what is the equation of the line that passes through the point (-4,2) and has a slope of -5/4

Answers

Answer 1

Answer:

The answer is

[tex] \huge y = - \frac{5}{4} x - 3[/tex]

Step-by-step explanation:

To find an equation of a line given the slope and a point we use the formula

[tex]y - y_1 = m(x - x_1)[/tex]

where

m is the slope

( x1 , y1) is the point

From the question the point is (-4,2) and slope of -5/4

We have

[tex]y - 2 = - \frac{5}{4} (x + 4) \\ y - 2 = - \frac{5}{4} x - 5 \\ y = - \frac{5}{4} x - 5 + 2[/tex]

We have the final answer as

[tex]y = - \frac{5}{4} x - 3 \\ [/tex]

Hope this helps you


Related Questions

How can x-2/3=5/6 be solved for x in one step?

Answers

Answer:

Add [tex]\frac{2}{3}[/tex] to both sides.

Step-by-step explanation:

[tex]x - \frac{2}{3} = \frac{5}{6}\\\\x - \frac{2}{3} + \frac{2}{3} = \frac{5}{6} + \frac{2}{3}\\\\x = \frac{3}{2}[/tex]

4x = 19, when x equals 5. True false or open

Answers

Answer:

false

Step-by-step explanation:

if x equals 5 then 4 times 5 would equal 20 not 19

Answer:

False

Step-by-step explanation:

Because if we subsitute x as 5.

4x = 19

4(5) = 19

20 = 19

4 times 5 equals 20, not 19. Therefore it is false.

Round 9991.55314546 to the nearest thousand.

Answers

Answer:

9991.553

Explanation:

Thousands is 0.001 and the number that fall there is is 9991.553

What is the equation of the line that passes through the point (-2,0) and has a slope of -2

Answers

Answer:

y = -2x -4

Step-by-step explanation:

The equation of a line is y = mx + b, where m is the slope of the line, and b is the y-intercept.  We are told that the slope of the line is -2, so we can start with

y = mx + b

y = -2x + b

We can figure out the value of b by plugging in the coordinates of the point given (-2, 0)

0 = -2(-2) + b

0 = 4 + b

Subtract 4 from both sides of the equation

-4 = b

Then plug that value of b back into the equation above:

y = -2x + (-4) or y = -2x -4

Answer:

y=mx+c

we will find c

0=(-2)(-2)+c

c=-4

y=-2x+(-4)

y=-2x-4

2x+y+4=0

What is the slope-intercept equation of the line below?
A. y = -2x - 1
B. y = 2x + 1
O C. y=-2x+1
O D. y = 2x - 1

Answers

Answer:

Pretty sure it is A. y = -2x - 1

Step-by-step explanation:

y = mx + b

m is slope

b is y - intercept

y-intercept = point where line intercepts the y - axis. in this graph, it intercepts at (0, -1)

by counting the squares, you see this line has a rate of change of up two left one which is 2/-1 or -2. that is the slope

your photo is super blurry so it's hard to tell, but i'm 99% sure i am correct.

The slope-intercept equation of the line is y=-2x-1. Therefore, option A is the correct answer.

We need to find the slope-intercept equation of the line.

What is the slope-intercept equation?

Slope-intercept form, y=mx+b, of linear equations, emphasizes the slope and the y-intercept of the line.

The coordinates of the line (-1, 1) and (1, -3).

The slope of the equation is [tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]

Now, m=-3-1/1+1=-2

Substitute m=-2, x=-1 and y=1 in y=mx+b.

That is, 1=-2(-1)+b⇒b=-1

So, y=-2x-1

The slope-intercept equation of the line is y=-2x-1. Therefore, option A is the correct answer.

To learn more about the slope-intercept equation visit:

https://brainly.com/question/21298390.

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Name:
The triangles below are similar. Find the value of x.
17.
25° -
25°
x
120°
4
16
X
120°
12
someone help me !!!

Answers

X= 120

Step by step explanation: please mark me as brainliest.

Use the marginal tax rates in the table below to compute the tax owed in the following situation.

Paul is the head

Answers

Answer:

هذه معادلة قوية جدا وبسيطةهذه معادلة قوية جدا وبسيطةهذه معادلة قوية جدا وبسيطةهذه معادلة قوية جدا وبسيطةهذه معادلة قوية جدا وبسيطةهذه معادلة قوية جدا وبسيطة

Step-by-step explanation:

هذه معادلة قوية جدا وبسيطةهذه معادلة قوية جدا وبسيطةهذه معادلة قوية جدا وبسيطةهذه معادلة قوية جدا وبسيطةهذه معادلة قوية جدا وبسيطةهذه معادلة قوية جدا وبسيطة

Simplify 9(y + 7)
63y
7y + 9
9y + 63
16y

Answers

Answer:

c 9y +63

Step-by-step explanation:

9times y is 9y and 7 times 9 is 63

The Answer is 9y + 63 because you multiply 9 x Y to get 9y and 9x7= 63 so it’s 9y+63

Mathematics, average rate of change.

