How do you write the equation of the line in point slope slope intercept form and standard form?

Answers

Answer 1

The equation of line passing through the points (3,-2) and (-2,3) in

(a) point slope form is  y + 2 = -(x - 3) ;

(b) slope intercept form is y = -x + 1   ;

(c) standard form is  x + y = 1 .

The Standard Form of equation of line is written as ⇒ " Ax + By = C " .

it is given that the line is passing through the points (3,-2) and (-2,3) ;

So , the slope(m) is = (3+2)/(-2-3) = 5/(-5) = -1 .

(a) the point slope form is (y - y₁) = m(x - x₁) ;

substituting x₁ = 3 and y₁ = -2 ;

we get ;

(y + 2) = (-1)(x - 3)

y + 2 = -(x - 3) .

(b) the slope intercept form is ⇒ y = mx + c ,

-2 = (-1)3 + c ;

-2 = -3 + c ,

c = -2 + 3 ;

c = 1 ; the equation is ⇒  y = -x + 1 .

(c) the standard form is :

arranging the equation y = -x + 1  ,

we get ;

x + y = 1 .

Therefore , the required equations of line are mentioned above .

The given question is incomplete , the complete question is  

How do you write the equation of the line in point slope form , slope intercept form and standard form given that it passes through (3, -2) , (-2, 3) ?

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Related Questions

Caleb made a scale drawing of a theater. He used the scale 7 inches = 10 feet. What is the scale factor of the drawing?

Answers

Answer:

10 feet = 120 inches

120 / 7 = 17.1428571429

So, the scale is 17.1428571429 to 1.

 

Step-by-step explanation:

That the wrong answer

Answers

Answer:

what's your question?

Step-by-step explanation:

A rectangular prism is 12 feet long, 8 feet wide and 11 feet tall. What is the
surface area? *
192
440
632
O
1056

Answers

Answer:

632 square feet

Step-by-step explanation:

Surface area of the prism = 2(lw+wh+lh)

L is the length = 12feet

w is the width = 8feet

h is the height = 11feet

Substitute

S = 2(12*8 + 12*11 + 8*11)

S = 2(96+132+88)

S = 2(316)

S = 632 square feet

Hence the surface are of the prism is  632 square feet

Is (0, 0) a solution to the equation y = 9x?

Answers

(0, 0) is a solution to the equation y = 9x

Given the equation y = 9x, we are to determine whether (0, 0) is a solution to the equation

To do that, we will substitute x = 0 into the expression and determine if the value of y is 0.

If x = 0

y = 9x

y = 9(0)

y = 0

Since the resulting value of y is zero, hence (0, 0) is a solution to the equation y = 9x

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A student cuts out a rectangular strip of paper that has an area of 2/3 square meter. If the width of the paper strip is 1/5 meter, what is the length of the strip, in meters?

Answers

Answer:

3 1/3

Step-by-step explanation:

Perform the inverse operation: l = a/w

(2/3)/(1/5)

Find the common denominator.

It is 15 in this case.

(10/15)/(3/15)

150/45

3 1/3

Check your work.

a = 3 1/3 x 1/5

a = 2/3

This is true.

The answer is 3 1/3

-Xax

Find the slope from the table:
X | Y
0 | -1
2 | 3
5 | 9
6 | 11

Answers

Answer:

The slope is 2

Step-by-step explanation:

Pick two points.

ex: (0,-1) and (2,3)

do the equation below where 0=x1, -1=y1, 2=x2, 3=y2

y2-y1 divided by x2-x1

3-(-1) divided by 2-0

4/2

=2

sorry this was kind of hard to explain on a computer :/

I’m not completely sure but I think it’s x/y also I’m only in 7th sorry

Brad had a small gathering at a local steakhouse. The steakhouse offers three dinner platters which vary by size and price. They ordered 4 of the 6-ounce platters, 3 of the 8-ounce platters, and 3 of the 11-ounce platters. Steak Platter Prices
• 6-ounce $9.95
• 8-ounce $12.95
• 11-ounce $15.95

If a gratuity of 16% was added to the bill, which of the following is closest to the total of the steak platters and gratuity, ignoring sales tax?

