What is the slope and y-Intercept of the equation 3(y – 2) + 6(x + 1) - 2 = 0?
A. Slope = -2, y-intercept = 2/3
B Slope = 2, y-intercept =2/3
C Slope = -2, y intercept = -2/3
D Slope = 2, y intercept= -2/3
E Slope = -2, y intercept = 3/2

Answers

Answer 1

Answer:

A. Slope = -2, y-intercept = 2/3

Step-by-step explanation:

Convert the given equation into slope-intercept form:

3(y - 2) + 6(x + 1) - 2 = 03y - 6 + 6x + 6 - 2 = 03y + 6x - 2 = 03y = - 6x + 2y = - 2x + 2/3

The slope is -2, the y-intercept is 2/3

Correct choice is A

Answer 2

⇒ 3(y - 2) + 6(x + 1) - 2 = 0

⇒ 3y - 6 + 6x + 6 - 2 = 0

⇒ 3y = -6x + 2

⇒ y = (-6x + 2)/3

y = -2x +

FINAL ANSWER :

Slope = -2

Y - intercept = +

Answer :

Option (a) is the correct answer .


Related Questions

choose the unit that measures distance

A. Feet

B. Pounds

C. Ounces

D. A.M

Answers

Answer:

Feet

Step-by-step explanation:

Find the equation of the linear function represented by the table below in slope-intercept form.

Answers

Answer:

y = 2x - 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

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

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, - 9) and (x₂, y₂ ) = (13, 21) ← 2 ordered pairs from the table

m = [tex]\frac{21-(-9)}{13-(-2)}[/tex] = [tex]\frac{21+9}{13+2}[/tex] = [tex]\frac{30}{15}[/tex] = 2 , then

y = 2x + c ← is the partial equation

To find c substitute any ordered pair from the table into the partial equation

Using (3, 1 )

1 = 6 + c ⇒ c = 1 - 6 = - 5

y = 2x - 5 ← equation of linear function

can someone please help me with this? pls & thank you!

Answers

Answer:

see explanation

Step-by-step explanation:

Equation for Fast Internet is

45 + 50.45x

Equation for Quick Internet is

57.95x

To find when they cost the same , equate the 2 equations

45 + 50.45x = 57.95x ← required equation

Solve the equation by subtracting 50.45x from both sides

45 = 7.5x ( divide both sides by 7.5 )

6 = x

Both services would cost the same after 6 months

what is 0.04 km, 420 cm, 4,600 mm, and 4.3 meters in order from least to greatest

Answers

Answer:

420 cm, 4.3 meters, 4600 mm, 0.04 km

Step-by-step explanation:

We can solve this by converting each to the same unit. I will be using meters.

0.04 km

1 km = 1000 meters

1000 meters / 1 km = 1

multiply 0.04 km by 1 = 1000 meters / 1 km , keeping the km at the bottom to cross out

0.04 km * 1000 meters / 1 km = 40 meters

420 cm

100 cm = 1 meter

1 meter / 100 cm = 1

multiply 420 cm by this, keeping cm at the bottom so it crosses out

420 cm * 1 meter / 100 cm = 4.2 meters

4600 mm

1000 mm = 1 meter

1 meter / 1000 mm = 1

4600 mm * 1 meter / 1000 mm = 4.6 meters

Therefore, our order is

420 cm, 4.3 meters, 4600 mm, 0.04 km

As an incoming college freshman, Tina received a 10-year $9,900 Federal Direct
Unsubsidized Loan with an interest rate of 4.29%. She knows that she can begin making
loan payments 6 months after graduation but interest will accrue from the moment the funds
are credited to his account. How much interest will accrue while she is still in school and
over the 6-month grace period for this freshman year loan?

Answers

The amount charged on the loan which is the loan interest rate, increases as the time after the initial amount is credited into the account increases.

