find the slope (m) and y -intercept (b) of the equation in standar form 2x-3y=6​

Answers

Answer 1

Answer:

m = [tex]\frac{2}{3}[/tex] , b = - 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

Given

2x - 3y = 6 ( subtract 2x from both sides )

- 3y = - 2x + 6 ( divide all terms by - 3 )

y = [tex]\frac{2}{3}[/tex] x - 2 ← in slope- intercept form

with slope m = [tex]\frac{2}{3}[/tex] and y- intercept b = - 2

Answer 2

Answer:

y- intercept is (0, -2)

slope is 2/3

Step-by-step explanation:

find 2 points on the line:

2x-3y=6

1/2*(6+3y) =x

if y is 2, x is 6 ((6,2))

if y is 4, x is 9 ((9, 4))

y-intercept is when x = 0.

0-3y=6

y=-2

slope is (y2-y1)/(x2-x1): choose y2 and the corresponding x-coordinate is x2. then the others are the 1's. let's use 4 as y2 which means:

x2 = 9

x1 = 6

y1 = 2

then plug in and solve.

(4-2)/(9-6)

= 2/3

m = 2/3

Hope this helps!


Related Questions

Please answer with two answers!

Answers

Answer:

C. Roanoke, Alexandria, Norfolk

Step-by-step explanation:

Lets expand all of the numbers

Alexandria 136,000

Norfolk 229,000

Roanoke 91,500

Using these number we can easily see that the order is "Roanoke, Alexandria, Norfolk"

I don't understand when you say "Please answer with two answers!" because only one answer is correct

The answer is C. And there’s only 1 answer that’s correct

Overview
Question Progress
Homework Progress
4/8 Marks

a)
Here are the ingredients needed to make 8 pancakes.
b)
250 ml milk
1 egg
140 g flour
5g butter
a) Simon makes 4 pancakes.
Work out how much milk he needs.
b)
Craig makes 12 pancakes.
Work out how much butter he needs.


Answers

Answer:

125ml of milk and 7.5g of butter

Simplify:
a) 3y - y
b) 69 + 4 - 9 +5

Answers

Answer:

a) 2y

b) 69

Step-by-step explanation:

A swim team has 31 swimmers. The total practice time for the team is 22,320 hours each season How many hours per season does each swimmer practice?​

Answers

Answer:

720

Step-by-step explanation:

22,320 divided by 31 is 720

Answer:

3 hours a day

Step-by-step explanation:

22,320-31-31-31-31-31-31-31-31-31-31-31 and way more

Please help me on this question. First to answer will be the brainliest :D

Solve for t.

6t - 7 = 7t

Answers

Answer:

t=−7

Step-by-step explanation:

FIRST

Simplify the ratio. 13−42−(−1) =

Answers

Answer:

-28

Step-by-step explanation:

Ava takes 4 breaths every 10 seconds during yoga. At this rate, how many breaths would Ava take in two minutes? *

Answers

Answer:

48

Step-by-step explanation:

It's given that Ava takes 4 breaths every 10 seconds.

4 breaths : 10 seconds. ...(1)

To solve this, first we need to calculate how many seconds there are in two minutes.

As 60 seconds make up one minute, 120 seconds make up two.

Now, to solve for the number of breaths (x), we just multiply (1) by 12. We do this so that we get 120 seconds on the right side, so the left side will give us the answer we need.

4 × 12 breaths : 10 × 12 seconds

48 breaths : 120 seconds.

So, the final answer would be 48 breaths.

Hope this helps! :D

can you put the negitive first then the positive please this is 22 points

Answers

B.c f.j e.h d.a i.g

Answer:

The answer should be ( D, J)

Step-by-step explanation:

I think this is right. this is from my understanding of the problem

Which is one characteristic of hurricanes?

occur mostly inland
create widespread damage
last for a short amount of time
gain strength after passing over land

Answers

Answer:

b

Step-by-step explanation:

Answer: B. Create widespread damage.

Step-by-step explanation: On Edge!!!!!!!!!!!

*PLEASE ANSWER, I DON"T GET IT*
Which compound inequalitiy represents the inequality |y – 3| − 4 ≤ −3?
a.) −1 ≤ y – 3 OR y – 3 ≤ 1
b.) y – 3 ≤ −1 AND y – 3 ≥ 1
c.) −1 ≤ y – 3 AND y – 3 ≤ 1
d.) y – 3 ≤ −1 OR y – 3 ≥ 1

Answers

The explanation is on the board if you have a question just comment

The compound inequality represents the given inequality is y-3≤1 OR -1≤y-3. Therefore, option A is the correct answer.

