A line passes through the point (-8,5) and has a slope of -3/4 .

Write an equation in slope-intercept form for this line.

A Line Passes Through The Point (-8,5) And Has A Slope Of -3/4 .Write An Equation In Slope-intercept

Answers

Answer 1

Answer:

Step-by-step explanation:

Formula

The basic formula is

y = mx + b

m = the slope

b = the y intercept

What you know so far

y = mx + b.

You know that the slope = -3/4

y = - 3/4 x  + b

y intercept

The point is used to find the y intercept.

x = - 8

y = 5

Subtitute these two values into the equation above.

5 = -3/4 * (-8) + b          Multiply the factors on the right

5 =  6 + b                      Subtract 6 from both sides

5 - 6 = b                       Combine

-1 = b

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

Answer 2

Answer:

[tex]\Longrightarrow:\boxed{\sf{y=-\dfrac{3}{4}x-1}}[/tex]

Step-by-step explanation:

Use the slope-intercept form.

Slope-intercept form:

[tex]\Longrightarrow: \sf{y=mx+b}[/tex]

The m represents the slope.The b represents the y-intercept.

X= (-8)

Y= 5

[tex]\sf{5=-\dfrac{3}{4}*(-8)+b}[/tex]

5=6+b

Subtract the sign.

5-6=b

Solve.

Isolate the term of b from one side of the equation.

Subtract the numbers from left to right.

⇒ 5-6=-1

⇒ -1=b

Change the equation.

⇒ b=-1

So, therefore, the y-intercept is -1.

[tex]\Longrightarrow: \boxed{\sf{y=-\dfrac{3}{4}x-1}}[/tex]

Therefore, the correct answer is y=-3/4x-1.

I hope this helps! Let me know if you have any questions.


Related Questions

Which temperature during the week is farther from 0? Explain how you decided this using absolute value

Answers

Answer:

The farthest temperature from zero during the week is 5 °F because it's absolute value, 5, is the highest out of all the other numbers.

Step-by-step explanation:

Identify the solution to the system of equations
{x=-2y-6 -3x-7y=18

Answers

Answer:

(- 6, 0 )

Step-by-step explanation:

x = -2y - 6 → (1)

- 3x - 7y = 18 → (2)

substitute x = - 2y - 6 into (2)

- 3(- 2y - 6) - 7y = 18 ← distribute parenthesis and simplify left side

6y + 18 - 7y = 18

- y + 18 = 18 ( subtract 18 from both sides )

- y = 0 , then

y = 0

substitute y = 0 into (1)

x = - 2(0) - 6 = 0 - 6 = - 6

solution is (- 6, 0 )

Answer:

  (x, y) = (-6, 0)

Step-by-step explanation:

A system of equations is easily solved using a graphing calculator. The attached shows the solution to be ...

  (x, y) = (-6, 0)

__

The first equation gives a convenient expression for substituting for x in the second equation:

  -3(-2y -6) -7y = 18

  18 -y = 18 . . . . . . . . simplify

  y = 0 . . . . . . . . add y-18

  x = -2(0) -6 = -6

The solution by substitution is (x, y) = (-6, 0).

Write the number names 438543=
ii)80,100,001​

Answers

Answer:

Four lakhs thirty eight thousand five hundred fourty three.

ii)Eight crore ten lakhs one

Follow me friend

Answer:

i)four hundred thirty eight thousand five hundred forty three

ii) eighty million one hundred thousand one

Find c.
Write your answer in simplest radical form.

Answers

Answer:

c = 3.46

Step-by-step explanation:

use tangent to find c

2 tan 60 = c

firstly label the sides

let me know if you need further explanation on how I got my answer

Can someone help???????

Answers

Answer:

8x-3y-24

Step-by-step explanation:

[tex] \frac{3}{4} y = 2x - 6 \\ \\ \\ 3y = 4(2x - 6) \\ \\ 3y = 8x - 24 \\ \\ 8x - 3y - 24 = 0 \\ \\ \\ is \: the \: required \: equation[/tex]

PLEASE SOMEONE HELP!!

Answers

Take the lowest point (0,-3) and move it left 3 and up 6 to get it to (-3,3) and just sketch an approximate shaped u to match the original graph. It doesn’t have to be accurate because the question says so.

Please help me on this equation

3 3/4 ÷ 5/7 =

Answers

Answer:

5  1/4

Step-by-step explanation:

3 3/4  / ( 5/7) =

15/4  / ( 5/7) =

15/4  *  7/5  =

(15*7) / (4*5 )

105 / 20  =  5 1/4

Answer:

5.25

Step-by-step explanation:

Turn mixed number into a improper fraction.

Divide fraction by 20.

It doesn’t matter if 5 1/4, or 21/4 or 5.25., they all equal the same.

Peter is saving to buy a new skateboard. He deposits the same amount each week into his savings account. How much money does he save each week?