The interest on the Federal Direct Unsubsidized Loan after 4 years 6 months is $1,911.195

Reasons:

The given parameter are;

Loan amount, the principal, P = $9,900

Duration of the loan = 10 years

Loan interest rate, R = 4.29%

Required:

The amount of interest that will accrue while she is still in school and over the 6-months grace period for the freshman loan.

Solution:

Based on a similar question on an online source, we have;

Interest, I = P × R × T

Where;

T = The time = The time the freshman is in school + 6 months

Therefore, normally, we have;

T = 4 years + 6 months = 4.5 years

R = 4.29% = 0.0429

Therefore;

Interest, I = 9,900 × 0.0429 × 4.5 = 1911.195

The interest that will accrue while she is still in school and over the 6-months grace period for the loan, I = $1,911.195

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given the line y=-2x - 1 and the point (4,4) find the equation of the line perpendicular to the given line

Answers

Answer:

y= (1/2)x + 2

Step-by-step explanation:

yeah-ya.......... right?

i need help with this!!!!

Answers

Answer: 2. 5.

Step-by-step explanation:

-8y + 1 = -9y. solve for y.

Answers

Answer: y = -1

Step-by-step:

-8y + 1 = -9y

Subtract 1 from both sides
-8y = -9y-1

Add 9y to both sides to isolate y
y = -1

Simplifying
8y + -1 = 9y

Reorder the terms:
-1 + 8y = 9y

Solving
-1 + 8y = 9y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-9y' to each side of the equation.
-1 + 8y + -9y = 9y + -9y

Combine like terms: 8y + -9y = -1y
-1 + -1y = 9y + -9y

Combine like terms: 9y + -9y = 0
-1 + -1y = 0

Add '1' to each side of the equation.
-1 + 1 + -1y = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -1y = 0 + 1
-1y = 0 + 1

Combine like terms: 0 + 1 = 1
-1y = 1

Divide each side by '-1'.
y = -1

Simplifying
y = -1

help me please jfjfjd

Answers

Answer:

10. y degree = 102 degree

11. x degree = 103 degree

Step-by-step explanation:

The formula to calculate the sum of the interior range of polygons is (n-2) * 180.

With n being the number of sides.

From that sum, you can then deduce the angles of y or x, by substracting the other angles.

10. n = 4 => ( 4 - 2 ) * 180 = 2 * 180 = 360 degree

y = 360 - 120 - 85 - 53 = 102 degree

11. n = 5 => (5 - 2) * 180 = 3 * 180 = 540 degree

x = 540 - 117 - 100 - 105 - 115 = 103 degree

PLEASEE HELPP!
Use the following figure to answer BOTH parts the question
(a) Describe in words a sequence of transformations that maps ∆ to ∆′′′.
(b) Write an ordered-pair rule for each transformation in the sequence.

Answers

Transformation involves changing the position of a shape

The sequence that maps ∆ABC to ∆A′B′C′ is reflection across the y-axis, followed by horizontal and vertical shiftsThe ordered pair rule is: [tex](x,y) \to (-x,-1,y-2)[/tex]

(a) The sequence that maps both triangles

From the figure the coordinates of both triangles are:

[tex]A = (-5,0)[/tex]

[tex]B = (-2,1)[/tex]

[tex]C = (-4,2)[/tex]

[tex]A' = (4,-2)[/tex]

[tex]B' = (1,-1)[/tex]

[tex]C = (3,0)[/tex]

Start by reflecting triangle ABC across the y-axis.

The rule of this transformation is:

[tex](x,y) \to (-x,y)[/tex]

So, we have:

[tex]A = (5,0)[/tex]

[tex]B = (2,1)[/tex]

[tex]C = (4,2)[/tex]

Next, translate the triangle 1 unit left and 2 units down

The rule of this transformation is:

[tex](x,y) \to (x,-1,y-2)[/tex]

So, we have:

[tex]A' = (4,-2)[/tex]

[tex]B' = (1,-1)[/tex]

[tex]C = (3,0)[/tex]

Hence, the sequence that maps ∆ABC to ∆A′B′C′ is reflection across the y-axis, followed by horizontal shift to the left by 1 unit, and vertical shift down by 2 units

