Mathematics High School

Write an equation of a line that goes thru the points (-2, 6) & (3, -4)

Answers

Answer 1

Answer:

y= -2x +2

Step-by-step explanation:

The equation of a line can be written in the form of y= mx +c, where m is the gradient and c is the y-intercept. This form is known as the slope-intercept form.

To find the value of m, use the gradient formula below:

[tex]\boxed{gradient = \frac{y1 - y2}{x1 - x2} }[/tex]

[tex]m = \frac{6 - ( - 4)}{ - 2 - 3}[/tex]

[tex]m = \frac{6 + 4}{ - 5} [/tex]

[tex]m = \frac{10}{ - 5} [/tex]

m= -2

Substitute m= -2 into the equation:

y= -2x +c

To find the value of c, substitute any pair of coordinates that the line passes through into the equation. Here, I am going to substitute the coordinates (3, -4).

y= -2x +c

When x= 3, y= -4,

-4= -2(3) +c

-4= -6 +c

c= -4 +6

c= 2

Thus, the equation of the line is y= -2x +2.

Related Questions


I NEED HELP PLEASE WILL MARK BRAINLIEST

Answers

9514 1404 393

Answer:

  $109.97

Step-by-step explanation:

Each straight piece of wire is the diagonal of a square that is 3" on a side. The Pythagorean theorem tells you the length of that diagonal is ...

  d = √(3^2 +3^2) = √18 = 3√2 . . . inches

There are 4 such diagonals on each trivet, so the total length of wire for 12 trivets is ...

  (12)(4)(3√2) = 144√2 . . . inches

At a cost of $0.54 per inch, the total cost for 12 trivets will be ...

  ($0.54)(144√2) = $109.97

The cost of the copper wire for making 12 trivets is $109.97.

Apply the Distributive Property to Simplify the Expression
9 (4 1/3)

Answers

9 (4 1/3)
Answer= 39

Help me out with this question (geometry)

Answers

Answer: 19

Step-by-step explanation: it says you already found X so you substitute it into angle m2

When I am doing exponential functions, amd need to graph, how do I figure out what the points are for f(x)=3(6)^(x-1)-5? The five is not an exponent.​

Answers

Answer:

Attached

Step-by-step explanation:

chords with inscribed angles

Answers

Answer:

A:

i) ∠ABC is an inscribed angle

ii) ∠ATC is a central angle

B: ∠ABC = 150/2 = 75°

C: ∠ATC = 150°

Help Plz
Will mark brainliest

Answers

Answer:

False, true, false, true

Step-by-step explanation:

Sin T = 7/25

Cos T = 24/25

Sin C = 24/25

Cos C = 7/25

what is bigger 0.125 or 0.0125

Answers

Answer:

0.125 is the answer...........

Answer:

.125

Step-by-step explanation:

.125 is bigger because 0.0125 is less than 0.125, for example:

There is a slice of cake and there is a .125 slice and a .0125, which is bigger?

a new smart phone application is available for download the number y of downloads can be modeled by the function y-6.3x^2+3000

Answers

Answer:

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex:  

(

0

,

−

3000

)

Focus:  

(

0

,

−

2999.9

¯¯¯¯¯¯¯¯¯¯¯¯

603174

)

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

−

3000.0

¯¯¯¯¯¯¯¯¯¯¯¯

396825

x

y

−

2

−

2974.8

−

1

−

2993.7

0

−

3000

1

−

2993.7

2

−

2974.8

Step-by-step explanation:

what is the value of the x- intercept of the following equation? 2x-6y=14

Answers

Answer:

x-3y-7=0

Step-by-step explanation:

2x-6y=14

2x-6y-7=0

x-3y-7=0

Milton took an elevator to the top of the Empire State Building in New York City and decided to walk down the steps to the bottom level. The building is 103 levels tall, and it takes Milton exactly 5 seconds to make his way from one level to the next. The equation below shows the level (l) that Milton is on after s seconds. `l\ =\ -\frac{1}{5}s\ +\ 103`

Answers

Answer:

thx

Step-by-step explanation:

am not sure what am doing​

Answers

Answer:

Step-by-step explanation:

They are showing you how to factor 12-9i+8i-6i².