Week Money in Savings Account
0 $12.00
1 $17.75
2 $23.50
3 $29.25

Answers

The saves 5.75 dollars each week

Find the perimeter of the composite figure using pi

Answers

Answer:

  (3 +1.5π) ft ≈ 7.71 ft

Step-by-step explanation:

We see a semicircle, not a "composite figure." The perimeter of the semicircle is the sum of the length of the arc and the length of the straight edge:

  P = (1/2)πd +d . . . where d is the diameter and πd is the full circumference

  P = d(1 +π/2)

  P ≈ (3 ft)(1 +1.57) = 7.71 ft . . . . . using 3.14 for π

The perimeter of the figure is about 7.71 feet.

__

In terms of pi, the perimeter is ...

  P = (3 +1.5π) ft

The point B is at the centre of the circle. The points P and Q are on the circumference of the circle. Calculate the area of the shaded sector. Take it to be 3.142 in your working. Give your final answer to 1 decimal place. ​

Answers

Answer: 24.7 square cm

Step-by-step explanation:

PLS HELP ME ILL GIVE YOU BRAINIEST

Answers

The answer to that question is 32.6 hope that helps

Find the volume of the prism or compound shape.

Answers

The volume of the compound shape, that is the object formed by two hemispheres and a right cylinder is 66π in³.

How to determine the volume of the compound shape

The volume is the space occupied by an object. The volume of the compound shape equals the sum of the individual volumes, that is, of each part, which are represented by two hemispheres and a right cylinder.

Now we proceed to determine the volume of the compound shape (V), in cubic inches, by apply the following calculation:

V = (4/3) · π · (3 in)³ + π · (3 in)² · (10 in)

V = 66π in³

The volume of the compound shape, that is the object formed by two hemispheres and a right cylinder is 66π in³. [tex]\blacksquare[/tex]

To learn more on volumes, we kindly invite to check this verified question: https://brainly.com/question/13338592

דיי יוטורסם
$9000 is invested at 8% compounded quarterly. In how many years will the account have grown to $14,500?
Round your answer to the nearest tenth of a year

Answers

i could be wrong but 1.5 years?

Mr. Vance opened an account with a deposit of $650.
• The bank pays 1.25% interest compounded annually on this account.
• Mr. Vance makes no additional deposits or withdrawals.
How much interest will the account have earned at the end of 12 years?

Answers

Answer:

  $104.49

Step-by-step explanation:

The future value of the account is given by the formula ...

  FV = P(1 +r)^t

The interest earned is the difference between that future value and the original amount deposited.

  I = FV -P

__

For the given investment, rate, and time, we find the interest to be ...

  I = $650((1 +0.0125)^12 -1) = $650(0.160755) = $104.49

Mr. Vance's account will have earned $104.49 in interest at the end of 12 years.

Consider the number 9,953.
Is this number divisible by 2, 3, 4, 5, 9, or 10? Provide justification for
each number without using a calculator.
Hint: If a number is not divisible by 2, then what other numbers is it
also not divisible by?
Write your answer in complete sentences.

Answers

Answer:

No for all of them

Step-by-step explanation:

2 --> not even

3 --> of the sum of the numbers are not divisible by three

4 --> the last two digits are not equal to a multiple of four

5 --> the last digit is not ending with 0 or 5

9 --> the sum of the digits is not equal to a multiple of nine

10 --> the last number is not zero

You have 31 coins consisting of nickels and
dimes. The coins total $2.25. How many coins
are nickels? How many are dimes?

Answers

Answer:

There are 14 dimes and 17 nickels.

Step-by-step explanation:

Let x be number of nickels and let y be number of dimes.

Given that the total is $2.25 and there are 31 coins, we know that:

[tex]0.05x +0.10y = 2.25[/tex]

[tex]x+y = 31[/tex]

Solving for x yields:

[tex]x=31-y[/tex]

We then proceed by plugging that back into the previous equation:

[tex]0.05(31-y)+0.10y=2.25[/tex]

[tex]1.55 - 0.05y +0.10y = 2.25\\[/tex] --> Distribute

[tex]1.55 +0.05y=2.25[/tex] --> add y's together

[tex]0.05y=0.7[/tex] --> subtract 1.55

[tex]y=14[/tex] --> divide by 0.05

Therefore, x must equal 17, which means you have 14 dimes and 17 nickels.

You want to save for retirement. assuming you are now 25 years old and you want to retire at age 50, you have 25 years to watch your investment grow. you decide to invest in the stock market, which has earned about 13% per year over the past 80 years and is expected to continue at this rate. you decide to invest $1,000 today. required: how much do you expect to have in 25 years?

Answers

Answer:

4250

Step-by-step explanation:

0.13 = 13%

1000×0.13=130
130×25= 3250 + 1000 = 4250

What I did:

You have to turn the percent to a decimal first

Then multiply the decimal by the first investment amount (1000)

then multiply that by the years that you have before retirement
You add that amount plus the 1000 you have started with

If f(x)=3x^6+4x^3-4, then what is the remainder when f(x) is divided by x+1?

Answers

Answer:


-5


f(-1) would be the remainder



18
p.7 Central Angles and Inscribed Angles
#4 What is the measure, in degrees, of arc JKI ?
4) MJKI
80°
K
mJKI =
degrees

Answers

Answer:

280°

Step-by-step explanation:

There are 360° in a circle. you are given an arc that is 80°.

