What is the equation of the line in point-slope form?

What Is The Equation Of The Line In Point-slope Form?

Answers

Answer 1

Answer:

[tex]y +500 = -\frac{1}{5}(x - 100)[/tex]

Step-by-step explanation:

Given

The attached graph

Required

Determine the equation in point slope form

From the graph, we have the following points;

[tex](x_1,y_1) = (-400,-400)[/tex]

[tex](x_2,y_2) = (100,-500)[/tex]

First, we calculate the slope (m):

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{-500 - (-400)}{100- (-400)}[/tex]

[tex]m = \frac{-500 +400}{100+400}[/tex]

[tex]m = \frac{-100}{500}[/tex]

[tex]m = -\frac{1}{5}[/tex]

The equation is then calculated using:

[tex]y - y_2 = m(x - x_2)[/tex]

Substitute x and y values

[tex]y - (-500) = -\frac{1}{5}(x - (100))[/tex]

[tex]y +500 = -\frac{1}{5}(x - 100)[/tex]


Related Questions

PLEASE HELP ME ASAP!!!!!!!

Answers

Answer:

the answer is c

Step-by-step explanation:

dont mess with people who need help go earn your answers dont steal points

Pls Help! Will mark brainliest!!!! 20 Points!!!!!

Answers

Answer:

I think x = 4

Step-by-step explanation:

x3 + -2x2 + -8x = 0

Reorder the terms:

-8x + -2x2 + x3 = 0

Solving

-8x + -2x2 + x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.

x(-8 + -2x + x2) = 0

Factor a trinomial.

x((-2 + -1x)(4 + -1x)) = 0

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve:

Simplifying

x = 0

Solving

x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying

x = 0

Subproblem 2

Set the factor '(-2 + -1x)' equal to zero and attempt to solve:

Simplifying

-2 + -1x = 0

Solving

-2 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '2' to each side of the equation.

-2 + 2 + -1x = 0 + 2

Combine like terms: -2 + 2 = 0

0 + -1x = 0 + 2

-1x = 0 + 2

Combine like terms: 0 + 2 = 2

-1x = 2

Divide each side by '-1'.

x = -2

Simplifying

x = -2

Subproblem 3

Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying

4 + -1x = 0

Solving

4 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-4' to each side of the equation.

4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0

0 + -1x = 0 + -4

-1x = 0 + -4

Combine like terms: 0 + -4 = -4

-1x = -4

Divide each side by '-1'.

x = 4

Simplifying

x = 4

I believe the answer would be x=4

Darnell has $1.20 in quarters and nickels. He has 8 coins altogether. How many coins of each kind does he have?

Answers

Answer:

4 quarters

4 nickels

Step-by-step explanation:

4 quarters 4 nickels

how to change a vector direction by 90 degree​

Answers

Answer:

multiply the X part of the vector by -1, and then swap X and Y values

Step-by-step explanation:

Match each function with the expression representing Its Inverse function.
1. g(x)= -0.5 x
2. h(x)= 4 x
3. y= x - 4
4. f(x)= x/2
5. k(x) = x
6. p(x) = x+4​

Answers

Answer:

Step-by-step explanation:

1). g(x) = -0.5x

   Equation form of the given function is,

   y = -0.5x

 Interchange x and y,

  x = -0.5y

  Solve for y,

  y = [tex]-\frac{x}{0.5}[/tex]

  y = -2x

  Inverse function will be,

  [tex]g^{-1}x=-2x[/tex]

2). h(x) = 4x

   Equation form of the function will be,

   y = 4x

   Interchange x and y,

   x = 4y

   Solve for y,

   y = [tex]\frac{x}{4}[/tex]

   Inverse function will be,

   [tex]h^{-1}(x)=0.25x[/tex]

3). y = x - 4

    Interchange x and y,

    x = y - 4

    Solve for y,

    y = x + 4

    Therefore, inverse of the linear equation is,

    y = x + 4

4). f(x) = [tex]\frac{x}{2}[/tex]

    Equation form of the function will be,

    y = [tex]\frac{x}{2}[/tex]= x

     Interchange x and y,  

     x = [tex]\frac{y}{2}[/tex]

    Solve for y,

     y = 2x

     Therefore, inverse function will be,

     [tex]f^{-1}(x)=2x[/tex]

5). k(x) = x

     Equation form of the function will be,

     y = x

     Interchange x and y,

     x = y

     Solve for y,

     y = x

     Inverse of the function 'f' will be,

     [tex]k^{-1}(x) =x[/tex]

6). p(x) = x + 4

     Equation form of the function will be,

     y = x + 4

     Interchange x and y,

     x = y + 4

     Solve for y,

     y = x - 4

     Inverse of the function 'p' will be,

     [tex]p^{-1}(x)=x - 4[/tex]

For a giveaway a local radio station is putting together goodie bags . The bags will include tickets and posters each bag will receive an equal share of 54 tickets and 36posters

Answers

Answer: There are 18 goodie bags, each with 3 tickets and 2 posters.

Step-by-step explanation:

1/3 x (21.69 – 24.99)

Answers

Answer:

I think it might be 0.30

Step-by-step explanation:

PLEASE HELP!

