Write the equation in slope-intercept form for the line that passes through (5, 4) and (6,-1).
SHOW YOUR WORK​

Answers

Answer 1

Answer:

y = -5x + 29

Step-by-step explanation:

Slope-Intercept Form of the Line

Given a line of slope m and y-intercept b, the equation of the line can be written as:

y = mx + b

The slope can be calculated by using the formula:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Where (x1,y1) and (x2,y2) are the points through which the line passes.

We are given the points (5,4) and (6,-1), thus:

[tex]\displaystyle m=\frac{-1-4}{6-5}=\frac{-5}{1}=-5[/tex]

Now we use one of the points to find the value of b, for example (5,4):

4 = -5(5) + b

b = 25+4 = 29

Thus, the equation of the line is:

y = -5x + 29


Related Questions

I NEED HELP!
The area of a rectangle is 12a^2 - a - 6 square inches. The width is 4a - 3inches. What is the length. Show your work.

Answers

Answer:

The length of rectangle is (3a+2).

Solve for the value of X.
-4x + 3 = 35

Answers

Answer:

-8

Step-by-step explanation:

please give the right answer and help, i’ll give brainliest❤️

Answers

Answer:

3:4

Step-by-step explanation:

Answer:

9 to 8

Step-by-step explanation:

plz answer i will thank you and brainliest u

Answers

Answer:

15

Step-by-step explanation:

The amount of water displacement would be equivalent to the volume of the rock, which is 1800. We find this by doing 10 x 12 which is 120. Now we can divide 1800 by 120, which is 15. Giving us the dimensions 10 x 12 x 15.

The fairs train ride covers a distance of 3 miles in 20 minutes what is the speed for the ride in miles per hour?

Answers

Answer:

20/60=1/3

R= d/t

R=3/ [tex]1/3[/tex]

R=9

Step-by-step explanation:

Steven earns extra money babysitting. He charges $37.00 for 4 hours and $55.50 for 6 hours. Enter an equation to represent the relationship. Let x represent the number of hours Steven babysits and y represent the amount he charges.

Answers

37+4x=55.50+6x....zzz

Answer:

Step-by-step explanation:

3.2

The diameter of a circle is 9 feet. Find the radius.

Answers

Answer:

4.5

Step-by-step explanation:

Diameter is equal to 2r. In other words, to find radius from the diameter, you divide the diameter by two. In this case, its 9/2. That gives you 4.5

Answer:

4 1/2 feet

Step-by-step explanation:

The radius fo the circle is half of the diameter so 4 1/2 Feet.

Solve the system of equations

y = 5x + 32
y = -4x - 22

a. (6, 2)
b. ( -6, -2)
c. ( -6, 2) (correct)
d. No solution

Answers

Answer:

Option c is right:

(-6 , 2)

Step-by-step explanation:

( -6 , 2)

someone please do this and explain in detail of how you get x.

Answers

Answer:

x=8

AC=148

Step-by-step explanation:

Okay so if B is the midpoint of AC, that basically means that it's the halfway point. If B is exactly halfway between A and C, that means that the distance between A and B, and the distance between B and C is the same. In other words: AB=BC

Knowing that AB=BC, we can sub the values given by the question:

AB = BC

9x+2 = 5x+34

9x-5x = 34-2

4x = 32

x = 8

Now that we know the value of x, we can find AC, since AC=AB+BC

AC = AB + BC

= 9x+2 + 5x+34

= 14x+36

= 14(8)+36

=112+36

=148

Mr. Jones charged Roberta $32 for parts and $15 per hour for labor to repair her bicycle. He spent 3 hours repairing her bike. Which expression would be used to correctly calculate the amount Roberta owes him?

Answers

Answer:

The expression T = 15*3 + 32  could be used to correctly calculate the amount Roberta owes Mr. Jones

Step-by-step explanation:

Given that:

Amount charged for parts = $32

Per hour labor = $15

Time spent on repairing = 3 hours

Total amount = Per hour labor * Number of hours + Amount of parts

T = 15*3 + 32

Hence,

The expression T = 15*3 + 32  could be used to correctly calculate the amount Roberta owes Mr. Jones

Answered que aca ases copiando Jsjs NO ERES EL UNICO COPION the daria la respuesta pero no me la set ni yo

Step-by-step explanation:

Suppose that a bike for $12 plus $ 1.60 per hour. What is the slope ?

Answers

Answer:

Slope = 1.60

Step-by-step explanation:

y = 1.60x + 12

$12 - This would be the y-intercept

$1.60 - slope since it is the amount needed to pay each hour.

Hope this helps!