The given inequality is |y – 3| − 4 ≤ −3.

What is compound inequality?

A compound inequality is a sentence with two inequality statements joined either by the word “or” or by the word “and.” “And” indicates that both statements of the compound sentence are true at the same time. It is the overlap or intersection of the solution sets for the individual statements. “Or” indicates that, as long as either statement is true, the entire compound sentence is true. It is the combination or union of the solution sets for the individual statements.

Now, solve inequality |y – 3| − 4 ≤ −3.

Add 4 on both sides of the inequality.

That is, |y – 3| − 4+4 ≤ −3+4

y-3≤1 OR -1≤y-3

The compound inequality represents the given inequality is y-3≤1 OR -1≤y-3. Therefore, option A is the correct answer.

To learn more about compound inequality visit:

https://brainly.com/question/20296065.

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At the kennel, the ratio of cats to dogs is 4:5. There are 27 animals in all.
1. What is the value of each small rectangle?
2. How many dogs are at the kennel?
3. How many cats are at the kennel?

Please answer this ASAP!!! I will make you Brainliest!

Answers

Answer:

I don't know how to answer the first question

There are 15 dogs in the kennel

There are 12 cats in the kennel

Explanation:

If there is a 4 to 5 ratio then

12 cats to 15 dogs is linear

if you have 30 N force going left and a 10 N force going right, what is the force

Answers

Answer:

20 N

Step-by-step explanation:

Since, both the forces are acting in opposite directions.

Therefore,

[tex]Net \: Force = 30 \: N - 10 \: N \\ \\ = 20 \: N [/tex]

Answer:

20N

Step-by-step explanation:If you take the direction that the 30N force is acting in as positive, then since the 10N force acts in the opposite direction, the Net (resultant) force on the object is 20N. If the numbers were flipped, it would be -20N.

The first angle in a triangle is three times at the seconed angle.The seconed angle is two times that of the third angle. Finde the ratio of the angils


pleases help im soo stuck its middle school

Answers

6x:2x:x
Is your ratio.

Checking math:
6(2):2(2):2=
12:4:2

:)

PLEASE HELP
Determine which lines are parallel if any:
Line a passes through (-1, 1) and (1,3)
Line b passes through (3,4) and (0,2)
Line c passes through (0,1) and (3,3) *



line a and b
line b and c
line a and c
none are parallel

Answers

Answer:

b and c

Step-by-step explanation:

both slopes are 2/3

Find the quotient.
2x-3/x / 7/x^2

Answers

Answer:

x^3/7

Step-by-step explanation:

The 2018 Current Population Survey (CPS) estimates that 19.7% of Mississippians live in poverty, which makes Mississippi the state with the highest poverty rate in the United States. If we take a random sample of 250 Mississippians, what is the probability that at least 25% of them live in poverty?

Answers

Answer: 0.0265

Step-by-step explanation:

Given: The proportion of Mississippians live in poverty, which makes Mississippi the state with the highest poverty rate in the United States. : p = 19.7% = 0.197

Sample size : n= 250

The probability that at least 25% of them live in poverty will be

[tex]P(\hat{p}\geq0.25)=P(\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}\geq\dfrac{0.25-0.197}{\sqrt{\dfrac{0.25\times0.75}{250}}})\\\\=P(Z>\geq1.9353)\\\\=1-P(Z<1.935)\\\\=1-0.9735\ \ \ \ [\text{By p-value table}]\\\\=0.0265[/tex]

Hence, the required probability = 0.0265

video game
The price of
was reduced
from $50 to $40. By what percentage was
the
Оо game
reduced?
CS Scanned with CamScanner

Answers

Answer:

Step-by-step explanation:

50-40= 20%

50*20%= 10

50-10=40

What is the slope of the line that passes through the points (4,-9) and (8, -3)?

Answers

Answer:

3/2

Step-by-step explanation:

To find the slope of a line you can use the equation y2-y1/x2-x1

So, -3+9/8-4

6/4=3/2

Step-by-step explanation:

m= y²-y¹/x²-x¹

=(-3)-(-9)/8-4

=6/4

=3/2 or1.5

PLS HELP ME! I GOT THE ANSWER I JUST NEED TO SHOW THE WORK.

Solve for X.

Answer: 6

Answers

Answer:  x = 6

=================================================

Work Shown:

According to the remote interior angle theorem, we can add the interior angles to get the exterior angle that is not adjacent to the interior angles.

So we'll add interior angles D = 6x+8 and E = 5x+8, and that sum leads to 82.

