what is the equation of the line that passes through (6,4) and (4,1)

Answers

Answer 1

Answer:

y = 3/2*x - 5

Step-by-step explanation:

Lets say that P1=(6,4) and P2=(4,1) and that the form of the equation must be y=m*x+b where m is the slope and b the independent variable. Then having two given points we can use the slope formula to find the slope value as:

P1=(x1,y1) and P2=(x2,y2)

slope formula --->   m=(y2-y1)/(x2-x1)

Replacing the given points --->    m=(1-4)/(4-6) = 3/2

then replacing the slope value obtained:

y = 3/2*x + b

Now lets find the value of b. For this we have to replace in the equation a point it can be P1 or P2, i will replace P2:

1 = 3/2*4 + b

1 = 6 + b

1 - 6 = b

-5 = b

therefore the line equation is:

y = 3/2*x - 5


Related Questions

What would make the following equation true?
-4+_____=2m+(3m-4)

Answers

I think the correct answer would be 10

Choose the fraction that is greater than 5/9.

Answers

Answer:

6/9

Step-by-step explanation:

Max’s age is twice George’s age minus 5. The sum of Manuel’s age and Gupta’s age is 31. Let g represent George’s age. The equation 2g - 5 + g = 31 represents this situation. Complete this statement: Max is ____ years old and George is ____ years old.

Answers

Max is 19 and George is 12
Manuel= 12 George=19

Evaluate f(x) = -4x - 5 for x = -1.
A. -9
B. -1
C. 1
D. 4

Answers

Answer:

the answer is c. 1

Step-by-step explanation:

f(x)= -4x -5

f(-1)= -4(-1) -5

f(-1) =4 -5

f(-1)= -1

f(-1/-1) =-1/-1

f= 1

will give out brainliest, a THX, a friend request, and will rate ur answer

Answers

Answer:

E. 35/4

Step-by-step explanation:

Multiply denominator (4) to the whole number (8) then add to the numerator (3)

(8× 4 + 3)/ 4

(32 + 3)/4

35/4

If you can answer this you get 20 points

Answers

Answer:

Rate of change for the second one (at the top) is 10

x- intercept is (-10,0)

y- intercept is  (0,20)

Step-by-step explanation:

Answer:

  in bold below

Step-by-step explanation:

Left Side

If we let the price be represented by p and the quantity by q, then a suitable equation is ...

  p/30 +q/35 = 1 . . . . equation in intercept form

  7p +6q = 210 . . . . . multiply by 210

  p = -6/7q +30 . . . . solve for p

The slope is -6/7.

The "rate of change" is -6/7. (slope and "rate of change" mean the same)

The x-intercept is 35.

The number at the end is zero (35). (assuming "the end" is the right end of the graph)

The starting price is the y-intercept (30).

The rate of cost is the slope (-6/7).

__

Right Side

The cost starts at 20 and goes up 10 for each 5 games, so 2 per game. A suitable equation is ...

  y = 2x + 20

The rate of change is 2.

The x-intercept is where y=0. It will be -20/2 = -10.

The y-intercept is 20.

_____

The graph has to do with games and cost, not minutes and feet. There is insufficient information to answer questions about minutes and feet.

_____

Comment on these questions

The notations "per billions" on the left graph cause it to make no sense whatever. The ideas of "starting" and "ending" are usually time- or sequence-related. The graph shows nothing to indicate time or sequence. The idea of "rate of cost" for TV's is nonsensical. (Cost is a rate: dollars per unit.)

If ΔABC = ΔDEF, angle m∠A = 50, and angle m∠E = 30, what is angle m∠C?

Answers

100 degrees
Triangles add up to 180 degrees
30 + 50 = 80
180 - 80 = 100

When you indicate triangle congruency, the order of the letters matter. As you see these statements, look at how the side length names correspond to how the letters are written in its order, ΔABC ≅ ΔDEF. (By the way, triangles aren't equal with an = sign. It's a ≅ congruency sign.)

AB is congruent or the same length as DE.

BC is congruent or the same length as EF.

AC is congruent or the same length as DF.

In the same way, all of the angles in the corresponding order are ALSO congruent. By the way, we say that angles are congruent and angle MEASURES (like 30 degrees) are equal.

m∠A = m∠D

m∠B = m∠E

m∠C = m∠F

In the same way, we can try to find m∠C, or measure C!

1. Let's find the missing angle!

So, we know that m∠A is 50 degrees and m∠E is 30 degrees. Since we know that m∠E = m∠B because of the order of the triangles, now we know two of the angles in triangle ABC.

m∠A = 50 degrees

m∠B = 30 degrees

m∠C = 180 degrees - (50 + 30) = 100 degrees

(We minus from 180 degrees because 180 degrees is the sum of the angles in a triangle!)