Find the real or imaginary solutions of the following equation by factoring.

y^3 + 27 = 0

Answers

Answer:

-31.5(1 + i√3)1.5(1 - i√3)

Step-by-step explanation:

y³ + 27 = 0(y + 3)(y² - 3y + 9) = 0

1. y + 3 = 0 ⇒

y = -3

2. y² - 3y + 9 = 0

y = (3 ±√(3² -4*9))/2y = (3 ± √-27)/2y = (3 ± i√27)/2y = 3/2(1 ± i√3)y = 1.5(1 ± i√3)

Answer:

Do u still need the answer?

Step-by-step explanation:

-2(m+1) = 10, whats m?

Answers

-2(m+1) = 10

-2m+-2 = 10

-2m = 12

-m = 6

Answer: m = -6

Can someone help me

Answers

Answer: its

12 4

_

7

Step-by-step explanation:

Answer:

12 4/7

Step-by-step explanation:

5 1/7 + 7 3/7 =

= 5 + 1/7 + 7 + 3/7

= 5 + 7 + 1/7 + 3/7

= 12 4/7

Answer: 12 4/7

Use the relashonships between the angles to find the value of x

Answers

Answer: and I oop skssss

Step-by-step explanation:

102 = x + 15
87 = x

hope this helped

In 2011, the population of Mali was about 1.584 x 107 people. What is this number written in standard
notation?

Answers

hold on ima do rn i think we’re doing the same thing

PLZ HELP I WILL GIVE BRAINLIST

Answers

Answer:

I'm sorry

Step-by-step explanation:

A right triangle has one angle that measures 24°. What is the measure of the other acute angle?

Answers

Answer:

66 degrees

Step-by-step explanation:

90+24=114

180-114=66

Answer:

66 degrees

Step-by-step explanation:

a right triangle must have a 90 degree angle and our other angle is 24. we also know that the sum of all the angles must be 180. 90+24=114

180-114 is 66

Jeanette purchased a concert ticket on a web site. The original price of the ticket was $75. She used a coupon code to receive a 20% discount. The web site applied a 10% service fee to the discounted price. Jeanette’s ticket was less than the original price by what percent?

Answers

it was 30% off because the site had a discount plus her coupon

Katie has $120 on her cafeteria card. Every time she orders a meal, $4.50 is deducted from the value on her card. The amount of money she has on her card, y dollars, is a function of the number of times she orders a meal from the cafeteria, x. How many meals has Katie ordered from the cafeteria if she has $70.50 left on her card?

Answers

Answer:

i think it's 11 meals have been ordered

Terri spent $4.75 on candy,
$1 on soda, and $8.20 on a
ticket. If Terri paid with a
$20 bill, how much money
did she have left

Answers

Answer:

Step-by-step explanation:

$4.75+1+$8.20= $13.95

$20.00 - $13.95 = $6.05

Answer:

$6.05

Step-by-step explanation:

candy - $4.75

soda - $1

ticket - $8.20

4.75 + 1 + 8.20

$13.95

bill - $20

20 - 13.95

$6.05

Write the relation as a set of ordered pairs.

a. ordered pairs: {-1, -2), (0, 1), (3, 2)}
b. ordered pairs: {-2, -1), (1, 0), (3, 2)}
c. ordered pairs: {(-2, -1), (0, 1), (2,3)}
d. ordered pairs: {(-1, -2), (1, 0), (2, 3)} ​

Answers

C. (-2,-1) (0,1) (2,3)

Garrett needs 3 gallons of fruit juice to make punch.

He already has 5/6 gallon of grape juice and 2/3 gallon of orange juice.

Drag amounts of juice that he can add to the juice he already has to make exactly 3 gallons.

Answers

Answer:

3 of each gallon

Step-by-step explanation:

It worked for me on ttm

Answer:

4 of 1/3 and 1 of 1/6

Step-by-step explanation:

5/6+2/3=9/6

9/6+4/3=17/6

17/6+1/6=18/6

18/6=3

How do you show 72 × 139

(doing the work)

Answers

Answer:

10008

Step-by-step explanation:

1.Which statement about two negative numbers is true? .

Answers

Answer:

To negative numbers makes a positive number.

(only in dividing and multiplying)

Step-by-step explanation:

Please mark me brainliest

Negative x negative is a positive

Jess saved $500 working during the summer. He plans to buy school clothes with his money. He found jea
exactly twice as many shirts as jeans, how many pairs of jeans can Jess buy without exceeding $500?

Answers

Answer:

167 pairs

Step-by-step explanation:

Represent jeans with J and shirts with S

[tex]S = 2J[/tex]

[tex]Amount = \$500[/tex] --- Maximum

Required

Determine the number of pair of jeans he can buy

To represent as an inequality, we have:

[tex]S + J \leq Amount[/tex]

[tex]S + J \leq 500[/tex]

Substitute 2J for S

[tex]2J + J \leq 500[/tex]

[tex]3J \leq 500[/tex]

Divide through by 3

[tex]J \leq 500/3[/tex]

[tex]J \leq 167[/tex]

Hence, without exceeding $500, Jess can buy 167 pairs of jeans

Answer:

7

Step-by-step explanation:

30( 7 ) + 14( 12 ) =448 [tex]\leq[/tex] 500

How can I find the systems of linear inequalities ​

Answers

By solving and then graphing

Solve the system.
x + 2y – 4z = 4
2x – y + 2z = 3
3x – 8z = -2

Enter answer as ordered triple.