Answers

Answer:

Ok if you get this worng im so sorry but I got $6.21

Step-by-step explanation:

I’m about to spam questions if you can answer them please do .

Answers

Answer:

id say anything between 15 to 30 i dont have the stuff i need to answer this 100% accurately

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

90 plus 40 ,then you subtract it from 180

Kiran cuts out a square piece of paper with side length 6 inches. Mai cuts out a paper sector of a circle with radius 6 inches, and calculates the arc length to be inches. Whose paper is larger? Explain or show your reasoning.

Answers

Arc length doesn’t matter. Area does.

Area of a square: bh = 6x6 = 36 inches squared

Area of a circle: 3.14(r^2) = 3.14(36)= 113 inches squared

Mai’s paper is much larger.

A circle is a curve sketched out by a point moving in a plane. The area of the circular paper is more than the area of the square.

What is a circle?

A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.

The arc length of radius 6 inches is equal to,

Length of the Arc of a quarter = 2πr×(1/4) = 2×π×6×0.25 =0.9448 inches

The area of the circular paper = πr² = π×6×6 = 113.097²

The area of the square with a side of 6 inches = 36 in²

Therefore, the area of the circular paper is more than the area of the square.

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I’ll give brainliest! Help please!!!!

Answers

Don’t press that link please

i need help with this question plsss

Answers

Answer:

180

Step-by-step explanation:

because angles on the same line sum up to 180

a cylinder with a height of 6 km has a volume of 384 km, what is the radius?

Answers

Answer:

Step-by-step explanation:

V = π r^2 h so 384 = r^2 (6)

384/6 =  r^2 so

64 =  r^2

8 =  r

the cost of a school banquet is $95 plus $15 for each person attending. Write an equation that gives total cost as a function of the number of people attending. What is the cost for 77 people?​

Answers

Answer:

equation: y=15x+95

it would cost $1250

Answer:

f(x) = 95 + 15x

Cost for 77 people = $1250

Step-by-step explanation:

15 x 77 = 1155

1155 + 95 = 1250

I need help with this pls I out 30 points

Answers

Answer:

Step-by-step explanation:

Age:            Frequency:

50-54          2

55-59          5

60-64          3

65-69          3

Find the volume of the given figure.

Answers

364.5 cm sq

or

365 1/2 cm sq

IM RUNNING OUT OF TIME SO PLss ANYONEEE

Answers

Answer:

x= -2

Step-by-step explanation:

If the slope is zero, that means the line is horizontal.

Answer: y=7

Step-by-step explanation:

If the simple interest on a sum of money invested at 3% per annum for 242 years is N123, find the
principal​

Answers

The principal is N16.94

Step-by-step explanation:

Simple Interest = (Principal × Rate × Time)/100

Principal = (Simple Interest × 100)/(Rate × Time)

Principal = (123 × 100)/(3 × 242)

Principal = 12300/726

Principal = 16.9421

23. Daniel bought a gallons of paint at the store for a project. At the end of his project,
Daniel had 1 gallons of paint left. How much paint did Daniel use for his project?
A. 3. gallons
B.3 gallons
c. 2. gallons
D. 6 gallons

Answers

Answer:

Based on your responses and my understanding from what you have said the answer is B.

Step-by-step explanation:

please can u give me this answer ☹️

Answers

Answer:

the second one

Step-by-step explanation:

Hello There!