And that's it! If you have any questions, please feel free to ask questions. I'm not here to judge, and I'm only here to help. Again, ask questions if you need help. It's crucial that you know the basics of geometry!

The population in a certain town is increasing linearly each year. The population at time t=3 is 1160 and at time t=5 is 1520, where t is the number of years after 1990​

Answers

Answer:

1999

Step-by-step explanation:

The equation which represents the given situation is P=180t+620.

Given that, the population at time t=3 is 1160 and at time t=5 is 1520, where t is the number of years after 1990​.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Now, the standard form of the population is increasing linearly is P = mt + b.

Where m is the slope = (y2-y1)/(x2-x1)=(1520-1160)/(5-3)

=360/2

=180

So, 1160=180 × 3 + b

⇒ 1160=540 × 3 + b

⇒ b=620

Then, the equation is P=180t+620

Therefore, the equation which represents the given situation is P(t)=180t+620.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ2

"Your question is incomplete, probably the complete question/missing part is:"

The population in a certain town is increasing linearly each year. The population at time t=3 is 1160 and at time t=5 is 1520, where t is the number of years after 1990​.

If P(t) is the population at time t, which of these equations correctly represents this situation?

What is this expression in simplified form?

Answers

The expression simplified in form is answer : A

Hanna is recovering hundreds of treasure chests from an ancient shipwreck. She is able to recover 8 chests
every 4 hours.
Complete the table using equivalent ratios.
Treasure chests
Hours
8
4
6
10

Answers

it’s 4 hours :) the person was right ^

Evaluate
5
9
÷
5
18


[tex]Evaluate59÷518[/tex]

Answers

2

Explanation: make common denominators and then multiply after you flip the reciprocals

HELP PLEASE GIVING BRAINLIEST AND 10 POINTS!!!!

Answers

Answer:

She can hike 24 miles in 12 hours. Have a nice day. :)

Step-by-step explanation:

Answer:

Step-by-step explanation: Im confised. so sorry

The difference of two numbers is 12 while their product is 45. Find all
such numbers

Answers

15 and 3
If you multiple 15 and 3 it will get you the product of 45
The difference is 12 of the two numbers

show your work and please hurry
−16 + x = −15

Answers

Answer:

x-1

Step-by-step explanation:

-16+1  16-15=1

To get -15 move 1 in the positive direction or backwards

or if this helps ignor the - and just subtract 16 from 15

Answer:

x = 1

Step-by-step explanation:

Add 16 to each side, so it now looks like this: x = 1

I hope this helps!

Which of the four is it? ​

Answers

Answer:

option 1 i believe

Step-by-step explanation:

just worked it out

i hope this is right and helps <3

im just timed on this, Just a lil help plz

Answers

Answer:

The answer is 6

Step-by-step explanation:

in the picture you provided. We can clearly see that there are 4 squared and 6 circles

There are 4 squares and 6 circles so the ratio is 4:6. So it is 6

Heellllpppp plzzzzzzzzzzz

Answers

Answer:

3/32

Step-by-step explanation:

the reason it’s 3/32 is because you have to divide 3/4 divide by 8. So that means 3/4x1/8 and that gives you 3/32. I hope that helped you!

A bird park has black and white birds in the ratio of 8 to 2 as shown below.
Which is another ratio that can describe the black to white birds?
04 to 1
0 1 to 4
1 to 7
7 to 1

Answers

4 to 1 is the answer

A fitness center introduces two membership plans. The first plan charges $27 per month plus a $22 enrollment fee. The second plan charges $30 per month plus a $10 enrollment fee. Which of the following solution sets shows the number of months during which the first plan is less expensive?

Answers

Answer:

hrjejejdbbbhjjiiiiuhvbbdbwnjwkwksk

helpppplpppplllplplp!!!??!

Answers

Answer:

my answer came out to 8.3 repeating

Step-by-step explanation:

Malik completed 7 1/2 math problems in 10 1/3 minutes. If he has 20 problems on his homework, how long will it take him to complete his homework at the same pace?

Answers

Answer:

14.52 min

Step-by-step explanation:

7.5 prob in 10.33333 min

7.5/10.333 =.7258 prob per min

.7258 ×20 prob = 14.52 min

I converted to decimals but you don't have to

Q:What is the scale factor of this dilation?
1. 1/2
2. 1/3
3. 2
4. 3

Answers

Answer:

C. 2

Step-by-step explanation:

You can figure it out by multiplying the pre-image by 2 resulting in the image

inequality is shown 1/8

Answers

Can you give the rest of the question to answer it

Answer: answer is D 0.02

Step-by-step explanation:

Got it right

Identify the slope and y-intercept of the line on the graph. The write the equation of the line in slope-intercept form.

