Write an equation of the line that passes through the given point and has the given slope. (1,-5); slope: - 2/3 SLOPE INTERCEPT FORM​

Answers

Answer 1

Answer:

y  =   [tex]-\frac{2}{3}[/tex] x -  [tex]-\frac{13}{3}[/tex]

Step-by-step explanation:

Given dimensions:

   Slope  = [tex]-\frac{2}{3}[/tex]  

  Coordinates  = (1, -5)

Now;

 Equation of the line through the given points;

   

Solution:

 The equation of a line is given as;

          y  = mx + c

x and y are the coordinates

m is the slope

c is the intercept

 So;

  let us find the y-intercept;

           -5  =  [tex]-\frac{2}{3}[/tex]   x 1 + C

             c  = -5 + [tex]\frac{2}{3}[/tex]  = [tex]-\frac{13}{3}[/tex]

The equation of the line is ;

  y  =   [tex]-\frac{2}{3}[/tex] x -  [tex]-\frac{13}{3}[/tex]


Related Questions

awnser please thank you​

Answers

1/2 + 2 is the answer, so the last one

Answer: [tex]y=\frac{1}{2} x+2[/tex]

Step-by-step explanation:

The format for these equations are y=mx+b. Find the slope, which is the change in y over the change in x. When you apply this formula, you get 1/2. To find the y-intercept, just count from the origin to the place the line meets the y-axis, which is 2. Putting it together, you get the equation [tex]y= \frac{1}{2}x+2[/tex]

Molly read 50 out of the 200 pages in her fiction book. Joel is also reading a fiction book, but his book has 280 pages in total. If Joel reads x pages such as the ratio of pages he read is a equivalent to the ratio of pages molly has read, find the value of x.

Answers

Answer:

[tex]x = 70[/tex]

Step-by-step explanation:

Given

Molly: 50 out of 200

Joel: x out of 280

Required

Find x

Start by representing the giving parameters as ration

Molly= 50 : 200

Joel = x : 280

From the question, the ratios are equivalent. So,

[tex]50 : 200 = x : 280[/tex]

Convert to fractions

[tex]\frac{50}{200} = \frac{x}{280}[/tex]

Solve for x

[tex]x = \frac{50}{200} * 280[/tex]

[tex]x = \frac{1}{4} * 280[/tex]

[tex]x = \frac{280}{4}[/tex]

[tex]x = 70[/tex]

If x = 45, solve for y y = 5/9 x

Answers

Answer: Let's solve your equation step-by-step.

yy=59(45)

Answer:

y=5 or y=−5

Answer:

y = 25

Step-by-step explanation:

y = 5/9 x, x = 45

y = 5/9 × 45

y = 5 × 5

y = 25

Solve the following equation for x.
-4x = 28

Answers

Answer:

The answer is x=-7

Step-by-step explanation:

hope that helps

To find the x divide both side by -4

-4x = 28

-4x/-4=28/-4

x= -7

What is (3x2+x-1)(x^4-2x+1)

Answers

Answer:

3x^6+x^5-x^4-6x^3+x^2+3x-1

Step-by-step explanation:

I am doing a science project and need a fun or short title. The project is on whether filtered water affects plant growth. Any creative title ideas? Will give brainliest for best one!

Answers

Heres an idea, ask if you need more :)

Step-by-step explanation:

I Wet My Plants: The Effect of Different Types of Water on the Growth of Plants

What times 2 is -9? plz help

Answers

Answer:

-4.5

Step-by-step explanation:

-9/2= -4.5

What is the vertex for the equation f (x) = 6(x – 10)2 – 4?​

Answers

Answer:

             (10, -4)

Step-by-step explanation:

The vertex form of the equation of quadratic function with vertex (h, k) is:

f(x) = a(x - h)² + q

f(x) = 6(x - 10)² - 4    - given function

so:

a = 6,  h = 10,  q =  -4

two customers went to a dry cleaners to get clean their shirts and pants. Each shirt cleaning costs the same amount, and each pants cleaning costs the same amount. The first customer paid $30.00 for 5 shirt cleanings and 3 pants cleaning. The second customer paid $29.00 for 3 shirt cleanings and 4 pants cleaning. What was the cost, in dollars, of each shirt cleaning?