70.544 +0.04 Round your answer​

Answers

Answer:

71

Step-by-step explanation:

70.544 + 0.04 = 70.584

Round to te nearest integer:

71

Step-by-step explanation:

[tex]70.544 + 0.04 = 70.584 = 70.6[/tex]

Round to nearest integer is 71

PLS I HAVE 10 min TO FINISH I NEED HELP WITH MATH

Answers

Answer:

B is the answer

Step-by-step explanation:

I worked it out

Fractions closer to 1 than to 0

Answers

Answer:

Fractions that are above 1/2 or 0.5

Step-by-step explanation:

A line is graphed below.
Write an equation in the form y = mx + b that represents this line

Answers

Answer:

y= -2x+ 3

Step-by-step explanation:

Lydia is buying a ring.
The ring costs £60
She pays a deposit of 40%.
Work out how much she pays as the deposit.

Answers

Answer: I believe it's £24

Step-by-step explanation: I suck at math so sorry if it's wrong.

A new factory is growing fast and hiring a lot of new workers. Every week, the total number of workers doubles in size. If it takes 18 weeks for the factory to be at full capacity, how many weeks would it take for the factory to be at half capacity?

Answers

Answer:

9 weeks

Step-by-step explanation:

divide the full capacity by 2 to get 9 because 9 x 2 is 18 and half of the full capacity would be half capacity

PLEASE HELP FAST!!!!!!

Answers

The answer is C ) 40

Step-by-step explanation:

40 %  = 16 boys

+ 40 % = 16 girls

+ 20 % = 8 girls

--------------------------

+ 60 %  = 24 Girls

--------------------------

24 + 16 = 40 students

Answer:

d

Step-by-step explanation:

The length of a rectangle is
2
meters less than
3
times the width. The perimeter is
44
meters. Find the width.

Answers

Answer:

They did not state exactly what the width or length is. So in this case, let's name the number of width to be x. And thus we can derive to the conclusion of,

Step-by-step explanation:

Width : x

Length : x-44 (from the 1st sentence of question)

So, We all know that a rectangle has 2 Lengths and 2 widths. So we can derive the conclusion that,

2(x)+2(x-44)=150150

2x+2x-88=150150

4x-88= 150150

4x= 150150+88=150238

4x=150238

x= 150238÷4

=37559.5

Answer:

The width is 8 meters and the length is 3(8)-2=22 meters. Hope this helps (owo)/ brainlist please.

Step-by-step explanation:

Let x= the width

then 3x-2= length (because the length is 2 meters less than 3 times the width)

P=2l+2w

60=2(lenght)+2(width)

60=2(3x-2)+2x      

60=6x-4+2x    Distribute

60=8x-4          Combine like terms

64=8x             Divide both sides by 8

8=x

True of False? The line of best fit can only represent data that has a linear association?

Answers

Answer:

True

Step-by-step explanation:

What is the area of the trapezoid?
Ignore that I've already marked an answer. That was on accident.​

Answers

C. 64

This is the answer

PLease do all this i will give brainiest

Answers

Answer:

The cost of 10 pens is $2.25.

You would have 30 hard boiled eggs.

You will need 18 hard boil eggs for 54 scrambled.

Step-by-step explanation:

Find the value of x if A, B, and C are collinear points and B is between A and C. AB=6x,BC=x−5,AC=23

Answers

Answer:

The value of x = 4 if A, B, and C are collinear points and B is between A and C.

Step-by-step explanation:

We need to find  the value of x if A, B, and C are collinear points and B is between A and C.

We have AB=6x,BC=x−5,AC=23

If points are collinear and B is between A and C we can write:

AC=AB+BC

Putting values and finding value of x

[tex]AC = AB+BC\\23=6x+x-5\\23=7x-5\\7x=23+5\\7x=28\\x=\frac{28}{7}\\x=4[/tex]

The value of x = 4 if A, B, and C are collinear points and B is between A and C.

A manufacturer considers his production process to be out of control when defects exceed 3.2%. In a random sample of 136 items, the defect rate is 8.7% but the manager claims that this is only a sample fluctuation and production is not really out of control. At the 10% level of significance, use the critical value method to test the manager's claim. Enter the test statistic. (Round your answer to nearest hundredth.) 1. Extract Information:
2. Original Claim:
3. Hypothesis
4. Distribution (Graphically);
6 Test Statistic
7. Statistical Conclusion
8. Final Words
5. Critical Value(s):
6.test statistics
7. statistical conclusion

Answers

Answer:

dsynyerjtetuegrjghdgfs

write the algebraic expression for: The length of a rectangle is 3 feet less than 4 times its width.​

Answers

Length = 4w - 3
Width = w

Answer:

Perimeter (P) is: 48

Problem to solve:

48=2(2x+3)+2(x)

48=4x+6+2x

48=6x+6

48-6=6x+6-6

42=6x

42/6=6x/6

7=x

Step-by-step explanation:

The length of a rectangle is 3 more than twice its width. The perimeter is 48 feet. Find the width. Hint: You did this in Module 3 Assignment 5. Now you have to write the equation and solve it.

a. 16

highlight%28b%29. 7

c. 8

d. 21

e. 24

:

Formula for the perimeter of a rectangle is: highlight%28P=2L%2B2W%29, P is perimeter, L is length, W is width.

Let Width (W) be:x

Then length (L)is: 2x+3

Find the value of each variable in the parallelogram.