Answers

X+2y - 4z =4

2x-y +2z =3

3x-8z=-2

9z / 14y/7x

Answer:

(2,3,1)

Step-by-step explanation:

i just did the problem

hope this helps :))

Please help me with this OMGGGGGGGGGGGGGGGGGGGGGGGGGGGG

Answers

Answer:

[tex]The \: slope \: is \: \frac{7}{3} .[/tex]

Step-by-step explanation:

To find the slope, we have to turn the equation into the slope-intercept form which is:

[tex]y = mx + b[/tex]

The slope is the m in that form.

we will solve for y.

[tex]7x - 3y = 21 \\ \frac{- 7x \: \: \: \: \: \: = - 7x}{ - 3y = - 7x + 21} \\ \\ \frac{ - 3y}{ - 3} = \frac{ - 7x + 21}{ - 3} \\ y = \frac{7}{3} x - 7[/tex]

Answer:

Step-by-step explanation:

-3y = -7x + 21

3y = 7x - 21

y = 7/3x - 7

slope is 7/3

answer is C

2 year loan at 6 percent interest rate and $264.00 paid wa

Answers

Answer:2,576

Step-by-step explanation:

Which of the following coordinates is located in Quadrant IV?
(4, –2)
(–2, –4)
(4, 2)
(–2, 4)

Answers

(4,-2) is located in Quadrant IV
Answer: (4, -2) or A

Step by Step Explanation:
The photo on this message are the quadrants, to be in quadrant IV or 4; x needs to be positive and y needs to be negative, so (4,-2) will be in Quadrant IV

Determine the range of the following relation.

Input output
-4 1
0 7
2 2
7 7


A
{2, 7}


B
{1, 2, 7}


C
{–4, 0, 2, 7}


D
{–4, 0, 1, 2, 7}

Answers

Answer:

The range of the relation is:

Range R = {1, 2, 7}

Therefore, option B is true.

Step-by-step explanation:

Given the relation

Input                  Output

-4                            1

0                             7

2                             2

7                             7

Determining the domain:

We know that the domain of relation consists of all the inputs or x-coordiantes of the ordered pairs.

Thus, the domain of the relation is:

Domain R = {-4, 0, 2, 7}

Determining the range:

We know that the range of relation consists of all the outputs or y-coordiantes of the ordered pairs.

Thus, the range of the relation is:

Range R = {1, 2, 7}

Please note that the duplicated elements in the domain or the range of the function are written only once.

Therefore, option B is true.

I will give barinest if solved

Answers

Answer:

[tex]x=19[/tex]

Step-by-step explanation:

[tex]We\ are\ given\ that,\\Line\ YZ\ ||\ ZW\\\angle XYM=90\\Hence,\\Line\ Segment\ XY\ being\ the\ transversal,\ cuts\ YZ\ and\ XW.\\Hence,\\We\ know\ that\\The\ set\ of\ co-interior\ angles [Interior\ angles\ on\ the\ same\ side\\ of the\ transversal]\ are\ supplementary.\\Hence,\\Here,\\The\ pair\ of\ co-interior\ angles\ formed\ are\ \angle XYZ\ and\ \angle YXW.\\Hence,\ they\ are\ supplementary\ too.\\Hence,\\\angle XYZ\ + \angle YXW= 180\\Hence, by\ substituting\ XYZ=90+2x,\angle YXW=3x-5[/tex][tex]90+2x+(3x-5)=180\\85+5x=180\\5x=180-85\\5x=95\\x=19[/tex]

Question 5 of 10
If f(x) = 4x2 + 1 and g(x) = x2 – 5, find (f+ g)(x).
O A. 3x2 + 6
B. 5x2 - 6
C. 3x2 - 4
D. 5x2 - 4

Answers

Step-by-step explanation:

(f + g)(x) = f(x) + g(x) = (4x² + 1) + (x² - 5) = 5x² - 4. (D)

Answer:

D. 5x^2-4

Step-by-step explanation:

We are asked to find (f+g)(x), which is really just the sum of the two functions.

(f+g)(x)=f(x)+g(x)

We know the the functions are:

• f(x)= 4x^2+1

• g(x)=x^2-5

Substitute the functions in.

(f+g)(x)=(4x^2+1)+(x^2-5)

Add the functions by combining like terms. For this equation, the like terms are those with x^2 and the constants.

(f+g)(x)= (4x^2+x^2)+(1-5)

Add the terms with x^2

(f+g)(x)=(5x^2)+(1-5)

Add the constants or terms without variables.

(f+g)(x)=(5x^2)+(-4) = 5x^2-4

The sum of the functions is D. 5x^2-4

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