What is an equation of the line that passes through the points (6,4) and (4,1)

Answers

Answer 1

First, you find the slope.

This is done by plugging in to the equation y2 - y1 / x2 - x1

Let 6 and 4 by x2 and y2 and 4 and 1 be x1 and y1.

4-1 / 6-4 = 3/2

The slope is 3/2.

Now, y = 3/2 x +b

To solve for b, plug in a point.

I plugged in (6, 4)

4 = 3/2(6) + b

4 = 9 + b

-5 = b

So, the equation is y = 3/2 x - 5

Hope this helps

[tex]y = \frac{3}{2} x - 5[/tex]


Related Questions

1 1/4 divided by 2

a ) 2/3
b ) 5/8
c ) 1 1/3
d ) 2 1/12

Answers

Answer:

B) 5/8

Step-by-step explanation:

1.25/2

0.625

5/8

the answer is b) 5/8

What is the diagonal length of the iPad?

Answers

Answer:

9.2 inches

Step-by-step explanation:

7^2+6^2=C^2

49+36=C^2

85+C^2

√85=√C^2

9.2 in =C

^2 are exponents

The diagonal length of an iPad is 9.2 inches

what is the anwser to the question 35−10+35−10÷5

Answers

Answer:

its 10

Step-by-step explanation:

-12 is the answer to this

what makes -1.3 a non integer

Answers

Answer:

Decimal and fractions numbers are non-integers

Step-by-step explanation:

The answer is the third choice because integers are whole numbers that can be positive, negative, or zero. -1.3, however, is not a whole number, so it is not an integer. The reason is the third choice as decimals and fractions are not integers. Hope it helps!

-5 = -2x + 27 - 3x this has to be 20 characters so ignore this lollllll

Answers

Answer:

6 2/5=x

Step-by-step explanation:

What's the value of
z? - 3x + 1
when x = -2 and y = 42

Answers

Answer: 11

Step-by-step explanation:

Based on te question in the picture (which is different from what you wrote)

x^2 - 3x  +  1

-2^2 - 3(-2) + 1

4 + 6 + 1 = 11

Triangle ABC is dilated by a scale factor of 4. If A is located at (3,-5), where will A’ Be located?

Answers

Answer:

Step-by-step explanation:

Multiply both numbers by 4. That is your new coordinates. (12,-20)

(3) An estate was to be divided among five people. The first person received 1/8 of the estate. The next two people each received 1/5 of the estate. The fourth person received 1/10 of the estate. What fractional part of the estate did the last person receive?

Answers

Answer:

3/8

Step-by-step explanation:

An estate has to be divided among the 5 persons.

Given that the 1st person received 1/8 of the estate,

the 2nd person received 1/5 of the estate,

the 3rd person received 1/5 of the estate,

and the 4th person received 1/10 of the estate.

Let the 5th person received the x part of the estate.

The sum of all the fractional parts of one estate equals to 1, so

[tex]\frac 1 8+\frac 1 5+\frac 1 5+\frac 1 {10}+x=1[/tex]

[tex]\Rightarrow \frac 5 8 +x =1[/tex]

[tex]\Rightarrow x =1-\frac 5 8 =\frac 3 8.[/tex]

Hence, the last person received 3/8  of the estate.

The sum of the average amounts spent for veterinary expenses for​ dogs, cats, and birds in a recent year was ​$293 The average expenditure per dog exceeded the sum of the averages for cats and birds by ​$113. The amount spent per cat was times the amount spent per bird. Find the average amount spent on each type of animal.

Answers

The question is incomplete:

The sum of the average amounts spent for veterinary expenses for​ dogs, cats, and birds in a recent year was ​$293 The average expenditure per dog exceeded the sum of the averages for cats and birds by ​$113. The amount spent per cat was 9 times the amount spent per bird. Find the average amount spent on each type of animal.

Answer:

The average amount spent in dogs is $203, in cats is $81 and in birds is $9.

Step-by-step explanation:

From the information given, you can write the following equations:

x+y+z=293 (1)

x-y-z=113 (2)

y=9z (3)

You can replace (3) in (1) and (2):

x+9z+z=293

x+10z=293 (4)

x-9z-z=113

x-10z=113 (5)

Now, you have the following equations:

x+10z=293 (4)

x-10z=113 (5)

Then, you can isolate x in (4):

x=293-10z (6)

Next, you can replace (6) in (5):

293-10z-10z=113

293-20z=113

293-113=20z

180=20z

z=180/20

z=9

Now, you can replace the value of z in (6) to find x:

x=293-10z

x=293-10(9)

x=293-90

x=203

Finally, you can replace the value z in (3) to find y:

y=9*(9)

y=81

According to this, the answer is that the average amount spent in dogs is $203, in cats is $81 and in birds is $9.