Answers

Answer:

u = 4; v = 18

because this is a parallelogram

=> 2u + 2 = 5u - 10

6 = v/3

<=> 3u = 12

v = 6.3

<=> u = 4

v = 18

Factor using the magic X method:

x^2 + 6x + 5

SHOW WORK!!!

Answers

find values that add to 5 and multiply to 6
so the answer would be (x+5)(x+1)

the average motorcycle weighs 32,000 grams. How many kilograms does the average motorcycle weigh?

Answers

Answer:

The average motorcycle would weigh 32 kilograms.

Step-by-step explanation:

1 kilogram = 1000 grams

so, to find how many kilograms a motorcycle is, we just need to divide the amount of grams by 1000

32,000 / 1000 = 32 kg

A state Motor Vehicle Department requires learners to pass a written test on the motor vehicle laws of the state. The exam consists of twenty true-or-false questions, of which eighteen must be answered correctly to qualify for a permit. In how many different ways can a learner who answers all the questions on the exam qualify for a permit

Answers

Answer:

211 ways

Step-by-step explanation:

Given :

Number of questions = 20

Number of correct correct questions to be answered in other to qualify should be atleast 18

Hence,

Correct questions could be either 18, 19 or 20 ;

Using combination :

nCr = n! ÷ (n-r)!r!

20C18 = 20! / (20 - 18)!18!

20C18 = (20* 19) / (2 * 1) = 190 ways

20C19 = 20! / (20-19)!19!

20C19 = 20 / 1 = 20 ways

20C20 = 20! / 0! 20! = 1 ways

Hence, total number of possible ways = (190 + 20 + 1) = 211 ways

if x is the first of two consecutive integers, express the sum of the two integers in terms of x

Answers

Answer:

2x+1

Step-by-step explanation:

x = 1st integer

x+1 = next consecutive integer

The sum is

x+ (x+1)

Combine like terms

2x+1

let the first integer be x and the second be x + 2

then the sum is x +x+2 = 2x +2

Other Questions
The author of the passage discusses "receptor fatigue" primarily in order to A. explain the physiological process through which long-lasting reductions in response are thought to be produced B. provide an example of a process that subjects would probably not experience during a prolonged period of odorant stimulation C. help illustrate how the information gathered from most olfactory research may not be sufficient to describe the effects of extended exposures to odors D. show how studies of short-term olfactory adaptation have only accounted for the reductions in response that follow relatively brief absences from an odorous environment E. qualify a statement about the severity and duration of the perceptual changes caused by exposure to chronically present ambient odors PLEASE HELP ME!!!The Ottoman Empire contributed indirectly to the start of World War IA) by Balkan calls for independence, which contributed to instability in the region.B) by its war with Austria-Hungary, which contributed to the breakup of the Triple Entente.C) by Germanys declaration of war on the empire, which spurred the race for more colonies.D) by its rapid industrialization, which brought an economic depression in Europe. Which of the following statements best represents a comparison of the two motions shown on the graph?A. the top line represents a greater accelerationB. the bottom line represents a greater accelerationC. the top line represents a greater velocityD. the bottom line represents a greater velocity what evidence is there of energy release after chemical reaction I need help with my French hw! Merci!! A cube has a side length of s meters. The volume of the cube isrepresented by the expression s^3. The volume of the cube is a functionof the side length. Does this situation represent a linear or nonlinearfunction? Explain. the numbers ofYou have a total of 10 coins consisting of nickels and dimes in your pocket. The value of the coins is $0.70. Write and solve a system of linear equations tonickels and dimes in your pocket. Let x represent the number of nickels and let y represent the number of dimes.System of equationsThere arenickels in your pocket anddimes in your pocket If we place 15 moles of NaN3, how manygrams of NaN3 do you have before thereaction? In Marbury v. Madison, the Supreme Court first stated the principle that (8.18a) A) Only the courts may regulate interstate commerce B) The president may veto federal legislation C) The courts may declare a federal law unconstitutional D) Only the president may issue an executive order describe the structures in and the functions of the the lymphatic system. include the major organs and how they work within the body system. what are the symptoms of a failure of this body system. can someone please answer meeee a tu pap; l tiene que manejar diez horas maana? Draw an ordered stem and leaf diagram to show this information.245, 250, 251, 253, 258, 264, 267, 269, 273, 276Key:2415 means You have a bag of 15 marbles. 8 are red. 5 are blue. 2 are green. If you pull out two marbles without replacement, what is the probability that one, but not both, of them, will be blue? a33.3% b57.1% c66.6%d47.6% Which of the following is most likely a potential hazard for hospital staff?A.the handling of violent patientsB.the handling of patient recordsC.training workers about sterilization proceduresD.purchasing medical supplies this question I do not understand .....someone please explain to me please I need it ASAP! Pls help :(((((((((( standard form two thousand, fifty seven and eighteen hundredths if thier is 24 hours in a day and the sky taste like watermelon then how many people would be born tommorow? Percent Problems20 out of 400 cars had a standard transmission. What percent of the carshad a standard transmission?