Find an equation of the line having the given slope and containing the given point.
Slope is -2
Line through (5, -6)

Answers

Answer 1

Answer:

y = -2x + 4  

Step-by-step explanation:

Pre-Solving

We are given that a line has a slope (m) of -2 and passes through (5, -6).

We want to write the equation of the line.

There are three ways to write the equation of the line:

Slope-intercept form, which is y=mx+b, where m is the slope and b the value of y at the y-intercept.Standard form, which is ax+by=c, where a, b, and c are free integer coefficients. Point-slope form, which is [tex]y-y_1=m(x-x_1)[/tex], where m is the slope and [tex](x_1,y_1)[/tex] is a point.

Any of these forms will work, however let's put it into slope-intercept form as that is the most common way.

Solving

As we are already given the slope, we can immediately plug that into the equation.

Substitute m with -2.

y = -2x + b

Now, we need to solve for b.

As the equation passes through (5, -6), we can use its values to help solve for b.

Substitute 5 as x and -6 as y.

-6 = -2(5) + b

Multiply.

-6 = -10 + b

Add 10 to both sides.

4 = b

Substitute 4 as b.

y = -2x + 4  


Related Questions

Please help me


6=m-7/8

Answers

Answer:

m=55

Step-by-step explanation:

.....

Answer:

do u want it in decimal or fraction? or exact?

Find the indicated probability. The age distribution of students at a community college is given below. Age (years) Number of students (f) 1109​ A student from the community college is selected at random. Find the probability that the student is at least 31. Round your answer to three decimal places.

Answers

Answer:

0.063 is the probability of at least 31 students.

Step-by-step explanation:

Solution:

Given:

The age distribution of students  is given below:

Age (years) Number of students

Under  21                    414

21 - 25                         413

26 - 30                        212

31 - 35                        50

0ver 35                     20

total                         1109

A student from community college is selected at random.

The ratio  of favorable outcomes numbers of that event is the probability of  to the total number of possible outcomes in experiment.

Probability of at least 31 students:

Probability of At least 31 students = 31 or more than 31 students

P( 31 – 35) = n (31 – 35) + n (over 35) / n(T)

= 50 + 20 / 1109

= 70 / 1109

= 0.063

0.063 is the probability of at least 31 students.

How many vertices does the polyhedron have?

12
15
20
30

Answers

Answer:20

Step-by-step explanation:

solids quiz edg 2021

The number vertices does the polyhedron have is 20.

What is Polyhedron?

A polyhedron is a three-dimensional structure in geometry that has flat, polygonal faces, edges that are straight, and sharp vertices. A convex polyhedron is made up of finitely many points that are not all on the same plane and has a convex hull. Convex polyhedra include shapes like cubes and pyramids.

Using Euler formula

F + V = E + 2

As, From the figure the faces = 7 and edges = 30

12 + V = 30 + 2

12 + V = 32

V = 32- 12

V= 20

Learn more about Polyhedron here:

https://brainly.com/question/28718923

#SPJ6

Please help me answer this question

Answers

Answer:

68 degree angle

Trenton has already solved 8 math problems in 30 minutes. His math challenge book has 175 problems. He plans to work for 45 minutes per day until he finishes every problem. At this rate, how many days before he finishes all of the problems?

Answers

Answer:

It will take him 15 days before all of the math problems finish.

Step-by-step explanation:

8 ÷ 3 = 0.266666667

8 math problem ÷ 30 minutes = math problems per minutes

0.266666667  X 45 = 12

math problems per minute X 45 Minutes = math problems per day

175 ÷ 12 = 14.5833333

math problems per day ÷ math problem = days

find the area of the figure

Answers

Answer:

165

Step-by-step explanation:

sorry if wrong - pls mark brainliest <3

HELPP PLEASEEEEE:((((

Answers

Answer:

a

Step-by-step explanation:

It's a constant slope

Answer:

D is the Answer

Step-by-step explanation:

Solve the expression 5(9y + x) if x = 3 and y = 1/3 *

Answers

Answer:

Your answer is going to be 30

Step-by-step explanation:

5(9y+x)=

5((9)(1/3)+3)=

5(3+3)=

5(6)=

30

According to the 2010 census, 4.0% of U.S. households were multigenerational (containing at least three generations: grandparents, parents, and children). A more recent study found that among 580 U.S. households surveyed, 28 were multigenerational. Does this study provide strong enough evidence to conclude that the percentage of multigenerational households has changed

Answers

Answer:

We know that at  CI of 90% the new study provide evidence to claim that the porcentage of multigenerational households has not change

Step-by-step explanation:

To use Normal Distribution as an approximation of the binomial distribution

and develop a test of proportion we look at the products:

n*p      and  n*q     in the sample

p = 28/580    p = 0,04827    then  q = 0,95173

and     n*p = 580*0,04827 = 27,99 > 5

           n*q = 580*0,95173 =  552 > 5

Hypothesis Test:

p₀ = 4 %   p₀ = 0,04

sample size n = 580

p sample proportion mean   p = 0,04

Chossing a confidence Interval  CI = 90 %   then  α = 10%  α  = 0,1

α/2 = 0,05   and  z(score) = 1,64     z (c) = 1,64

The test is a doble tail test since the question is about difference between the study and the past census

Null Hypothesis                     H₀             p =  p₀

Alternative Hypothesis         Hₐ             p ≠ p₀

To calculate z(statistics) z(s)

z(s) = ( p - p₀ ) / √ p*q/n

z(s) = ( 0,04827 - 0,04 ) * √580 / √0,04827*0,95173

z(s) = 0,00827*24,08/ √0,04594

z(s) = 0,1991/ 0,2143

z(s) = 0,929

Comparing z(s) and z(c)

z(s) < z(c)      ;    0,929  < 1,64

Therefore at CI 90% we accept H₀  since z(s) is in the acceptance region

Eighteen less than 9 times a number is the same as 22 more than the number.​

Answers

Answer:

5

Step-by-step explanation:

9n - 18 = 22 + n

8n = 40

n = 5

Graph the equation X=3 and y= -8

Answers

Answer:

Although I don't graph it myself, you can simply do it yourself. For the graph of x = 3, all you need is a vertical line a x = 3, likewise, for y = -8, all you need to do is draw a horizontal line at y = -8.

Hope this helped!

Answer:

y=8/3x-3 and Y intercept of -3

HELP ME PLZ IM SO STRESSED UGH IM CHOOSING BRAINLEST !!!!!!!!!!!!!!!! ONLY IF U GET IT RIGHT

Answers

What’s the question???? I don’t see the question???

♪LOOK AT THIS GRAPH♪

*A W K W A R D P A U S E*

Carrie has 140 coins.she has 10 times as many coins as she had las month.how many coins did carrie have las month?

Answers

Answer:

14

Step-by-step explanation:

140/10=14

14 (if I’m interpreting this correctly)

A card is drawn at random from a standard 52-card deck. Find the probability that the card is an ace or not a club.

Answers

Answer:

0.7692077

Step-by-step explanation:

Number of cards in a standard deck = 52

Number of aces in a standard deck = 4

Number of clubs in a standard deck = 13

Probability = required outcome / Total possible outcomes

P(ace) = 4 / 52 = 0.0769

P(club) = 13 / 52 = 1/4 = 0.25

P(not club) = 1 - p(club) = 1 - 0.25 = 0.75

P(ace and not club) = 3/52 = 0.0576923

P(ace or not club) = p(ace) + p(not club) - p(ace and not club

= 0.0769 + 0.75 - 0.0576923

= 0.7692077

which 2 fractions are equal to 2

Answers

Answer:

Procedure:To find equivalent fractions, multiply the numerator AND denominator by the same nonzero whole number. This procedure is used to solve example 4. You can multiply the numerator and the denominator of a fraction by any nonzero whole number, as long as you multiply both by the same whole number

Step-by-step explanation:

Jamal read 1/11 of a book in 2/5 of an hour at this rate how long will it take him to read the entire book?

