A line passes through the point (-6,9) and has a slope of 3/2. Write an equation in slope-intercept form for this line.

Answers

Answer 1

Answer:

y=3/2x+18

Step-by-step explanation:

Hi there!

We are given a point (-6,9) and a slope of 3/2

We want to write the equation of this line in slope-intercept form

Slope-intercept form is written as y=mx+b, where m is the slope and b is the y intercept

Since we already know the slope of the line as 3/2, we can substitute it as m into the equation:

y=3/2x+b

Now let's find  b

Since the equation of the line passes through (-6,9), we can use it to help solve for b

Substitute -6 as x and 9 as y:

9=3/2(-6)+b

Multiply

9=-9+b

Add 9 to both sides

18=b

Substitute 18 as b into the equation.

y=3/2x+18

Hope this helps!


Related Questions

A single basket basketball match will be organized by forming 3 teams in equal numbers from a group of 9 students. In how many ways can these three teams be formed?

Answers

~combination

[tex] \large \sf C(n,r) = \frac{n!}{(n-r)! .r!} [/tex]

[tex] \large \sf = C(9,3) = \frac{9!}{(9-3)!.3!} [/tex]

[tex] \large \sf = \frac{9!}{6!.3!} [/tex]

[tex] \large \sf= \frac{(9.8.7.6.5.4.3.2.1)}{(6.5.4.3.2.1).(3.2.1)} [/tex]

[tex] \large \sf = \frac{362880}{720.6} [/tex]

[tex] \large \sf = \frac{362880}{4320} [/tex]

[tex] \large \sf = \boxed{84}\: ✓[/tex]

~ nice to help you ^^

Which of the following best describes the solution to the equation below? 8x + 4 = 8x + 4

Answers

Answer:

infinite number of solutions

Step-by-step explanation:

8x + 4 = 8x + 4

Since the expressions on both sides are the same then any value of x will make the equation true.

That is the equation has an infinite number of solutions

what is the value of (1/16)^-1/4

Answers

Answer:

4^-5

Step-by-step explanation:

(1/16)^-1/4

(1/4)^4-1/4

4^-4-4^-1

4^-5

When surrounded by smaller circles, a center circle will appear ________ than if surrounded by larger circles.

Answers

Larger
Extra characters for posting answer

When surrounded by smaller circles, a center circle will appear larger than if surrounded by larger circles.

Perception

Perception is the collection of processes in the brain that interpret information from the senses as objects, events, written and spoken words, and so on.

Not only sensory impressions are perceived; for example thoughts and feelings are perceived too.

Learn more about perception in https://brainly.com/question/7337201

Can someone tell me the answer and how did you get it please !!!

Answers

Answer:

17.5

Step-by-step explanation:

180-110=70

70/4=17.5

Answer:

x=17.5

Step-by-step explanation:

Because a straight line is 180 degrees, subtract 110 from 180:

180-110= 70

Then divide 70 by 4:

70/4= 17.5

Hope this helps! :)

Enter the numbers in order from greatest to least,
- 14.6, -2.7, -10
please help!!

Answers

Answer:

-2.7, -10, -14.6

Step-by-step explanation:

Help please quick I don’t understand this stuff

Answers

Hello,

(i) Express n as the subject.

[tex]C=\frac{nA}{n+12}[/tex]

[tex]C(n+12) = nA\\nC + 12C = nA\\\frac{nC+12C}{n}=\frac{nA}{n} \\\frac{nC}{n}+\frac{12C}{n} = A \\\frac{12C}{n} =A-C\\\frac{n}{12C}=\frac{1}{A-C} \\n = \frac{12C}{A-C}[/tex]

(ii)

Since C = 6 mL and n = 8 we need to solve this equation of unknown A :

[tex]6 = \frac{8A}{8+12} \\6 = \frac{8A}{20}\\8A = 20*6\\A = \frac{5*4*2*3}{4*2}\\A = 15[/tex]

Thus, the equivalent adult dosage A would be 15 mL

(iii) I let you think about this one

Good Luck

notah decides to buy a new phone.He pays $ up front and then will pay the same amount each month for 8 months.The total cost of the phone is $600.How much will Notah pay each month?