(b) The ordered pair rule

In (a), we have:

[tex](x,y) \to (-x,y)[/tex] ---- reflection

[tex](x,y) \to (x,-1,y-2)[/tex] --- translation

Combine both transformations, so we have the following ordered pair:

[tex](x,y) \to (-x,-1,y-2)[/tex]

Hence, the ordered pair rule is: [tex](x,y) \to (-x,-1,y-2)[/tex]

Read more about transformation at:

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solve the following equation. Enter your answer as an integer, decimal or fraction.​

Answers

Answer:

x = 5 or × = -7/2

Step-by-step explanation:

I hope you get it good luck.

pls help it's due today​

Answers

Answer:

x = 5

y = 8.66

Step-by-step explanation:

I hope this helps!!

if I have five candies from the box containing 9 candies I ate 5/9 of all candies so 5 is what part of 9 is 3​

Answers

Answer: 1/3?

Step-by-step explanation:

The wording is a bit confusing.  ". . . so 5 is what part of 9 is 3​ . ." seems to be missing some portion of the sentence.

You ate 5/9 of the candies.  There were 9 and you consumed 5.  I don't know what you are asking in " . .  what part of 9 is 3."  3 is 3/9, or 1/3.

HELP. RIGHT NOW PLEASE :>
Simplify

Answers

Answer:

4

x

5

(

x

1

)

2

3

2

+

3

y

3

Step-by-step explanation:

4

x

5

(

x

1

)

2

3

2

+

3

y

3

Helppppppppppppppppppp

Answers

Answer:

Step-by-step explanation:

13+(12-x)+14+(20-x)+x+(15-x)+8=74

solve for x

x=4

8. Which of the following equations represents
a line with a positive slope and a negative
y-intercept?
A. y = 3.5x
B. y = 7.5x – 2
C. y = 3x + 7
D. y = -5x -8

Answers

Answer:

d y=-5x-8

Step-by-step explanation:

Answer:

B. y = 7.5x – 2

Step-by-step explanation:

Any equation with a positive coefficient before the x is positive and the second value is the y - intercept.

Please Help ill give brainliest!!!! Help ASAP


Question: Whose puppy gained weight the slowest? How much did it gain per week?

Answers

Answer:

Camille's puppy becuase it gains about half a pound per week

Step-by-step explanation:

Answer:

Camille's puppy because it gains about half a pound per week

Step-by-step explanation:

brainliest please?

What is the answer for the explanation

Answers

Answer: You cannot figure out the value without any measurements or tools for that matter.

Step-by-step explanation:

Im blue ba da de ba da da

1 5/6 ÷3/4 the first 1 is a mixed fraction so its one five by six

Answers

Answer:the answer is 22/9 or in mixed form would be 2 4/9 but in decimal it’s 2.4 but the 4 is repeated

Students at Hampton Middle School sold T-shirts as a school fundraiser. Sylvie asked 12 random seventh-grade students how many T-shirts they sold for the fundraiser. The number of T-shirts each student sold is listed below. 3, 4, 8, 5, 2, 5, 0, 5, 3, 4, 3, 7 What is the mean of the data set rounded to the nearest tenth? 4. 0 shirts 4. 1 shirts 4. 5 shirts 4. 9 shirts.

Answers

Using it's formula, it is found that the mean of the data set is of 4.1 shirts.

The mean of a data-set is the sum of all observations divided by the number of observations.

In this problem, the 12 observations are: 3, 4, 8, 5, 2, 5, 0, 5, 3, 4, 3, 7

Hence:

[tex]M = \frac{3 + 4 + 8 + 5 + 2 + 5 + 0 + 5 + 3 + 4 + 3 + 7}{12} = 4.1[/tex]

The mean of the data set is of 4.1 shirts.

For more on the mean of a data-set, you can check https://brainly.com/question/24628525

If 15 out of 25 students are boys,what percent of the class is made up of boys?