Answers

Answer:

264 minutes OR  4.4 hours OR 4 hours and 24 minutes (all the same)

Step-by-step explanation:

if he takes 2/5 of an hour to read the 1/11 of the book, he takes 24 minutes to read 1/11 of the book.

24 * 11 is 264.

Therefore he will take 264 minutes to finish the entire book.

HELP NOW ASAP WILL MARK THE BRAINLESST

Answers

Answer:

42,676

Multiply the 7 with the 8, then the 0, and then the 9. After that, Do the same but with the 4. Once you have those integers add them together and that should give you this answer.

Answer:

42676

Step-by-step explanation:

:)))))))))))))

72÷x=3.6÷0.015
Help me! I would give a good review!!! :D

Answers

Answer:

x = 0.3

Step-by-step explanation:

3.6 divided by 0.015 = 240

72 divided by 240 = 0.3

72 divided by 0.3 = 240

X = 0.3

Hope this helps!

72÷x=3.6÷0.015. The answer is x = 3/10

What is the factored form of 27d^6 + 8g^12 ​

Answers

Answer:

(3d^2+2g^4) x (9d^4 - 6d^2 g^4 + 4g^8)

that is the factored form hope it helps

Answer:

Answer: B

Step-by-step explanation:

Wendy has $50. She wants to buy a book that costs $26.50 and a bag that
costs $19.50. The sales tax in her state is 6%. Does Wendy have enough
money to buy the book and the bag? If so, how much money does she
have left? If not, how much more money does she need?

Answers

Answer:

Wendy has enough to buy the bag with $1.24

Step-by-step explanation:

She is buying $46 worth of clothes times 6% sales tax is $2.76.

add and you will find she is paying $48.76

I need help real badly. I struggle with math and need help ASAP​

Answers

Answer:

The answer will bw 440.

Step-by-step explanation:

So what you do is rewrite...

330÷3/4

Then add a 1 at the bottom.

Then you need to divide, but to divide with the fraction you need to get the reciprocal.

330/1 multiply 4/3

And then you will need to simplify and then done.

I need the answer for this :/

Answers

45 maybe sorry if you get this wrong it was just a guess

You commute to school my walking and by riding the bus. The graph represents your commute

A. Describe your commute in words

B. Caculate the slopes of the different parts of the graph

Answers

Answer:

A. You commute to school by walking 0.5 mile to the bus stop in 10 minutes, then waiting 4 minutes for the bus, then riding the bus for 2 miles in 4 minutes.

B. The slope of the first part (walking) is 0.05

The slope of the second part (waiting) is 0.

The slope of the third part (riding the bus) is 0.5

Step-by-step explanation:

From the graph, you can see that a distance of 0.5 mile was covered in the first 10 minutes of commuting. This means that you walked 0.5 mile for 10 minutes to where you want to wait to board a bus.

Then you spent another 4 minutes in waiting for the bus (14 - 10 = 10), while remaining on the same location. No distance was covered during this time spent, as we can see, the slope is horizontal.

You later got a bus, which travelled, 2 miles (2.5 - 0.5 = 2 miles), from where you boarded the bus to your final destination for a period of 4 minutes (18 - 14 = 4 mins).

In simple terms you can describe your commute as follows:

You commute to school by walking 0.5 mile to the bus stop in 10 minutes, then waiting 4 minutes for the bus, then riding the bus for 2 miles in 4 minutes.

B. Slope = rise/run

Therefore:

The slope of the first part (walking) is [tex] \frac{0.5}{10} = 0.05 [/tex].

The slope of the second part (waiting) is 0. (slope of horizontal line is always 0)

The slope of the third part (riding the bus) is [tex] \frac{2}{4} = 0.5 [/tex].