Answers

|| ▼ Answer ▼ ||

The average rate of change per year from 1 to 5 is 8inches

Step-by-step explanation:

Given

[tex]h=t^{2}+2t+10[/tex]

The average rate of change = [tex]\frac{h(5)-h(1)}{5-1}[/tex]

Now h(5)

[tex]\boxed{h(5)=-5^{2}+2(5)+10 }[/tex]

[tex]\boxed{h(5)=25+10+10}[/tex]

[tex]\boxed{h(5)=45}[/tex]

Now, h(1)

[tex]\boxed{h(1)=-1^{2}+2(1)+10}[/tex]

[tex]\boxed{h(1)=1+2+10}[/tex]

[tex]\boxed{h(1)=13}[/tex]

[tex]\boxed{Average~change~rate=\frac{h(5)-h(1)}{5-1} }[/tex]

[tex]\boxed{Average~change~rate=\frac{45-13}{5-1}=\frac{32}{4}=8 }[/tex]

The final answer

The average rate of change per year from 1 to 5 is 8 inches

Hope this helps!

If you have any questions please ask.

HELP ME PLZZ I NEED HELP WITH THIS NOW!!

Answers

Believe the answer is A
A. Not sure tho. Sorry

Given the following a=3,b=4, what is the length of side c?
5
6
4

Answers

Answer:

C=5

Step-by-step explanation:

3^ + 4^2 = 25

and the square root of 25 is 5 therefore C=5

Spell red?

What color is a carrot ?

If you dig a 6 feet hole how deep is that hole?

Answers

Red,orange,6 feet................
R E D= red. Carrot is the color Orange. And the hole would be 6 feet deep:) give me brainliest cause I got yeeted out of my other acc and just had to make this one

Help will give all if right
She begins 190 feet below sea level.
After descending for 3 seconds, she's 266 feet below sea level.

Find the rate of change in the submarine's elevation in feet per second. Round your answer to the nearest tenth.

Answers

Answer:

25.3 feet per second

Step-by-step explanation:

First, let's find how much did she go down in those 3 seconds.

266-190=76

Now, let's divide 76 by 3 to find how much did she go down in 1 second

76/3=25 R1

Now, let's change 25 R1 to a Fraction.

25 remainder 1 to fraction will be 25[tex]\frac{1}{3}[/tex]

Now, let's find the decimal answer

25[tex]\frac{1}{3}[/tex] will be 25.33(33333)

Now, let's round our answer to the nearest tenth

25.33

so, 3 is closest to 0 not to 10

So hence, our answer is 25.3

So, the submarines elevation was changing at a rate of 25.3 feet per second

Thanks!

Mark me brainliest!

~[tex]FieryAnswererGT[/tex]~

The circumference of a circle is 125.6 centimeters. What is the circle's diameter?
C=125.6 cm
Use 3.14 for ​.

Answers

Answer:

40cm

Step-by-step explanation:

The formula to find the circumference is :

C = π × d

Here,

d ⇒ diameter

Given that,

Circumference = 125.6cm

Now let us find the diameter of the circle.

C = π × d

125.6 = 3.14 d

Divide both sides by 3.14.

40 cm = diameter

What is the volume of this figure? Enter your answer in the box. m³ A right triangular prism with a trapezoidal prism. The triangular prism has a base length of 8 meters, and a base height of 4 meters. The height of the prism is 14 meters. The trapezoidal prism shares a face with the triangular prism. The trapezoid base has lengths of 5 meters and 8 meters and a height of 3 meters. The height of the trapezoidal prism is 14 meters.

Answers

Volume of the figure = volume of triangular prism + volume of trapezoidal prism = 497 m³.

What is the Volume of a Prism?

Volume of any prism = Base area × height of the prism

Thus:

Volume of the figure = volume of triangular prism + volume of trapezoidal prism

Volume of triangular prism = 1/2(b×h)×L = 1/2(8 × 4) × 14

Volume of triangular prism = 224 m³

Volume of trapezoidal prism = 1/2(b1+b2)×h×L = 1/2(8 + 5) × 3 × 14

Volume of trapezoidal prism = 273 m³

Volume of the figure = 224 + 273 = 497 m³.