Answers

Answer:

$3.00

Step-by-step explanation:

5x + 3y = 30 - - - - - 1 x 4

3x + 4y =29 - - - - - -2 x 3

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

20x +12y = 120 - - - - 3

9x + 12y = 87 - - - - - 4

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

3-4

20x - 9x= 120 - 87

11x = 33

X= 33

11

X = 3

The cost of cleaning each shirt is 3 dollars.

What is a linear equation?

A linear equation is an algebraic equation of degree one. In general, the variable or the variables(in the case of a linear equation in two variables) the variables are x and y.

Assuming the cost of cleaning 1 shirt is x and the cost of cleaning 1 pant is y.

The first customer paid $30.00 for 5 shirt cleanings and 3 pants cleaning.

∴ 5x + 3y = 30...(i)

The second customer paid $29.00 for 3 shirt cleanings and 4 pants cleaning.

∴ 3x + 4y = 29...(ii)

Now to cancel out 'x' in both equations we multiply eqn(i) by 3 and eqn(ii) by 5.

So, 15x + 9y = 90...(iii) and 15x + 20y = 145...(iv)

Now subtracting (iii) from (iv) we get 11y = 55 ⇒ y = 5 and substituting the value of y in eqn(iv) we get x = 3.

The cost of cleaning each shirt is 3 dollars.

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What is the simplest form of the expression (14.2a + 9.8b) – (13.1b – 0.2a) – (3.7a + 4.8b)?


A. 10.7a – 8.1b


B. 10.7a + 27.7b


C. 18.1a - 8.1b


D. 18.1a + 27.7b

Answers

Answer:

A) 10.7a - 8.1b

Step-by-step explanation:

(14.2a + 9.8b) - (13.1b - 0.2a) - (3.7a + 4.8b)

Combine like terms.

(14.2a + 0.2a - 3.7a) = 10.7a

(9.8b - 13.1b - 4.8b) = -8.1b

Answer:

10.7a – 8.1b

Step-by-step explanation:

20 points, and if you're right I'll give you big brain lol, graph too please!

Answers

Answer:

The correct answer would be A I believe

what is 4h-8h simplified

Answers

Answer:

it is -4h

step-by-step explanation:

Pls help I will give brainliest . The answer choices are
x=45, y=90
x=45, y=25
x=57, y=25
x=57, y=90

Answers

Answer:

The answer is B

Step-by-step explanation:

Answer:

C. x = 57, y = 25

Step-by-step explanation:

∠LKU = 1/2∠EKU ⇒ ∠LKU = 1/2(90°) = 45°

(x - 12)° = 45°x = 57°

∠KCE = 90° as diagonals of a square are perpendicular

(4y - 10)° = 90°4y = 100°y = 100°/4y = 25°

Correct option is C. x = 57, y = 25

A graphic artist created the design for a rectangular poster. The design is 12 inches by 9 inches. The poster is 48 inches by 36 inches
What scale factor did the graphic artist use to create the design?

Answers

Answer:

4

Step-by-step explanation:

Step one:

given data

The design is 12 inches by 9 inches.

[tex]length = 12 in\\\\width = 9 in[/tex]

The poster is 48 inches by 36 inches

[tex]length = 48in\\\\width = 36 in[/tex]

Step two:

divide the dimension of the poster by the dimension of the design to get the scale factor

[tex]L= 48/12= 4\\\\W= 36/9= 4[/tex]

Hence the scale factor is 4

Answer:

if im wrong im sorry but i think it is 1/4

Stet is p-by-step explanation:

Pls help ASAP this is due tmr

Answers

Answer: "add by>" ; "65>" ; "go" im pretty sure

Step-by-step explanation:

my brain

the difference bettween 2x and 3​

Answers

Answer:

-6

Step-by-step explanation:

Answer:

3 is a whole number but 2x is 2 multiplied by a variable

What is the equation of the line in slope-intercept form that passes through the point (1,8) and is PARALLEL to line y =
4x - 72

Answers

Answer:

y=4x+4

Step-by-step explanation:

substiute the 1 for the y and the 8 for the x in the form (8=4*1+b)

subtract for so it cancels out on the right and leaves you with 4 on the left equals b on the right.

Given that a minute hand travels through 360 degrees in an hour, how many degrees does it turn in only 23 minutes?