Solve the following system of equations: 5x + y = 9 3x + 2y = 4 A (−2, 5) B (1, 4) C (2, −1) D (4, −4)

Answers

(2,-1)

Y = -5x + 9

Sub for y in second formula

3x + 2(-5x + 9) = 4

3x -10x + 18 = 4

-7x = -14
X = 2

Sub into original equation

Y = -5(2) + 9
Y = -1

The profits of two different clothing factories can be modeled as shown, where
s


is the number of shirts produced at each factory.



Factory A:
−0.06s2+43s−1600
Factory B:
−0.04x2+32x−1500




a. Write a polynomial that represents the difference in the profits at the two plants.

Answers

Note: It should be s instead of x in profit of factory B.

Given:

Consider the profits of two different clothing factories can be modeled as shown, where  s  is the number of shirts produced at each factory.

Factory A : [tex]-0.06s^2+43s-1600[/tex]

Factory B : [tex]-0.04s^2+32s-1500[/tex]

To find:

The polynomial that represents the difference in the profits at the two plants.

Solution:

Let,

Factory A : [tex]P_1=-0.06s^2+43s-1600[/tex]

Factory B : [tex]P_2=-0.04s^2+32s-1500[/tex]

Difference in the profits at the two plants is

[tex]Difference= P_1-P_2[/tex]

[tex]Difference= -0.06s^2+43s-1600-(-0.04s^2+32s-1500)[/tex]

[tex]Difference= -0.06s^2+43s-1600+0.04s^2-32s+1500[/tex]

[tex]Difference= (-0.06s^2+0.04s^2)+(43s-32s)+(-1600+1500)[/tex]

[tex]Difference= -0.02s^2+11s-100[/tex]

Therefore, the required expression is [tex]-0.02s^2+11s-100[/tex].

BS my teacher asked of me

Answers

Answer:

[tex]1. \: = d .\\ 2. \: = e.\\ 3. \: = a. \\ 4. \: =c .\\ 5. \: = b.[/tex]

Step-by-step explanation:

[tex]

1. \: ST =PQ = 7 \: m. \\ \\ 2. \: SU = PR = 8 \: m. \\ \\ 3. \: m\angle \: R = 180 - (m \angle \: P + m \angle Q) \\but \:m \angle Q = m \angle T \\ m\angle \: R = 180 - 59 + 75 \: (sum \: of \: angles) \\ m\angle \: R = 46. \\ \\ 4. \: m \angle Q = m \angle T = 75. \\ \\ 5. \: m \angle S =m \angle P = 59.[/tex]

♨Rage♨

Answer:

1. d

2. e

3. a

4. c

5. b

Step-by-step explanation:

Angle ST is equal to 7m, because it is the same length as the bottom of the other triangle.

Angle SU is equal to 8m, as we see on the left side of the first triangle.

m < R is equal to 46, because of the total.

m < Q is equal to 75 because of the measure inside the second triangle.

m < 5 is equal to 59 because of the measure inside the first triangle.

Hope this helps you!

find the product of 14/8 and 4/5 then simplify
full solution​

Answers

14/8 * 4/5 = 56/40 = 7/5

In a certain communications system, there is an average of 1 transmission error per 10 seconds. Let the distribution of transmission errors be Poisson. What is the probability of more than 1 error in a communication one-half minute in duration

Answers

You didn’t give enough info with this hunnn , sorry but if you give info i could defiantly help u

Item 8 A container has peppermint gum and spearmint gum. There are 40 pieces of peppermint gum in the container and the ratio of peppermint gum to spearmint gum is 5 : 2. Find the number of pieces of spearmint gum in the container.

Answers

Answer:

16.

Step-by-step explanation:

Divide 40 by 5 (or what times five equals 40),  equals 8. 2 (the ratio of spearmint gum) times 8 equals 16. There is 16 pieces of spearmint gum.

graph x-3y=6 using the intercept method. ​

Answers

I just put the equation into desmos, I’m not sure if this is what you were looking for but hope it helps.
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