Answers

Answer:

75 dollars a month

Step-by-step explanation:

To find The amount we need to divide 600 by 8 which gives us 75

Answer:

75

Step-by-step explanation:

600 divided by 75 = 8 so his rent fee will be 75 a month

The value of x varies directly with y, and when x=1/3,y=5

Answers

Answer: y = 36x

Step-by-step explanation: Given that x and y vary directly then the equation relating the is

y = kx ← k is the constant of variation

To find k use the condition x = , y = 12, then

k =  =  = 12 × 3 = 36

y = 36x ← equation of variation

What is the probability that out of 125 babies born, at least 50 will be girls?
Assume that boys and girls are equally probable, and round your answer to the nearest tenth of a percent.
A. 70.4%
B. 99.0%
C. 10.5%
D. 51.2%

Answers

You're answer would be 99.0%.

Kyra went to the grocery store on Monday and bought 5 apples and 2 oranges for a total of $3.45. On Thursday she bought 3 oranges and 7 apples for a total of $4.90. what is the total cost of the apple for two days ?

Answers

Answer: $6.60

Hope this helps

What is the equivalent expression to 0.18 - 22/49

Answers

Answer: -695/2450 or -0.26898
Explanation:

if 2 pints of milk cost £ 1.40, how much will 7 pints of milk cost​

Answers

Answer:

£4.9

Step-by-step explanation:

1.40 x 3 = 4.2

1.40/2=.7

4.2+.7= £4.9

Amrit's income is 32% more than Bethan's income.
Amrit and Bethan's combined income is £54868.
Calculate Amrit's income.

Answers

Answer:

Based on the given conditions, formulate:  

Reduce the fraction:

get the result:

Answer:

Step-by-step explanation:

The Amrit's income is £27434.16.

It is required to find the

What is arithmetic?

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.

Given:

Let the Bethan's income be x

Amrit's income is 32% more than Bethan's income.

So, Amrit's income=x+32%

Amrit and Bethan's combined income is £54868.

According to given question we have

x+x+32%=£54868

2x+32/100=£54868

2x=54868-0.32

2x=54867.68

x=27433.84

Bethan's income=£ 27433.84

Amrit's income

=x+32%

=£ 27433.84+0.32

=£27434.16

Therefore, the Amrit's income is £27434.16.

Learn more details about arithmetic here:

https://brainly.com/question/11559160

#SPJ2

is the negative square root 400 rational or irrational

Answers

Answer:

Step-by-step explanation:

Rational

Answer:

Rational

Step-by-step explanation:

20 x 20 is 400 so 20 is a rational number

Five numbers with mean 4, mode 3, and range 9

Answers

Answer:

6,6,6,6,6

Step-by-step explanation:

You’d have to have an odd number of 6s and more than one, so either 3 or 6 of the numbers will have to be 6s

6, 6, 6, 6, 6

5, 6, 6, 6, 7 (the 5 and 7 could be replaced by 4/8, 3/9, 2/10, or 1/11 - as long as balance is preserved)

5x+2y=10

slope=________

y-intercept=_________

y=x

slope=________

y-intercept=_________

Answers

Answer:

A)  -5/2 and 5

B) 1 and 0

Step-by-step explanation:

y=mx+b is the standard form:  m is the slope and b is the y-intercept.

5x+2y=10

y = -(5/2)x + 5  [Rearrange to standard format]

slope__-5/2__  

y-intercept__5___

===========

y=x

Slope = 1

Y-intercept = 0

A rectangular briefcase is 16 1/2 inches wide, 12 3/4 inches tall, and 5 inches deep. What is the volume of the briefcase?




please help i will mark as brainlyst ​

Answers

Volume:
= 0.015731581440188783 cubic meters
= 15731.581440188782 cubic centimeters (cc or ml)
= 0.020576131668427984 cubic yards
= 0.5555555555555558 cubic feet
= 959.9999999999999 cubic inches

Answer: 1051.875 inches^3

Step-by-step explanation:

To find the volume of the briefcase, we'll use the formula: L*W*H where;

L = Length

W = Width

H = Height

So we'll have (16.5×12.75×5) inches^3

Which will give 1051.875 inches^3

6th attempt on posting this question and getting an answer :,)

Help haha..?

Answers

Answer:

GCF: (x + 2)(9x + 6)

Step-by-step explanation:

Given the algebraic expression, 9x(x + 2) + 6(x + 2), where the greatest common factor (GCF) must be taken out:

Solution:

Since (x + 2) are common between the two groups, then we can group 9x and 6 together.