Learn more about volume of prism on:

https://brainly.com/question/23963432

Answer:

497

Step-by-step explanation:

help me i need explanation on how thanks!

Answers

Answer:

Answer:B AND E ARE CORRECT

Answer:B AND E ARE CORRECTStep-by-step explanation:

WE'RE SIMPLY COMPARING TWO SIMILAR SIDES OF THE FIQURES. NOTE: the pattern must be the same I mean if we start with the larger figure being on top then that is how the rest comparisons should follow. I hope this will help!

6
Find the length of the hypotenuse in the following figure,
16 km
12 km
Figure not drawn to scale
I
C=
Kilometers

Answers

Answer:

c = 20 Km

Step-by-step explanation:

using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other two sides , that is

c² = 12² + 16² = 144 + 256 = 400 ( take square root of both sides )

c = [tex]\sqrt{400}[/tex] = 20

Multiplicative inverse of (7/3)^-3

Answers

Hello.

First, let's calculate

[tex]\tt{\displaystyle(\frac{7}{3}) ^{-3}[/tex]

Remember the Properties of Exponents:

If we have a number to a negative power, we flop the number over:

[tex]\tt{a^{-b}=\displaystyle\frac{1}{a^b}[/tex]

Now, let's use this property to simplify our expression.

Flop the number over:

[tex]\tt{\displaystyle(\frac{3}{7} )^3[/tex]

Now, we should recall another property of exponents:

[tex]\tt{\displaystyle(\frac{a}{b} )^m=\frac{a^m}{b^m}[/tex]

Since we have a fraction to a power, we should raise both the numerator and the denominator to the power:

[tex]\tt{\displaystyle\frac{3^3}{7^3}[/tex]

3 cubed is 9, and 7 cubed is 343:

[tex]\tt{\displaystyle\frac{9}{343}[/tex]

Now, the multiplicative inverse of that number is simply that number flopped over:

[tex]\Large\boxed{\tt{\displaystyle\frac{343}{9} }}[/tex]

I hope it helps.

Have a great day.

[tex]\boxed{imperturbability}[/tex]

Hi there! I am EnjoyingLife, and I hope you find my answer helpful! :)

STEPS:

First we have a negative power so we flop the number over

Then since we have a fraction to a power we raise both the top & bottom to that power.

Then, we flop the number over once more to find the multiplicative inverse.

Hope it helps!

The completely factored form of the polynomial is f(x) =
.

Answers

The answer is: (x-3)(x-1)(x+2)

Because the first term is x^3, it means that there must be 3 independent x's multiplying by each other. From there you just have to est what numbers to pair them with. If that doesn't make sense let me explain more:If you have x^2 it will be:(x + y) (x + z) If you have x^3 it will be: (x + y) (x + z) (x + g) If you have x^4 it will be: (x + y) (x + z) (x + g) (x + f) etc; now all you have to do after you pick which one it matches with, it just find what the value of y, z, and g are through trial and error. I am not showing all my trial and error because it is long to type out, easier to just explain the process.

Classify each polynomial as constant, linear, quadratic, or cubic. Combine like terms first. X3 − 2x x3 4x2 − 6x − 8x2 6x − 6 6x 5 4x2 − 4x2 5.

Answers

Answer:

no 8x is the no a questions

Answer:

x3 − 2x + x3  ⇒ cubic

4x2 − 6x − 8x2  ⇒ quadratic

6x − 6 + 6x  ⇒ linear

5 + 4x2 − 4x2 + 5  ⇒ constant

Step-by-step explanation:

For the other question its

Classify each polynomial as a monomial, binomial, or trinomial. Combine like terms first.

x3 + 3x3 + 2x  ⇒ binomial

2x3 + 5x + 3x4 − x  ⇒ trinomial

4x − 5x + x − 2  ⇒ monomial

6x2 + 5 − 2x2 − 9  ⇒ binomial

What kind of expression is:


Answer quickly, correct answer will get brainlist

Answers

Answer:

The answer is A. ( x-3/x-6  x X^3 + 5/x+1 ) is rational because it is a product of rational expressions since rational expressions are closed under multiplication.

Step-by-step explanation:

12-(-6)+7+(-8)=

14+(-6)-(-8)+5=

-9-8+15+(-3)= ​

Answers

Answer:

1. 12-(-6)+7+(-8)=  17

2. 14+(-6)-(-8)+5=  21

3. -9-8+15+(-3)= ​ -5

hope i helped!

Step-by-step explanation:

The first is 17
The second is 21
The last is -5

Four less than the product of eight and the number g is equal to ten more than g.