Let's solve for x

(6x+8)+(5x+8) = 82

11x+16 = 82

11x = 82-16 ....... subtracting 16 from both sides

11x = 66

x = 66/11 ...... dividing both sides by 11

x = 6

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

A slightly longer method involves letting y be the missing interior angle of triangle DEC.

Then we can say D+E+C = (6x+8)+(5x+8)+y = 180. This is because the interior angles of any triangle always add to 180.

Furthermore, we also know y+82 = 180, since the angles y and 82 are a linear pair. Solving for y leads to y = 180-82 = 98

Plug this back into the first equation and solve for x

(6x+8)+(5x+8)+y = 180

(6x+8)+(5x+8)+98 = 180

(6x+8)+(5x+8)= 180-98

(6x+8)+(5x+8) = 82 .... note how this equation shows up again

The steps to solving are shown in the previous section.

Please help. The picture below explains the problem.

Answers

Answer:

If the line is gonna be perpendicular then the slope going to be the inverse opposite. therefore the slope of our new line will be 1/4

Now to find the y intercept follow these steps:

y=mx+b

y=1/4x+b

3=1/4(4)+b

3=1+b

b=2

Now that we have the y intercept (b) and the slope (m) we can make our equation.

y=1/4x+2

Step-by-step explanation:

solve for y:
6=2(y+2)

Answers

Use distributive property
6 = 2y + 4
2y = 2
Y = 1
6= 2(y+2)
6= 2y+4
-4 -4
——————
2 = 2y
—- ——
2. 2
Y = 1

The lengths of the sides of a triangle are 3, 3, . Can the triangle be a right triangle?

Answers

Answer:

yes

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

i just made a 100 on odw

. The circumference of Earth’s moon is about 1,091,500,000 cm. Write this number in scientific notation. *

Answers

1.0915 x 10{9} <----Exponet

4/10 times (7/8+9/4) 5/7​

Answers

Answer: simplified down to 25/28 or 0.89 / / 0.9 rounded up

simplify the expression using properties of operation -8(1 +x) + 7x

Answers

Answer:

- x - 8

Step-by-step explanation:

Step 1:

- 8 ( 1 + x ) + 7x        Equation

Step 2:

- 8 - 8x + 7x        Multiply

Step 3:

- 8 - x        Combine Like Terms

Answer:

- x - 8

Hope This Helps :)

A package of 3 pairs of insulated gloves costs ​$25.77. What is the unit price of the pairs of gloves​? The unit prices is $ per pair of gloves

Answers

The unit price is $8.59 per pair of gloves because 25.77/3 = 8.59

Name the property of equality that the statement illustrates.


If AB = CD and CD = 5, then AB = 5.

i need help asap thank you !

Answers

Answer:

I think it's symmetric. I could be wrong, but its been 2 weeks since you posted this so if you have the correct answer can you tell me it please! :)

Step-by-step explanation:

To paint a house, a painting company charges a flat rate of $500 for supplies, plus $50 for each hour of labor. a. How much would the painting company charge to paint a house that needs 20 hours of labor?

Answers

Answer:

For 20 hours it would be $1,500.

Step-by-step explanation:

The equation for this problem would be Y = 50x + 500.

Y is the total charge and x is the number of hours.

Hope this helps! Sorry if it was not what you were looking for!

Answer: 1500

Step-by-step explanation: 50x20=1,000 plus the addition price of the supplies 1,000+500= $1500

Given that for all values of x,
f(x) = 3x + p
g(x) = px + 4
and fg(x) = 6x + 9
where p and q are constants.
Work out the values of p and q.

Answers

Question, where is q in the equations? Do you mean x?

The value of p is 2.

The value of q is 14

What is a function?

function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

Two functions:

f(x) = 3x + p

g(x) = px + 4

Now,

f(g(x)) = 6x + 9

This means,

3(g(x)) + p = 6x + q

Substituting g(x) = px + 4.

3(px + 4) + p = 6x + q

3px + 12 + p = 6x + q

3px + (p - q) = 6x - 12

This means,

3p = 6

p = 2

p - q = -12

2 - q = -12

q = 2 + 12

q = 14

Thus,

p is 2 and q is 14.

Learn more about functions here:

https://brainly.com/question/28533782

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PLEASE HELP!!! BRAINLIEST FOR FIRST


Find the length of k ____

Answers

Answer:

K=3

Step-by-step explanation:

I think so, if I’m wrong I’m sorry

Answer:

Step-by-step explanation:

[tex]\frac{9}{12}[/tex] = [tex]\frac{k}{k+4}[/tex]

12k = 9(k + 4)

12k - 9k = 36

3k = 36

k = 12

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