Answers

Answer:

138 degrees

Step-by-step explanation:

360 divided by 60 equals 6

every minute equals 6 degrees

23 *  6 equal 138 degrees

Multi Step equations 11x+4=37

Answers

the answer should be x=3

Solve one fifth ÷ 3 = ___.

a one seventh
b one eighth
c one tenth
d one fifteenth

Answers

Answer:

1/5 divided by 3 is 1/15

Step-by-step explanation:

Answer:

D. one fifteenth

Step-by-step explanation:

omg I WILL MARK BRANLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! THIS IS DUE TODAY
PLZ HELP

Answers

Answer:

A

Step-by-step explanation:

Its the first letter of the English alphabet

Answer:

Please give more context to what you desire help for.

A restaurant has 26 tables in its dining room. It takes the waitstaff 10 minutes to clear and set 4 tables. At this rate, how long will it take the waitstaff to clear and set all the tables in the dining room? please hurry

Answers

Answer: 65 minutes

Step-by-step explanation: 26 / 4 = 6.5

6.5 tables per 10 minutes so 6.5 x 10 = 65 min

Answer:

1 hr and 5 minutes

Step-by-step explanation:

here's why... because 4 goes into 26 6 times with a remainder of 2 and there is 5 mins for every 2 tables and 6 times 10 is 60 which equals a hour and that will be a hour and 5 mins

I need help with these questions ( see image for question ).
Please show working.

Answers

Answer:

k = -4 ± 2√5

Step-by-step explanation:

#22

Given Equation x² -4x + 1 = k(x - 4) with equal rootsTo findThe value of kSolution

The equation in standard form is:

x² -4x + 1 = k(x - 4)x² - 4x - kx + 1 + 4 = 0x² - (k + 4)x + 5 = 0

When the quadratic equation has equal roots its discriminant is zero

D = 0b² - 4ac = 0(k + 4)² - 4*5 = 0(k + 4)² = 20k + 4 = ± √20k = - 4 ± √20ork = -4 ± 2√5

Please answer this correctly, and you'll recieve brainliest.

Answers

Answer:

The first one. The square is bc the diamond is actually a square just switching it's placement. SO IT OS THE FIRST ONE

Which representation does NOT show Y as a function of X?

Answers

Answer:

D

Step-by-step explanation:

A function is valid if each x input has a different y counterpart

In picture D both 3 and 5 repeat --> (3,2)(2,6) and (5,6)(5,8)

This would create an undefined line that would fail the vertical line test (multiple x values on one y value)

Is the order pair 1,2 2,4 3,8 4,16 a function if yes then why

Answers

No it is not a order pair. It’s not one because I did the work.

is Jerome's brother correct?​

Answers

Answer:

No he is not the 3+3 is incorrect and the 3+2 is incorrect everything after 3+1 is wrong because 3+1=4 correct 3+2 =6 incorrect 3+3=9 incorrect and so on

Step-by-step explanation:

Answer:

The table is wrong its + not x

Step-by-step explanation:

question: what are the equation and slope of the line shown on the grid
A. Y=-4
slope Unidentifiable
B. y=-4
slope is 0
C. X=-4
slope is unidentifiable
D. X=-4
Slope is 0

Answers

Answer:

B. y = -4. Slope is 0

An arithmetic sequence is represented by the recursive formula A(n) = A(n-1) + 8. If the first term in the sequence is 4, write the explicit formula

Answers

Answer:

A(n) = 4 + 8(n-1)

Step-by-step explanation:

A(n) = A(n-1) + 8

A(1) = 4

So A(2) = A(1) + 8 = 4 + 8

A(3) = A(2) + 8 = A(1) + 8 + 8 = 4 + 8 + 8

A(n) = 4 + 8(n-1)

The explicit formula for the arithmetic sequence with the given recursive formula A(n) = A(n-1) + 8 and the first term A(1) = 4 is A(n) = 8n - 4.

Given that the first term (A(1)) is 4, we can observe that each subsequent term is obtained by adding 8 to the previous term.

The general formula for an arithmetic sequence is A(n) = A(1) + (n-1)d, where A(n) represents the nth term, A(1) is the first term, n is the term number, and d is the common difference.

The first term (A(1)) is 4, and the common difference (d) is 8.

Plugging these values into the general formula, we have:

A(n) = 4 + (n-1)×8

A(n) = 4 + 8n - 8

A(n) = 8n - 4

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what 1+6? idk guys really confused

lo que uno más seis. Estoy confundido. ¡¡ayuda!! ​

Answers

Answer:

1+6=7

Step-by-step explanation:

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