Lin has a scale model of a modern train. The model is created at a scale of 1 to 48. The height of the model train is 102 millimeters. What is the actual height of the train in meters? Round your answer to the thousandths (third) decimal place. Do not include units (meters) in your answer.

Answers

102 x 48 = 4284mm = 4.284m

solve the inequality -4x + 5 > 21​

Answers

Answer:

x < -4

Step-by-step explanation:

Step 1: Write inequality

-4x + 5 > 21

Step 2: Solve for x

Subtract 5 on both sides: -4x > 16Divide both sides by -4: x < -4

Answer:

x < -4

Step-by-step explanation:

[tex]-4x+5>21\\\\-4x+5-5>21-5\\\\-4x>16\\\\\frac{-4x>16}{-4}\\\\ \boxed{x<-4}[/tex]

Hope this helps.

What is the missing term in the factorization? 1872 -- 32 2(3x+?) (3x – 4) Enter your answer in the box.​

Answers

Answer:

4

Step-by-step explanation:

..........................

Find the slope of line:6x+3y=21

Answers

Answer:

-2

Step-by-step explanation:

6x+3y=21

Bring the equation to y=mx+c form

3y=21-6x

y=-2x+7

When comparing, m=-2

Slope m=-2

first, subtract 6x from both sides: 3y= -6x+21
next, divide everything by three: y= -2x + 7, the slope would then be -2 & the y-intercept would be 7

what a number named as a googolplexian might be ?

Answers

Answer:

A 1 with a hundred 0's following it

Step-by-step explanation:

What is the value of n in the equation -1/2 (2n + 4) + 6 = -9 + 4(2n + 1)?
n =

Answers

Answer:

n=1

Step-by-step explanation:

Answer:

n=1

Step-by-step explanation:

Which demonstrates the distributive property? *
a + b = b + a
O (a + b) + c = a + (b + c)
a(b + c) = ab + ac
a + 0 = a

Answers

Answer:

a(b + c) = ab + ac demonstrates the distributive property ⇒ C

Step-by-step explanation:

The distributive property is the product of a number by the sum of the other two numbers equal to the sum of the product of the number with each of the other two numbers.

Example: x(y + z) = xy + xz

Let us check the choices to find which of them demonstrates the distributive property

∵ a + b = b + a

→ Adding a and b equals to adding b and a,

∴ It demonstrates the commutative property

∵ (a + b) + c = a + (b + c)

→ Adding the sum of a and b to c equals to adding c to the sum of a and b

∴ It demonstrates the associative property

a(b + c) = ab + ac

→ Multiplying a by the sum of b and c equals the sum of the products

  of a, b and a, c

It demonstrates the distributive property

∵ a + 0 = a

→ The additive identity is zero

∴ It demonstrates the additive identity property

a(b + c) = ab + ac demonstrates the distributive property

helpppp quickkkkkkkkk

Answers

same side interior angles

Answer:

your answer is the last on the bottom

What is the value of x?

Answers

Answer:

x=30

Step-by-step explanation:

Help me please this is a function questions need asap

Answers

Answer:

y hfaczdg eek Robocop teardrop outbound liquidz

2-10n plez helppppppppppppppppppppp

Answers

Answer:

2-10n=.............what. We can't figure out n given 2-10n without a solution

Step-by-step explanation:

This doesn’t make sense

Jay bought a painting on sale for 45% off the original price, for $27. What was the price of the painting before the sale?

Answers

Answer:

 0.55x = $27

Step-by-step explanation:

Let the price of the painting = x

x - 45% of x = $27

    x - 0.45x = $27

         0.55x = $27

Divide both sides by 0.55

 0.55x/0.55 = $27/0.55

                  x = $49.09

Find X if PQR is an isosceles triangle. Please

Answers

Answer:

x=9

Step-by-step explanation:

because its isosceles, and as stated PQ = QR

so...

2x+1=3x-8

solve for x

x=9

Hope you are having a good day!

