What is the equation of the line that passes through the point (-6,3) and has a slope of -2/3

Answers

Answer 1

Answer:

The answer is y=-2/3x-1

Step-by-step explanation:

y-y=m(x-x1)

y-3=-2/3(x-(-6))

y-3=-2/3x-4

+3 +3

y=-2/3x-1


Related Questions

Match the function below with its corresponding graph or value

Answers

Answer:

Step-by-step explanation:

 c   11). f(x) = - 5x ; f(4) = - 5(4) = - 20

 e   12). f(x) = - x - 3 ; f(8) = - 8 - 3 = - 11

 b   13). f(x) = 8 + 3x - 5 ; f(- 6) = 3(- 6) + 3 = - 15

 a   14). f(x) = [tex]\frac{1}{3}[/tex] x - 4 ; y-intercept is (- 4) and slope of the line is less than 1

 f   15). f(x) = 3 - 3x ; y-intercept is 3 and slope of the line is ( - 3) ⇒ line is going down

Ariana, Boris, Cecile, and Diego are students in the service club. Three of the four students will be chosen to attend a conference. Which choice represents the sample space, S, for this event?

Answers

Answer:

S = {ABC, ABD, ACD, BCD}

Step-by-step explanation:

We are told that Ariana, Boris, Cecile, and Diego are students in the service club.

Let's denote their names with letters;

Ariana = A

Boris = B

Cecile = C

Diego = D

We are told that Three of the four students will be chosen to attend a conference. This means that the sample space will be a set showing combination of any 3 out of the 4 students.

Thus, sample space is;

S = {ABC, ABD, ACD, BCD}

Answer:

A

Step-by-step explanation:

4) On Monday Elaine ran 5 miles and 3 laps around a trail. On Tuesday she ran 6 miles and 2 laps around a trail. She ran the same distance both days. How many miles long is one lap around the trail?​

Answers

Answer:

c

Step-by-step explanation:

What is the value of the 11th term in the sequence -3, -6, -12, -24, ...?

A. -6,144
B. -118,098
C. -3,072
D. -354,294

Answers

Answer:

C

Step-by-step explanation:

There is a common ratio r between consecutive terms in the sequence, that is

- 6 ÷ - 3 = - 12 ÷ - 6 = - 24 ÷ - 12 = 2

This indicates the sequence is geometric with n th term

[tex]a_{n}[/tex] = a₁ [tex]r^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = - 3 and r = 2 , thus

a₁₁ = - 3 × [tex]2^{10}[/tex] = - 3 × 1024 = - 3072 → C

factory has supplies expenses of $1135.78 a day, in addition to the wages above and makes $60,128.72 in one week, what is the factory's total profit or loss in one week?

Answers

Answer:

A= $54144B=  loss of $829.96 per week

Step-by-step explanation:

The question is incomplete, here is the detailed version:

A) A certain small factory employs 98 workers. Of these, 10 receive a wage of $150 per day and

the rest receive $85.50 per day. To the management, a week is equal to 6 working days. How much

does the factory pay out for each week?

B) If the same factory has supplies expenses of $1,135.78 a DAY in addition to the wages above

and makes $60,128.72 in a week, what is the factory’s total profit or loss in one week? .

A. The total pay per week

  =  (10(150)+88(85.5))*6

  =(1500+7524)*6

  =9024*6

  =$54144

B. The factory’s total profit or loss in one week.

 = 60,128.72-(54144+6(1135.78))

 =60128.72-(54144+6814.68)

 =60128.72-60958.68

 = -829.96

The factory will make a loss of $829.96 per week

A cook has 11.64 pints of olive oil before the dinner service. There were 5.2 pints of olive oil used during the dinner service. What amount of olive oil is left after the dinner service, with the correct number of significant digits?

A. 6.44 pints

B. 16.84 pints

C. 6.4 pints

D. 17 pints ​

Answers

Answer:

c

Step-by-step explanation:

Complete the point-slope equation of the line through (1,-1)(1,−1)left parenthesis, 1, comma, minus, 1, right parenthesis and (5,2)(5,2)left parenthesis, 5, comma, 2, right parenthesis. Use exact numbers. y-(-1)=y−(−1)=y, minus, left parenthesis, minus, 1, right parenthesis, equals

Answers

Answer:

y+1 = 3/4(x-1)

Step-by-step explanation:

Given the coordinates of a line, (1, -1) and (5, 2), we are to find the equation of the line in point-slope form.

