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

Which situation shows a constant rate of change?

A. The outside temperature compared with the time of day

B. The cost of a bunch of grapes compared with its weight

C. The height of a bird over time

D. The number of tickets sold compared with the number of minutes before a football game

Answers

The answer is most likely B. :)

An album which originally cost p 900, mark up with 30%. What is the selling price? A. p 970.00 B. p 1070.00 C. p 1170.00 D.p 1270.00​

Answers

The markup percentage specifies the amount by which the selling price is

raised above the cost price.

The correct option for the selling price is B. p 1,070.00

Reasons:

The original cost of the album = p900

The mark up percentage = 30%

Required:

The selling price

Solution:

The percentage mark up is given by the difference between the price at

which an item is for sale and its cost expressed as a percentage.

[tex]\displaystyle Percentage \ mark \ up = \mathbf{\frac{Selling \ price - Cost \ price}{Cost \ price} \times 100}[/tex]

Therefore, we have;

[tex]\displaystyle 30 = \frac{Selling \ price - 900 }{900} \times 100[/tex]

[tex]\displaystyle 0.3 = \frac{Selling \ price - 900 }{900}[/tex]

900 × 0.3 = Selling price - 900

270 = Selling price - 900

Selling price = 900 + 270 = 1,070

The selling price is B. p 1,070.00

Learn more about percentage markup here:

https://brainly.com/question/16959984

Can someone plz help me?

Answers

Answer:

A. 5(y+3) = 5(3+y)

Step-by-step explanation:

please i need help with this

Answers

Given :-

Line p has an equation of y = 5/3x - 4 .Line q includes point (-10,-3) and is perpendicular to the line p .

To Find :-

The equation of line q .

Solution :-

The equation of the line p is ,

[tex]\sf\blue{\longrightarrow}[/tex] y = 5/3x - 4

On comparing to slope intercept form of the line which is y = mx + c , we have ,

[tex]\sf\blue{\longrightarrow}[/tex] m = 5/3

Now as we know that the product of slopes of two perpendicular lines is -1 . So the slope of the perpendicular line will be ,

[tex]\sf\blue{\longrightarrow} m_{\perp} = -3/5[/tex]

Now here the line q passes through the point (-10,-3) . So on using the point slope form of the line we get ,

[tex]\sf\blue{\longrightarrow} y - y_1 = m(x-x_1)[/tex]

[tex]\sf\blue{\longrightarrow}[/tex] y - (-3) = -3/5[ x-(-10)]

[tex]\sf\blue{\longrightarrow}[/tex] y +3 = -3/5(x+10)

[tex]\sf\blue{\longrightarrow}[/tex] y+3 = -3/5x - 6

[tex]\sf\blue{\longrightarrow}[/tex] y +9 = -3/5x

[tex]\sf\blue{\longrightarrow}[/tex] y = - 3/5x - 9

Hence the required answer is y = -3/5x - 9 .

Answer:

For Perpendicular lines you have to know

Step-by-step explanation:

Slope of P ×slope of q=-1 (always since they are perpned..)

so as P has the slope 5/3 in order to optain - 1 the slope of q should be negative of the inverse of p

so q solpe =-3/5 then lets try (5/3)×(-3/5)? =-1 yes

And be aware that you have to know the formula of straight line : y-ypoint=slope(x-xpoint) or y=ax+b

so y+3=-3/5(x+10) ===> y=-3/5x - 30/5 - 3

uniting the denominater ==>y=-3/5x - 45/5

so that q equation is :y=-3/5x - 9

Given the point and the slope, write the function in point-slope form:

(2,−5);m=23

Group of answer choices
y−5=23(x−2)
y+5=23(x−2)
y−5=23(x+2)
y+5=23(x+2)

Answers

Answer:

2nd answer choice

Step-by-step explanation:

point slope form: y-y1=m(x-x1)

y-(-5)=23(x-2)

y+5=23(x-2)

Answer:

  (b)  y+5=23(x−2)

Step-by-step explanation:

The point-slope form for the equation of a line is ...

  y -k = m(x -h) . . . . . . point (h, k), slope m

You have point (2, -5) and m=23, so the equation becomes ...

  y -(-5) = 23(x -2)

  y +5 = 23(x -2) . . . . . . simplify a bit

(8y²)(-3x²y²)(2/3xy⁴)

HELP PLEASEEEEEEEE

Answers

Step-by-step explanation:

1 Remove parentheses.

8{y}^{2}\times -3{x}^{2}{y}^{2}\times \frac{2}{3}x{y}^{4}

8y

2

×−3x

2

y

2

×

3

2

xy

4

2 Use this rule: \frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}

b

a

×

d

c

=

bd

ac

.