Answer:

The value of X in isosceles triangle is 9

i know it’s a lot to ask for but what are the answers for all of these you get 100 points and you get marked brainliest

Answers

In order: -15, -5, -15, 0, 0, -18, 0, 18, -30, -10, -11, -7, -14, 14, 0, -16, -200, 0.
-15, -5, -15, 0,0, -18, 0, 18, -30,-10, -11, -7, -14, 14, 0, -16, -200,0

if h(z)=2z2-5z+7, find h(3c)

Answers

Answer: h(3c) = 18c2 - 15c + 7

Step-by-step explanation:

h(z) = 2z2 - 5z + 7

To find h(3c), replace each z with 3c.

h(3c) = 2(3c)2 - 5(3c) + 7

Now just simplify.

h(3c) = 2(9c2) - 5(3c) + 7

h(3c) = 18c2 - 15c + 7

See attachment for math work and answer.

1. Mr. Samuels' bank account was in the red, at – $50. For two weeks, he worked at a few odd jobs and made $12, then $24, then $14. What will Mr. Samuels' bank account statement say after he deposits the money, he earned from working these odd jobs? Draw a number line and model the process that leads you to your ans

Answers

Answer:

0

please check the attached image for a number line

Step-by-step explanation:

Because Mr Samuels account is in the red, his account would be in the negative. Cash additions to the account would be an addition to the account. This would reduce the negative amounts in the account

-$50 + $12 + $24 + $14 = 0

What is the answer??

Answers

Answer:

A

Step-by-step explanation:

X=20
5x-40=60
Its the answer

What is the slope of the line through (3, 2) and (-3, 4)?
3.4)
(32)
1
2
14
A. -3
O B.
O D. 3

Answers

Answer:

C

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (3, 2) and (x₂, y₂ ) = (- 3, 4)

m = [tex]\frac{4-2}{-3-3}[/tex] = [tex]\frac{2}{-6}[/tex] = - [tex]\frac{1}{3}[/tex] → C

The slope of the line is -1/3 through the points(3, 2) and (-3, 4) which is correct option (C).

What is slope of line?

Slope of line is defined as the angle of line. It is denoted by m

Slope m = (y₂ - y₁)/(x₂ -x₁ )

Consider two points on a line—Point 1 and Point 2. Point 1 has coordinates (x₁,y₁) and Point 2 has coordinates (x₂, y₂)

What is graph?

A graph can be defined as a pictorial representation or a diagram that represents data or values.

From the given graph we can pick the points which can tell us about the nature of the line that slope of line is negative.

Given,

Points of line is (3, 2) and (-3, 4)

Let

x₁ = 3, y₁ = 2

x₂ = -3, y₂ = 4

∵ Slope m = (y₂ - y₁)/(x₂ -x₁  )

Substitute values in formula

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

m = 2/(-6)

m = -1/3

Hence, the slope of the line is -1/3

Learn more about Slope of Line here :

brainly.com/question/14511992

#SPJ5

Tickets to a 3D movie cost $12.50 for adults and $8.50 for children. The theater can seat up to 180 people. A total of $1826 was collected in ticket sales for the sold out 7:15 PM show. Determine the number of adult tickets and the number of children's tickets that were sold.

Answers

Let, number of children are x and number of adult are y.

Total number of seats, T = 180.

x + y = 180     ....1)

Tickets to a 3D movie cost $12.50 for adults and $8.50 for children.

So, total amount :

8.5x + 12.5y = A

8.5x + 12.5y = 1826    ....2)

Solving equation 1) and 2) , we get :

8.5x + 12.5( 180 - x ) = 1826

8.5x - 12.5x + 2250 = 1826

-4x = -424

x = 106

y = 180 - 106 = 74

Therefore, the number of adult tickets and the number of children's tickets that were sold are 74 and 106.

Hence, this is the required solution.

Pampered Pooch charged $10 for 2 hours of doggie daycare and $20 for 4 hours. What is the unit rate? Show your work.

Answers

Answer:

$5

Step-by-step explanation:

1=$5 so 2 hours = 10 SO 4hours ×$5= $20

Answer:

$5 per hour

Step-by-step explanation:

hope this helps :D

cheers man

1)which set of points is a function?
2)which order pears cause this relations not to be a function. why?​

Answers

Answer:

First Question is B

Second Question is C

Step-by-step explanation:

You can’t have the same x values going to different y values

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