The point slope form of the equation is generally expressed as;

y -y0 = m(x-x0)

m is the slope

(x0, y0) is the point

Get the slope first;

m = y2-y1/x2-x1

m = 2-(-1)/5-1

m = 3/4

Substitute any of the point sat=y (1, -1) and m = 3/4 into the point slope form of the equation

y - (-1) = 3/4 (x-1)

y+1 = 3/4(x-1)

Hence the required equation is y+1 = 3/4(x-1)

please help me with this it’s due soon

Answers

Answer:

39.5 degrees

Step-by-step explanation:

180-101=79

79/2=39.5

39.5 degrees aaaaaaaa

5-10m
WHATS THIS ANSWER?.
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.
..
.
.

Answers

Answer:

-5 is the answer

Step-by-step explanation:

What is the value of the expression below?
8 *divide* 2 + 6x5

Answers

Answer:

34

Step-by-step explanation:

8/2 = 4

6 times 5 = 30

30 + 4 = 34

Point \blue{A}Astart color #6495ed, A, end color #6495ed is at \blue{(-2, -7)}(−2,−7)start color #6495ed, left parenthesis, minus, 2, comma, minus, 7, right parenthesis, end color #6495ed and point \purple{M}Mstart color #9d38bd, M, end color #9d38bd is at \purple{(2.5, -1.5)}(2.5,−1.5)start color #9d38bd, left parenthesis, 2, point, 5, comma, minus, 1, point, 5, right parenthesis, end color #9d38bd.

Point \purple{M}Mstart color #9d38bd, M, end color #9d38bd is the midpoint of point \blue{A}Astart color #6495ed, A, end color #6495ed and point \green{B}Bstart color #28ae7b, B, end color #28ae7b.

What are the coordinates of point \green{B}Bstart color #28ae7b, B, end color #28ae7b?

Answers

Answer:

(7,4)

Step-by-step explanation:

The midpoint formula is expressed as:

M(X, Y) = {(x2+x1)/2, (y2+y1)/2

Given the coordinates of the midpoint

M(2.5, -1.5)

Endpoint A(-2, -7)

Required

Endpoint B

From the formula;

X = x2+x1/2

Given

X = 2.5, x1 = -2

Get x2

2.5 = -2+x2/2

5 = -2+x2

x2 = 5+2

x2 = 7

Also

Y = y2+y1/2

-1.5 = -7+y2/2

-3 =-7+y2

y2 = -3+7

y2 = 4

Hence the coordinate of the endpoint B (x2,y2) is (7,4)

Answer:

(0,0.5)

Step-by-step explanation:

Trust me, it's from Khan Academy

Combine any like terms in the expression. If there are no like terms, rewrite the expression.
5t+t–3t

Answers

The answer is of that is 3t

Select the correct answer.
Which function has the same graph as x + y = 11?

A.
f(x) = -y + 11
B.
f(x) = -x + 11
C.
f(x) = x − 11
D.
f(x) = y − 11

Answers

Answer:

B. f(x) = -x + 11

Step-by-step explanation:

y = f(x)

therefore

x + y = 11 → x + f(x) = 11     |subtract x from both sides

x - x + f(x) = 11 - x

f(x) = -x + 11

The correct function is f(x) = 11 - x, has the same graph as x + y = 11, which corresponds to option B.

Therefore, the correct answer is:

B. f(x) = -x + 11

Here,

To find the function with the same graph as x + y = 11,

we need to isolate y in the equation to make it of the form y = f(x).

Given equation: x + y = 11

Subtract x from both sides of the equation:

y = 11 - x

Now, we have the equation in the form y = f(x).

so, we get, f(x) = -x + 11

i.e. The function which has the same graph as x + y = 11 is: f(x) = -x + 11

so, we have,

The correct function is f(x) = 11 - x, has the same graph as x + y = 11, which corresponds to option B.

Therefore, the correct answer is:

B. f(x) = -x + 11

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(3,-7); m=4/3 write in standard form

Answers

Answer:

In standard form it will be 4x-3y=33

Step-by-step explanation:

Can someone please help me with this and show work as well

Answers

The answer is 77 and here are the steps :)

help pleaseeeeeeeee​

Answers

Answer:

its a little blury but i got -3,-9

Write an equation that could be used to fine the number of comic books, x Jacob needs to sell in order to earn $200.

Answers

Answer:

100+x=200

Step-by-step explanation:

Please answer correctly !!!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!

Answers

Answer:

47°

Step-by-step explanation:

they are parallel to each other

Answer:

47

Step-by-step explanation:

47 and x are alternate interior angles

What is the value of x?
Triangle B C D. Angle B is 91 degrees, angle C is 33 degrees, and angle D is x degrees.
56°
66°
124°
236°

Answers

Answer:

56°

Step-by-step explanation:

The interior angles of a triangle add up to 180.

You would first set up the following problem:

91 + 33 + x = 180

You would now subtract 91 from both sides.

33 + x = 89

You would now subtract 33 from both sides.

x = 56

The value of x is 56 degrees.

Angle of triangle D is 56 degrees.

What is a triangle?