The area of a triangle can be found using this formula

[tex]A = \frac{1}{2} (a+b)h[/tex]

where a and b = bases and h = height

The trapezoid shown has the following dimensions

top base = 9cm

bottom base = 14 cm

height = 12 cm

slant height = 13 cm

using this information, we plug in the values into the formula

So [tex]A = \frac{1}{2} (9+14)12[/tex]

the equation we created matches the 2nd equation therefore the second one is your answer

the second one is right

m-15=9 inverse operation

Answers

Answer: 24

Step-by-step explanation:

m - 15 + 15 = 9 + 15

m = 24

8 ( x + 4) = 62. 4. x = _____​

Answers

Answer: 0.05

Step-by-step explanation: Ur welcome

Step-by-step explanation:

8×x+8×4=62.4.x=_

8x+32=62.4.x=_

8x=62.4-32

8x=30.4

x=30.4:8

x=3.8

EAR is rotated 180° about the origin.

plsss help

Answers

Answer:

rotating ΔEAR 180° inside the right angle parallelogram circumscribed by.

original coordinates:

A (-6, 4)

R (-2, 2)

E (-5, -6)

post rotation coordinates:

A (-2, -6)R (-6, -4)E (-3, 4)

7x −28 solve for inequality

Answers

Answer:

7(x-4)

Step-by-step explanation:

You can use an Algebra calculator btw.

Given the coordinates of A(3, 6), B(5, 2), and C(9, 4), which coordinates for D make ABCD a square?

Answers

Answer:

(7,8)

Step-by-step explanation:

The point D is (7, 8) for which the given coordinates of A(3, 6), B(5, 2), and C(9, 4), make a square.

What is a square?

It is defined as a two-dimensional geometry that has four sides and four vertices. The sides of the square are equal in length. It is a regular quadrilateral.

Line AB and CD are parallel to each other.

Line AB:

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

y - 6 = -2x+6

2x+y = 12

Line CD:

2x + y = d

Plug (9,4)

18+4 = d

d = 22

2x + y = 22 ...(1)

Line BC:

(y - 2) = 1/2(x-5)

2y -4 = x-5

-x + 2y = -1

x - 2y = 1

Line AD:

x - 2y = e

3 - 12 = e

e = -9

x-2y = -9 ...(2)

The intersection point of (1) and (2)

x = 7 and y = 8

Thus, the point D is (7, 8) for which the given coordinates of A(3, 6), B(5, 2), and C(9, 4), make a square.

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PLS HELP THIS IS FOR A GRADE AN IS TIMED

Answers

Answer: 392

Step-by-step explanation:

A group of friends wants to go to the amusement park. They have no more than $150
to spend on parking and admission. Parking is $8, and tickets cost $17.75 per person,
including tax. write an inequality representing p,
the number of people who can go to the amusement park.​

Answers

Answer: 17.75p + 8 ≤ 150    OR    p ≤ 8

Step-by-step explanation:

in a school the number of girls exceeds the number of boys by 15% find the ratio number of boys to number of girls

Answers

Answer:

20:3

Step-by-step explanation:

no.of boys /no.of girls =20:3

Find the length of the third side. If necessary, round to the nearest
tenth.
12
14

Answers

Answer:

7.2

Step-by-step explanation:

a^2 + b^2 = c^2

a^2 +12^2 = 14^2

a^2 = 14^2 - 12^2

a^2 = 196 - 144

a^2 = 52

a =  square root of 52 = 7.2

The area of a square is 75 inches squared. A student correctly wrote the length of each side of the square as a√3. What is the value of a?

Answers

Answer: 5 in.

Step-by-step explanation:

Given

The area of the square is [tex]75\ in.^2[/tex]

The side length of the square is [tex]a\sqrt{3}[/tex]

Area of square[tex]=(\text{length})^2[/tex]

[tex]\therefore 75=(a\sqrt{3})^2\\\Rightarrow 75=3a^2\\\Rightarrow a^2=25\\\Rightarrow a=5\ in.[/tex]

Thus, value of a is 5 inch

Anyone know how to do this?

Answers

Answer:

??

Step-by-step explanation:

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