Answers

Answer:

g = 7

Step-by-step explanation:

Follow the attachment.

Solving four less than the product of eight and the number g is equal to ten more than g is equal t0 2.

Let the number be g.

To write the word sentence as an algebraic equation:

In this exercise, we are required to translate the word sentence into a mathematical (algebraic) expression and solve for the unknown variable (number):

Four less than the product of eight and the number g:

[tex]8g-4[/tex]   ....equation 1.

Ten more than g:

[tex]g+10[/tex]   ...equation 2.

Equating the two equations, we have:

[tex]8g-4=g+10\\\\8g-g=10+4\\\\7g=14\\\\g=\frac{14}{7}[/tex]

g = 2

Read more: https://brainly.com/question/22970937

HELP FOR ASSESSMENT!!!!!
A library contains 60,000 books. 14,000 are on the subject of business, 22,000
are on healthcare and 12,000 on psychology and law. What percentage of the
library’s books is on computing, if computing books make up two-thirds of the
remainder?

Answers

Answer:

108,000

Step-by-step explanation:

60000+22000+12000+14000=108000

PLEASE HELP

49. A $52 item is marked up 10% and then marked down 10%. What is the final price? (Be
careful!)

Answers

52$ marked down 10% it become 46.8$
Again it will be 42.12$

Hope this helps.

Question 7 (2 points) Every six months, Jamison deposits $450 into an interest-bearing account to save for her children's tuition. The interest rate on the account is 6.8% compounding semiannually. What is the present value of the investment if Jamison's children leave for college in 8 years? (2 points) a $4,600.84 b $4,307.90 c $5,483.45 d $5,669.89

Answers

Answer:

PV= $5,483.45

Step-by-step explanation:

Giving the following information:

Semiannual deposit= $450

i= 0.068/2= 0.034

Number of periods= 8*2= 16

First, we need to calculate the future value using the following formula:

FV= {A*[(1+i)^n-1]}/i

A= semiannual deposit

FV= {450*[(1.034^16) - 1]} / 0.034

FV= $9,362.30

Now, we can calculate the present value:

PV= FV/(1+i)^n

PV= 9,362.30 / 1.034^16

PV= $5,483.45

last problem thanks for your help i could go to sleep now ​

Answers

Mat A has more cmvalue because b is filled with negative

The Newman's living room is a rectangle measuring 17 ft by 22

Answers

Hope this helps . Picture is not thgood best but it’s fine to me

PLS HELP ASAP ILL GIVE BRAINLYEST
arrows Are the passage pls read the passage
→Now, back when I was a kid, the closest thing to sending an e-mail was tying a note to a pigeon and throwing him in the direction of the person you wanted to talk to. I never thought in a million years that I'd be sued for illegally downloading music.
I was doing my morning crossword puzzle, enjoying my coffee and prune juice, when the mailman knocked on my door. I got some not-so-good news in a letter from a company called the Recording Industry Association of America, or the RIAA for short. They're the folks who represent record companies and their performers. They told me in this pretty, pink stationery that I was violating copyright laws by downloading music off the Internet, and they weren't too happy about it. Copyright laws are these doohickeys that give artists, writers, or musicians control over how their work is used and reproduced. Apparently, today, downloading music is like when we used to steal a pie off old Ms. Roundtree's windowsill. But, rather than a paddle to the keister, the RIAA will sue your keister.
Now, the funny thing is, I didn't even know I had connection to the Internet, let alone how to download a song by P-Doody, or whatever that wisecracking young man's name is. So, I had a talk with my grandkids (whom I've nicknamed Up To and No Good) after this little runabout with the law, because I have a sneaking suspicion that they might have something to do with this.
My computer now has a password function to keep mischievous whippersnappers from getting their old granddad thrown behind bars. This is a great thing, except now I'm having a hard time remembering the password.←

Grandpa Murphy is shocked about being sued for illegally downloading music. Which choice best explains why Grandpa Murphy is so shocked?

A.) He didn't do anything wrong.
B.) He had created a password function.
C.) He didn't know he had an Internet connection.
D.) He doesn't know how to download music.

Answers

Answer:

I think it's A, but I'm not sure :)

Answer:

D.) He doesn't know how to download music.

m=1/2 and the y intercept is (0,-5) what is the equation of the line in slope intercept form

Answers

Answer:

y = 1/2x-5

Explanation:

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and  b is the y-intercept

All you really have to do here is  replace m with 1/2, which is the slope you gave, and  replace b with -5, the y-intercept you gave,  in the equation y=mx+b. And you will get y = 1/2x-5

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