"A triangle is a simple closed curved made of three segments. A triangle has three sides and three angles, and all three sides and angles are called six elements of the triangle."

We have

Angle sum property of a triangle = [tex]180^{0}[/tex]

<B + <C + <D =  [tex]180^{0}[/tex]

⇒ [tex]91^{0}+33^{0} +x^{0}=180^{0}[/tex]

⇒ [tex]x^{0}=180^{0}-91^{0}-33^{0}[/tex]

⇒ [tex]x^{0}=56^{0}[/tex]

The value of x is 56 degrees.

Hence, angle of triangle D is 56 degrees.

Learn more about triangle here

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find the missing angle

Answers

129 degrees is the correct answer for the missing angle number 1 :)

Find the maximum height of the rocket and explain in at least threes sentence how you calculated your answer of y = - 16x ^ 2 + 480x

Answers

Answer:

The maximum height of the rocket is 3600

Step-by-step explanation:

The vertex of the quadratic equation y = ax² + bx + c is (h, k), where

h = [tex]\frac{-b}{2a}[/tex]k = y at x = hThe vertex (h, k) is a minimum point if a is positive  The vertex (h, k) is a maximum point if a is negative

The height of the rocket calculated using the equation y = -16x² + 480x, where y is the height and x is the time

To find the maximum height, do that

Find the x-coordinate of the vertex of the equation ⇒ hSubstitute the value of x in the equation by h to find the y-coordinate of the equation ⇒ kThe maximum height equal the value of k

Let us do that

∵ y = -16x² + 480x

a = -16 ⇒ the vertex is a maximum point

b = 480

→ Use the rule above to find h

∵ h = [tex]\frac{-b}{2a}[/tex]

∴ h = [tex]\frac{-480}{2(-16)}[/tex] = [tex]\frac{-480}{-32}[/tex]

h = 15

∵ k = y at x = h

→ Substitute x by 15 in the equatuion and y by k to find x

∵ k = -16(15)² + 480(15)

∴ k = -3600 + 7200

k = 3600

∵ The maximum height equal the value of k

The maximum height of the rocket is 3600

Determine the distance between the two coordinates. Round to the nearest TENTH if necessary. (5,-5) and (-2,1)

Answers

Answer:

[tex]d=9.2[/tex]

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDAS

Alg II

Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Step-by-step explanation:

Step 1: Define

Point (5, -5)

Point (-2, 1)

Step 2: Find distance d

Substitute:                    [tex]d = \sqrt{(-2-5)^2+(1-(-5))^2}[/tex]Simplify:                        [tex]d = \sqrt{(-2-5)^2+(1+5)^2}[/tex]Subtract/Add:               [tex]d = \sqrt{(-7)^2+(6)^2}[/tex]Evaluate:                      [tex]d = \sqrt{49+36}[/tex]Add:                              [tex]d = \sqrt{85}[/tex]Evaluate:                      [tex]d=9.21954[/tex]

distributive property is a property of equality
A) true
B) false

Answers

Answer:

The distributive property states that the product of an expression and a sum is equal to the sum of the products of the expression and each term in the sum.

can you guys please help me with this and fast?
∛125?

Answers

Answer:

5

Step-by-step explanation:

125 breaks down into 5×5×5, which proves that it's 5.

Answer:

5 is the right answer

Step-by-step explanation:


What is the c.o.p. that describes the relationship between h and t.

Answers

B is the answer to that question !!!

7 divided by c expression

Answers

Answer:

7/c

Step-by-step explanation:

7 divide by c is the same as 7/c

In the equation y = 2π^x, 2 is the ______ and π is the ______.

Answers

Answer:

pi(π) is the constant and x is the variable since pi is a numerical value and x can change according to the equation given.

Step-by-step explanation:

ms kim borrowed 1350 to buy to used a automobile if she repays 75 a month how many months will it take ro pay back the loan

Answers

Answer:

18 months

Step-by-step explanation:

since 1350/75 is 18

For which values of A, B, and C will AX +BY=C be a vertical line through the point (8,6)
A. A=1, B=0, C=6
B. A=1, B=0, C=8
C. A=0, B=1, C=6
D. A=0, B=1, C=8

Answers

Answer:

B. A = 1, B = 0, C = 8

Step-by-step explanation:

The equation of a vertical line is

x = c

where c is the value of the x- coordinates the line passes through.

The line passes through (8, 6) with x- coordinate 8, thus

x = 8 is the equation of the vertical line

In comparison to

Ax + By = C, then

A = 1, B = 0, C = 8, that is

x + 0 = 8

x = 8 being the required equation

i gotta another question!!
−6+x/8=1
Solving Two-Step
p.s the -6 + x is both on top of 8

Answers

Answer:

14

Step-by-step explanation:

-6+x=1

8

-6+x=1×8

x=8+6

x= 14 ans

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