To find the arc JKI, subtract 80 from 360.

360 - 80 = 280°

Is 336 − –5,083 positive or negative?

Answers

Answer:

positive

Step-by-step explanation:

if you subtract a negative number, it’s the same as adding a positive number. If you add 2 positive numbers, you get a positive number, so the expression is positive.

Find the length of the third side. If necessary, round to the nearest tenth
Pythagorean Theorem (Rounding)

Answers

Pythagorean theorem: a^2+b^2=c^2

3^2+b^2=5^2
9+b^2=25
b^2=16
b=Sqrt[16]
b=4

Length of the third side = 4

based on the diagram given, find the value of x and y

Answers

Answer:

x = 6 , y = 2

Step-by-step explanation:

81x + 10 = 5y + 486 ............ (1)

9x + 40 = 20y + 54 ............ (2)

(1) × 4 - (2)

315x = 1890

x = 6 -------> (2)

9(6) + 40 = 20y + 54

20y = 94 - 54

y = 2

(1+sint)/(cost)-(cost)/(1-sint)

Answers

[tex]\dfrac{1+\sin(t)}{\cos(t)} - \dfrac{\cos(t)}{1-\sin(t)}[/tex]

Multiply through the second term by [tex]1+\sin(t)[/tex] :

[tex]\dfrac{1+\sin(t)}{\cos(t)} - \dfrac{\cos(t)}{1-\sin(t)}\cdot\dfrac{1+\sin(t)}{1+\sin(t)}[/tex]

[tex]\dfrac{1+\sin(t)}{\cos(t)} - \dfrac{\cos(t)(1+\sin(t))}{1-\sin^2(t)}[/tex]

Recall that [tex]\cos^2(x)+\sin^2(x)=1[/tex] for all x :

[tex]\dfrac{1+\sin(t)}{\cos(t)} - \dfrac{\cos(t)(1+\sin(t))}{\cos^2(t)}[/tex]

If [tex]\cos(t)\neq0[/tex], we can cancel a factor of it in the second fraction.

[tex]\dfrac{1+\sin(t)}{\cos(t)} - \dfrac{1+\sin(t)}{\cos(t)}[/tex]

and this simplifies to

[tex]\dfrac{(1+\sin(t))-(1+\sin(t))}{\cos(t)} = \boxed{0}[/tex]

Roger has a rope that is 3 feet long.He needs to cut it into 12 equal length pieces.How many feet loń should each piece of the rope be?

Answers

Answer:

0.25

Step-by-step explanation:

3/12 is 0.25

3 divided by 12 when simplified or reduced

The fraction 3/12 is equal to the exact decimal number.

what would you do to solve the system: y=x+3 and y=x^2+x-6

Answers

i think you would make both equations equal each other? so i believe your answer is x=3 but i’m not positive

How do u solve this equation? I’m struggling with it.
2a+3c=61
3a+5c=96

Answers

Answer:

a=17

c=9

Step-by-step explanation:

balls

Answer:

c=9 and a=17

Step-by-step explanation:

1. 2a+3c=61

2. 3a+5c=96

the LCM between 2 and 3 is 6 so

equation 1 *3

3.6a+9c+183

equation 2*2

4. 6a+10c=192

equation 3 - equation 4

5. -c=-9

c=9

substitute c into equation 1 or 2 to find a

3a+5(9)=96

3a+45=96

3a=51

a=17

given data 4,x,9,5,2,7 find x if the mode is 4

Answers

Answer:

x = 4

Step-by-step explanation:

This is because the definition of mode is the number that appears the most or is the popular of the numbers in the data set.

This could be any number since each number is listed once, but the requirements/directions say the mode is 4 so you need another 4 in order to have a mode of 4.

Bella is typing a 400 word essay. She types 50 words in 2 minutes.
Enter an equation in the form of y=mx+b, that represents the number of words (y) remaining to type after x minutes.

Answers

Answer:

[tex]y=25x[/tex]

Step-by-step explanation:

If Bella types 50 words in 2 minutes, we can divide 50 by 2 to see how many words she types in 1 minute.

[tex]50/2=25[/tex]

So, Bella types 25 words per minute. When she first began writing her essay, she did not have words to start with, so there is no y-intercept ([tex]b[/tex]).

Therefore, the equation that represents this relation is [tex]y=25x[/tex].

Solving the equation

We can divide 400 by 25 to determine how many minutes it would take her to finish her essay.

[tex]\frac{400}{25} =16[/tex]

Therefore, it will take her 16 minutes to complete her essay.

#LearnWithBrainly

1.5 = 0.25 + g

solve the equation and find the value of the variable

Answers

Answer:

its easy it should be 1.25 or well that the answer I got

Determine the equation of the line shown in the graph:
10
-8 -6 -4 -2.
-
I
y = -1
y = 0
Ox=-1
X=0

Answers

Answer:

X=-1

Step-by-step explanation:

As you can see the line is not intercepting at y also

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