\frac{8{y}^{2}\times -3{x}^{2}{y}^{2}\times 2x{y}^{4}}{3}

3

8y

2

×−3x

2

y

2

×2xy

4

3 Take out the constants.

\frac{(8\times -3\times 2){y}^{2}{y}^{2}{y}^{4}{x}^{2}x}{3}

3

(8×−3×2)y

2

y

2

y

4

x

2

x

4 Simplify 8\times -38×−3 to -24−24.

\frac{(-24\times 2){y}^{2}{y}^{2}{y}^{4}{x}^{2}x}{3}

3

(−24×2)y

2

y

2

y

4

x

2

x

5 Simplify -24\times 2−24×2 to -48−48.

\frac{-48{y}^{2}{y}^{2}{y}^{4}{x}^{2}x}{3}

3

−48y

2

y

2

y

4

x

2

x

6 Use Product Rule: {x}^{a}{x}^{b}={x}^{a+b}x

a

x

b

=x

a+b

.

\frac{-48{y}^{2+2+4}{x}^{2+1}}{3}

3

−48y

2+2+4

x

2+1

7 Simplify 2+22+2 to 44.

\frac{-48{y}^{4+4}{x}^{2+1}}{3}

3

−48y

4+4

x

2+1

8 Simplify 4+44+4 to 88.

\frac{-48{y}^{8}{x}^{2+1}}{3}

3

−48y

8

x

2+1

9 Simplify 2+12+1 to 33.

\frac{-48{y}^{8}{x}^{3}}{3}

3

−48y

8

x

3

10 Move the negative sign to the left.

-\frac{48{y}^{8}{x}^{3}}{3}

3

48y

8

x

3

11 Simplify \frac{48{y}^{8}{x}^{3}}{3}

3

48y

8

x

3

to 16{y}^{8}{x}^{3}16y

8

x

3

.

-16{y}^{8}{x}^{3}

−16y

8

x

3

Done

help quick! Which BEST describes the tables?

Answers

Answer:

D. Neither table represents a function

Step-by-step explanation:

Functions require a key to go by. In this case, none of the two tables have a key from the start going down.

What would the graph look like

Answers

Answer I cant read the thing sorry

Step-by-step explanation:

hoped that hepled:)

James is from Rochester. Today, he has to travel to Cannon Falls for a morning meeting and then to Austin for an afternoon meeting and then home again. Cannon Falls is 45 miles directly north of Rochester. Austin is 42 miles directly west of Rochester. There is a nice straight road from Cannon Falls to Austin. Calculate the total distance he will be driving. Round your answer to the nearest mile.
(Drawing a map may be helpful.)

Answers

Answer:

His total distance is 149 miles.

Step-by-step explanation:

Use the Pythagorean theorem to find the value of the straight road from cannon falls to austin.  Then add that value with 42 and 45.

Calculate the measure of angle L

Answers

Answer:   15

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

Explanation:

Lines LM and LP are tangent to the circle at points M and P respectively. The dashed radius lines are perpendicular to those tangents, which means we have 90 degree angles at points M and P.

For any quadrilateral, the four angles always add to 360 degrees.

L+M+O+P = 360

L+90+165+90 = 360

L+345 = 360

L = 360-345

L = 15

Another route you can use is the fact that opposite angles L and O are supplementary

L+O = 180

L+165 = 180

L = 180-165

L = 15

common factor of 36 and 48

Answers

Answer:

12

Step-by-step explanation:

write 1+√-32/4 as a complex number in the form a + bi, where a and b are real numbers.
a. 1/4+1/2√2i
b. 1/4+1/4√2i
c. 1/4+√2i
d. 1/4+4√2i

Answers

Answer: Choice C

Work Shown:

[tex]\frac{1+\sqrt{-32}}{4}\\\\\frac{1+\sqrt{-1*16*2}}{4}\\\\\frac{1+\sqrt{-1}*\sqrt{16}*\sqrt{2}}{4}\\\\\frac{1+i*4*\sqrt{2}}{4}\\\\\frac{1+4i*\sqrt{2}}{4}\\\\\frac{1}{4}+\frac{4i*\sqrt{2}}{4}\\\\\boldsymbol{\frac{1}{4}+i\sqrt{2}}\\\\[/tex]

This matches with choice C. The imaginary 'i' term is not under the square root.

my Christmas present to you​

Answers

Answer:

yay thx

Step-by-step explanation:

merry xmas

Chose the justification for each step in the solution to the given equation stop application subtraction property of equality multiplication property of equality division property of equality addition property of equality

Answers

Answer:

Step-by-step explanation:

Hey y’all please help me ASAP.

Answers

Answer:

the top right box

Step-by-step explanation:

Answer:

-g-8≥9

Step-by-step explanation:

Just ask.

Hope this helps. :)

Question 4 of 10
Which statement about setting is true as it relates to a story?
A. Setting helps to define a story's point of view.
B. Setting is another word for characterization.
Ο Ο Ο
C. Setting affects character behavior, which drives the plot.
D. Setting comes into play at the end of a story.
SUBMIT

Answers

Answer:

First of all not a math question but wtv

the answer is C since where the story takes place affects what the characters do

Hope This Helps!!!