Answers

Answer: 6%

Step-by-step explanation:

Evaluate: 4.3 - (-2.7)

7

1.6

-1.6

-7​

Answers

Answer:

7

Step-by-step explanation:

That means 4.3 (2.7) = 7

The negative signs get removed because negative × negative = positive

h(x) = 4x + 3; Find h(1)

Answers

Answer:

h(1) = 7

Step-by-step explanation:

h(x) = 4x + 3

h(1) = 4(1) + 3

h(1) = 4 + 3

h(1) = 7

Calculate 1.25 X (3)

Answers

Answer: 3.75 is your answer!

Step-by-step explanation: hope i helped my answer is 100% correct

3.75 this the answer man 3.75

Express the following equation in slope intercept form: 8x-2y=10
please

Answers

Answer:

y=4x-5

Step-by-step explanation:

8x-2y=10

-8

-2y=-8x+10

-2= -2   -2

y=4x-5

If IK and LN are parallel lines and M

Answers

Answer:

40°

Step-by-step explanation:

Both angles are opposites so together they equal 180.

180 - 140 = 40

I hope this helps!!

The measure of angle IJM is 40°.

What are Angles?

Angles are the figure formed by the intersection of two lines or rays by sharing a common point. This point is called the vertex of the angle.

Angles are usually measured in degrees or radians.

Given are two parallel lines IK and LN.

From the figure, OH is a transversal line that intersects the given parallel lines.

We have m ∠IJH = 140°

We have to calculate the measure of ∠IJM.

Since ∠IJH and ∠IJM are the pair of linear angles, the sum of their angles is 180°.

m ∠IJH + m ∠IJM = 180°

140° + m ∠IJM = 180°

m ∠IJM = 180° - 140°

m ∠IJM = 40°

Hence 40° is the measure of angle IJM.

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please help i have a test tmw

Answers

First one would be 3x plus 15 bc you add the 2x and x and 15 bc u add the 10 and 5

Alesia reads 12 books over 6 months. After 8 months, how many books will she have read in all?

18 books
16 books
22 books
20 books

Answers

16 books. 12 divided by six equals 2 to get the number of books per mouth. 2 times 8 to get 16.

what is the equation?

Answers

Answer:

y=3x+1

Step-by-step explanation:

To figure out equations of tile patterns simply count the initial value and the rate of change, then convert it into (slope intercept form) which is

y = mx+b

In this case in figure 2 we see that there are 4 blocks, in figure 3 we see there are now 7 blocks.

7 - 4 = 3.

If we try again and see figure 3 has 7 blocks and figure 4 has 10 blocks we can do this to double check.

10 - 7 = 3. (This now verifies our rate of change to be 3)

We now see that the rate of change or slope (same thing) is 3 or put into the equation (3x).

Off this information we can also predict the original value of figure 1 (the figure we must calculate ourselves to create the equation).

Simply take figure 2 (4 blocks) and subtract by the rate of change which is (3 blocks) to get figure 1 which will be 1 block.

With all this information we can create the equation with the information we now have.

y = mx+b

y = what you are calculating for

m = 3

x = (the value you fill in when you are calculating for x) [we are not filling this in for this question so you will leave it as simply x]

b = 1        (the constant / y intercept / or simply put as the value we solved when calculating figure 1)

Final Result = [ y = 3x + 1]

which option has the greater slope
A.y=3x+2
B the picture below

I REALLY NEED HELP ON THIS QUESTION I WILL MARK YOU BEAINLIEST!!!!​

Answers

Answer:

A. Y=3x+2

Step-by-step explanation:

Y=mx+c

m - slope coefficient of x

and so you can easily find the slope if you are asked directly like this seen in option A.

the picture has a value of X2=-3 , X1=3 & Y1=3 Y2= 1

m = Y2 - Y1 / X2 - X1 = 1-3/-3-3 = -2/-6 = 1/3.

as you can now see, the slope from the pic which is 1/3 is less than that of option A.

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