero.

  90.872 ≈ 0

__

French interpretation (and some other places)

In this interpretation, the comma separates the integer and fractional parts of a decimal number.

You want the nearest ten to ninety thousand eight hundred seventy-two. Since two (the units digit) is less than five, it is replaced by zero.

  90.872 ≈ 90.870

3. Does the point (5, 10) fall on the graph of this line? (The line described in questions #1 and #2). How do you know? Show your work algebraically (That is, don’t draw me a graph… show me using numbers, variables, and/or symbols). (2 points).

Answers

Since y is not equal to 10, hence the coordinate point does not fall on the line graph.

Since we are not given a graph, we will use the attached graph as a reference:

The equation of a line is expressed as y = mx + b

m is the slope

b is the y-intercept

Get the slope of the line

[tex]m = \frac{0-(-2)}{-2-0}\\m=\frac{2}{-2}\\m = 1[/tex]

Since the line suts the y-axis at y = -2, hence b = -2

Get the equation of the line:

Recall that y = mx + b

y = x + (-2)

y = x - 2

Next is to check if the coordinate (5, 10) lies on the line

If x = 5

y = x - 2

y = 5 - 2

y = 3

Since y is not equal to 10, hence the coordinate point does not fall on the line graph.

Learn more here: https://brainly.com/question/17003809

Briana has 2 grandmothers. She mailed
2 cards to both of them. In each card
she put 6 photographs. How many
photographs did Briana mail in all?

Answers

24! Hope this helped

Answer:

24

Step-by-step explanation:

Multiply 6 by 2 because Briana put 6 photographs in each card and there are 2 cards. You would get 12.

Since Briana has 2 grandmothers, multiply 12 by 2 and you would get 24.

hope that helps:)

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