Answers

Answer:

7. m= 3 b= -4

Step-by-step explanation:

The line has a slope of 3/1 and a y-intercept of 0, -4. y=3x-4

Yolanda purchased stock for $7,000 and paid a 1.5% broker fee. She sold it for $6,325 and paid a 0.5% broker fee. Compute her net proceeds.

Answers

Answer:

$-748.38

Step-by-step explanation:

Net proceeds = Total cost of selling the stock - Total cost of purchasing the stock

Total cost of purchasing the stock = $7000 + ($7000 x 0.015) = $7105

Total cost of selling the stock = $6,325 + ($6,325 x 0.005) = $6356.63

Net proceeds = $6356.63 - $7105 = $-748.38

HELP ME PLEASE!!!!!!!!

Answers

Answer:

sure with what

Step-by-step explanation:

Domain: [-7, 7]
Range: [-7, 3]

Domain is all the x-values included from left to right, and range is all the y-values included from bottom to top. If there is a break, then there is a break in the notation, but I don't think you're in that part of the lesson yet

Solve for s in terms of t, u, v, and w. su=twv

Answers

Answer:

Hi there

Your answer is

s= (twv)/u

Step-by-step explanation:

su=twv

/u

s= (twv)/u

We need a rock garden with perimeter of 12 feet and an area of 8 square feet

Answers

Answer:

Width: 4  

Length: 2

Step-by-step explanation:

a kinder garden class has 9 girls and 11 boys in class what percent of the class are girls

Answers

Answer:

45%

Step-by-step explanation:

i am not that sure but when i calculated it, i got this answer.

Answer: 55%

Explanation: 11 boys and 9 girls.....total of 20 students in the class.

of those students, 11 are boys...

11/20 = 0.55 = 55% <== so 55% are boys

You had planned to go out for pizza with your friends Saturday night. You’ve all gathered at your place but when you’re about to leave, it starts to snow heavily, so you decide to have a pizza party at your place. The pizza delivery guy shows up with your order much sooner than you expected. The bill is $133.32. How much would you tip him? Explain your reasons for deciding how much to tip.

Answers

Answer:

$20

Step-by-step explanation:

the delivery guy show up early and that guy deserve 20bucks

Other Questions
help plezz if u can 1. What occurs in the nonliving part of the water cycle? 2. What happens to this precipitation? 3. What occurs in the living part of the water cycle? 4. What is transpiration? Which graph shows the result of dilating this figure by a factor of 4 about the origin? In an email to a friend, you are telling him/her what all is going on at your house. solve the equation 2y + 5x = 4 for ypls help How do family and culture make you the person that you are? Should we celebrate Columbus day or indigenous Peoples day? What is the name of the international professional soccer championship? SuperbowlNCAA TournamentWorld Cup Whats the equation of the line? a boy and a girl are pulling a heavy crate at the same time with 7 units of force each what is the net force on the object is the object balanced or unbalanced PLZ HELP ME! 30 POINTS! WILL CHOOSE BRAINLIEST!It can be challenging to stay motivated when learning from home. One strategy to stay focused on your school work is to use intrinsic and extrinsic motivation. Brainstorm some ways you can keep yourself motivated during virtual learning.Below: List at least three strategies each for intrinsic and extrinsic motivation. How does Sedaris characterize the teacher? Is she intentionally cruel, an effective teacher, an overly strict disciplinarian? Refer to specific details and passages from the essay to explain your response. You run from your house to the grocery store in 1.0 minute, and the store is 300 meters from your house. What is your average speed in meters per second for the trip? Bond Industries uses departmental overhead rates to allocate its manufacturing overhead to jobs. The company has two departments: Assembly and Sanding. The Assembly Department uses a departmental overhead rate of $20 per machine hour, while the Sanding Department uses a departmental overhead rate of $15 per direct labor hour. Job 542 used the following direct labor hours and machine hours in the two departments: Actual results Assembly Department Sanding Department Direct labor hours used 4 3 Machine hours used 9 5 The cost for direct labor is $25 per direct labor hour and the cost of the direct materials used by Job 542 is $1,200. What was the total cost of Job 542 if Bond Industries used the departmental overhead rates to allocate manufacturing overhead Vice Presidential Debate1. Who do you think won the debate?2. Why? impressionistic art represnts the ____ of an era describe how the temperature changes as you travel through earths atmosphere What is the GCF OR 24 and 34 Find the slope of the following line containing the following points (4,5) and (11,33) WHAT PREPARATIONS WOULD COUNTRIES WITHIN THE RING OF FIRE HAVE TO TAKE TO DEAL WITH THESE PHYSICAL PROCESSES SUCH AS EARTHQUAKES, VOLCANOES, AND TSUNAMIS? the atomic number of an element is equal to the