B setting is another word for characterization

Y=-2|x+2|-4 i need to find y intercept and the x intercept

Answers

Answer:

x-int: ∅

y-int: (0,-8)

Step-by-step explanation:

To find the x and y-intercept, simply plug in zero for x and y:

[tex]0=-2|x+2|-4\\4=-2|x+2|\\-2=|x+2|\\[/tex]

Because an absolute value cannot be equal to a negative, there is no x-intercept.

[tex]y=-2|0+2|-4\\y=-2|2|-4\\y=-4-4\\y=-8[/tex]

Hope it helps :)

I REALLY NEED YOUR HELP DUE AT THE END OF CLASS.

Answers

Answer:

Type 2

Step-by-step explanation:

Equation of the line is:

y=2

slope is 0

how can you identify symmetry in a figure?

Answers

Answer:

You can identify symmetry by if on both sides it looks the same.

10x1+2x60/10

Hi! Um I have only four questions on an assignment thats due Friday, this is one of them and I keep getting stuck, can someone please help me out?

Answers

Answer:

2

Step-by-step explanation:

Write an equation in point-slope form of the line that passes through the point (-6,6) and has a slope of m=3/2

Answers

Answer:

y=3/2 x+15

Step-by-step explanation:

A middle school principal is signing the diplomas of the school's graduating eighth graders.
She previously signed 37 diplomas. Now, she is signing more diplomas at a rate of 0.5 per
second. If the principal signs diplomas for 60 seconds, what will the total number of signed
diplomas be?

Answers

Answer: 67 diplomas

Step-by-step explanation:

0.5 diplomas per second = 1 diploma per 2 seconds

60/2 = 30

30+37 = 67

Correct me if I am incorrect

An equation that shows how the total number of diplomas signed depends on the number of seconds the principal spends signing them is y = 37 + 0.5x.

What is an equation?

An equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.

It is vital to note that an equation is a mathematical statement which is made up of two expressions that are connected by an equal sign.

In this case, let x be number of seconds the principal spends signing them. The principal already signed 37 diplomas. Th equation to illustrate this is 37 + 0.5x.

Convert 34/8 to a decimal using long division

Answers

Answer:  Using a calculator, if you typed in 34 divided by 8, you'd get 4.25. You could also express 34/8 as a mixed fraction: 4 2/8.

Step-by-step explanation:

Answer:

answer

Step-by-step explanation:

is using a cancalator duh

I watch television from 5 o clock until half past. How long do I watch for?

Answers

Answer:

5:30

Step-by-step explanation:

Important info:

watch television from 5 o clock until Half Past.

Question to Answer:

How long did you watch.

Note:

Half of 1 Hour = 30 Minutes

Solution:

5:30

Therefore You watch television until 5:30

What is the domain? (Type your answer with commas and no spaces)

Answers

Answer:

The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes.

Step-by-step explanation:

Harry and Matthew, have 56 toys to build. harry builds three fourths of the toys, while matthew builds one seventh of the toys. How many toys are there left to build?

Answers

Answer:

i don't know

Step-by-step explanation:

Find the greatest common factor of the
following monomials:
18xy^ 30xy3
NO LINKS

Answers

Answer:

Step-by-step explanation:

6xy^3

1) Derrick is sharing pizza with his 3 friends. They have 6/8 of a pizza. If they split the pizza evenly, how much pizza does each person get? Show your work with both a model and an equation.​

Answers

Answer:

3/16

Step-by-step explanation:

So Derrick is sharing pizza with 3 friend, so in total, there are 4 people.

There is 6/8 pizza in current total pizza.

[tex]\frac{\frac{6}{8}}{4} =6/32=3/16[/tex]

Answer:

2/8

Step-by-step explanation:

each person would get 2/8

REPOST BECAUSE OF LINKS ASAP WORTH 70 POINTS IF U ANSWER
It is recommended that you work this out on graph paper to help answer the questions. Maria plots the locations of 4 places on a coordinate grid as given below (It is recommended that you work this out on graph paper to help answer the questions.):

Her house is at (−4, 9).
Her school is at (−4, 3).
The community center is at (1, 3).
The grocery store is at (−4, −8).

Is the total distance from Maria's house to the school to the grocery store greater than the total distance from Maria's house to the school to the community center? Justify your answer.

Answers

Answer/Step-by-step explanation:

9-3= 6 units (since x coordinates are same). We can also show by manually counting the squares (1 square= 1 unit)

Yes, its greater. Distance from house to school is 6. Distance from school to grocery is 3-(-8)= 11. Thus, distance is 11+6= 17 units.

Distance from house to school is 6. Distance from school to community center is 1-(-4)=5. Thus, distance= 6+5=11 units.

The length of a rectangle is equal to three times the width.Find the dimensions of the rectangle if the perimeter is 86 centimeters.

Answers

Answer:

length: 32.25 cmwidth: 10.75 cm

Step-by-step explanation:

Let w represent the width. Then 3w represents the length. The perimeter formula is ...

  P = 2(L +W)

  P = 2(3w +w)

  86 cm = 8w

  w = 10.75 cm

  3w = 32.25 cm

The rectangle is 32.25 cm long and 10.75 cm wide.

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