In other words:

= 9x(x + 2) + 6(x + 2)  

= (9x + 6)(x + 2)

If we perform the FOIL method onto (9x + 6)(x + 2), it will result in the following trinomial:

(9x + 6)(x + 2)

= 9x² + 18x + 6x + 12

= 9x² + 24x + 12

Verify Solution:

In order to see why this works, let's go back to the original problem, as if we're trying to determine the resulting trinomial:

Given:  9x(x + 2) + 6(x + 2)  

Distribute 9x and 6 into the parenthesis:

= 9x² + 18x + 6x + 12

Combine like terms:

= 9x² + 24x + 12    ⇒ As we can see, this trinomial matches our solution.

Therefore, the correct answer is: (x + 2)(9x + 6).  

4 people can trim a hedge in one hour.
How long would it take 3 people?
Give your answer in minutes.

Answers

4 people in 60 minutes =
1 person in 15 minutes

3 people = 45 minutes

Answer:

The total time taken by 3 men to trim the hedge would be 80 minutes.

Step-by-step explanation:

1) The time taken by 4 men to trim the hedge is 1 hour or 60 min.

2) One me would take 4 times more time alone i.e. Time taken by only one man would be 4 hours or 240 min.

3) The time taken by 3 men would be 3 times less than time taken by one man i.e. 240/3=80 min.

#of people = 4

time taken for 4 ppl = 1hr / 60mins  

# of people = 3

time taken = 1/x

4 - 1/60

3 - 1/x

cross multiply

x=60/3*4

x=80

hope this helps :)

mark me brainliest :D

solve by factoring x^2+5-14=0

Answers

Answer:

Factored -> (x+7)(x-2)

Step-by-step explanation:

If you are solving for x then its x= -7, x=2

6)$$;6?6?6?6gvhxhtfi

If x= √3, find the value of x⁴.​

Answers

Answer:

9

Step-by-step explanation:

Hi there!

We're given that x=√3, and we want to find the value of [tex]x^4[/tex]

We can substitute √3 as x, and then raise it to the 4th power, but if you don't know what that number is, it might be difficult to figure it out.

An easier way would be to write [tex]x^4[/tex] as x² * x², which in that case, we can multiply √3 by itself, multiply √3 by itself again, and then multiply those 2 numbers together.

If we do it this way, it'll look something like this (remember: x² is equal to x*x, or (x)²:

(√3)² * (√3)²

The order of operations will ask us to first take care of what's in the parentheses, and then to raise the numbers to their powers. Starting with the number on the left of the multiplication sign,

(√3)² = (√3)(√3)=3

And then the number on the right of the multiplication sign:

(√3)² = (√3)(√3)=3

Substitute these numbers in as (√3)² and (√3)²:

3 * 3 = 9

Therefore, x² * x², or [tex]x^4[/tex] is equal to 9

Hope this helps!

is this right ill give brainliest

Answers

Answer:

1. 3rd

2. 3rd

3. 1st

4. 1st

Answer:

no

Step-by-step explanation:

1. is right

2. is third-person

3. is right

4. is right

Perform the indicated operation.
-274 -9
I need help

Answers

ItxAlex

Hope It Helps

A L E X

Answer:

-274 or just 274? I can't tell if u put "-" to pinpoint the question or if it's a negative number

I need help please

Which value is the closest to
0.9 • 997

a. 1,000
b. 81
c. 10,000
d. 10

Answer with supporting work:

Answers

It is A. 1000

Explanation: 0.9 x 997 equals to 897.3
897.3 rounds to 900 which is close to 1000 so it is that

Solve for x.

0.6x = 4.8

Enter your answer in the box.

x =

Answers

Answer:

x= 8

What I Did:

First I turned them into whole number so I turned 0.6 into 6 and 4.8 into 48

Then I divided 48 by 6 which was 8

You can also add 0.6 as many times until you get to 4.8 but then you're just wasting time.

Answer: x = 8

Step-by-step explanation:

in what time is sum of money triples itself at 5%p.a​

Answers

Answer:

Step-by-step explanation:

40 years

are the lines in the figure parallel, perpendicular, or neither?

Answers

Answer:

Perpendicular

Step-by-step explanation:

perpindicular

Step-by-step explanation:

Perpindicular has multiple sides and has a 90 degree plane

What are the variables in the equation 2x - 10 + 5y?

Answers

A variable is a letter, usually in an equation or expression, that represents a number. In this expression, x and y are the variables.

PLS HELP ASAP THANKS ILL GIVE BRAINLKEST THANKS

Answers

Answer:

The Forth Answer

Step-by-step explanation:

I Think That Is correct

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