Find the greatest common factor in each row and each column.

Blue:  GCF of 12 and -9i = 3

Orange: GCF of 8i and -6i² = 2i

Red: GCF of 12 an 8i = 4

Green: GCF of -9i and -6i² = 3i, but both terms are negative, so use -3i

There are 35 students in a classroom. The ratio of girls to boys is 2 to 3. How many boys and how many girls are there in the classroom?

A. 21 and 14
B. 14 and 21
C. 20 and 15
D. 15 and 20

Answers

Answer:

A. 21 (boys) and 14 (girls)

Step-by-step explanation:

2+3=5

35÷5= 7

7×3=21 boys

7×2=14 girls

You purchase 5 pounds of apples and 2 pounds of oranges for $9. Your friends purchases 5 pounds of apples and 6 pounds of oranges for $17. What is the price per pound for each fruit?

Answers

Answer:

One pound of apple = $1

One pound of Orange = $2

Step-by-step explanation:

Plz mark brainliest thanks

Answer:

Apples $1

oranges $2

Step-by-step explanation:

An area rug has the dimensions of 4 feet x 8 feet. How many square inches is that?

Answers

Answer:

Step-by-step explanation:

This is because 4 ft x 8 ft = 24 feet

24 feet times 12 (this is because there 12 inches in a foot)

288 inches

The sum of two nonnegative numbers is 50. What is the maximum value of the product of these two numbers ?

Answers

Answer:

625

Step-by-step explanation:

Let two number be x and (50-x).

The product of numbers be x(50-x).

P = 50x-x²

For maximizing the product,

[tex]\dfrac{dP}{dx}=0\\\\\dfrac{d}{dx}(50x-x^2)=0\\\\50-2x=0\\\\50=2x\\\\x=25[/tex]

So, the maximum product, P = 50(25)-(25)²

P = 625

Hence, the maximum value of the product of these two numbers is 625.

Please help its due in a hour

Answers

Answer:

good luck

Step-by-step explanation:

BEST ANSWER GETS BRAINLIEST, THANKS ON ANSWER, AND THANKS ON YOUR PROFILE!

Answers

Answer:

I thinks it's the third one

Please help. Will give Brainliest.

Answers

Answer:

2

Step-by-step explanation:

That is the only valid reflection across line e.

Answer:

2

Step-by-step explanation:

When an image is reflected over a line the triangles are positioned the same way and the distance from the line is the same therefore your answer is 2

Find the volume of a pyramid with a square base, where the perimeter of the base is 6.9 cm and the height of the pyramid is 2.8 cm. Round your answer to the nearest tenth of a cubic centimeter.

Answers

Answer:

V=2.8cm^3

Step-by-step explanation:

The volume of a pyramid with a square base should be considered as the 2.8 cubic centimeter.

Calculation of the pyramid:

Since

perimeter of the base is 6.9 cm and the height of the pyramid is 2.8 cm.

So, here

we know that

volume of a pyramid = [tex]1/3(length * width * height)[/tex]

And,

perimeter of a square = [tex]4 * length[/tex]

6.9 = 4 x length

So,

length = 1.725

Now the volume is

[tex]= 1/3 * (1.725 * 1.725 * 2.8)[/tex]

= 2.8

Learn more about volume here: https://brainly.com/question/12497184

HELP PLEASE OMGGGGGGGGGGGGG

Answers

Answer:

7x-2+5x-10+4x=180°

16x-12=180

16x=192

x=192/16

x=12

which inequality represents all values for x for which the quotient below is defined? square root of 8x squared divided by the square root of 2x

Answers

The answer is D, x > 0

How do you identify the bases of any prism?

Answers

Answer:

Look at the names of the prisms above. Each type of prism is named after its base. In the figure on the left, the base is a rectangle, so it is called a rectangular prism. In the middle, the base is a triangle, so the shape is a triangular prism.

Step-by-step explanation:

Find the sum of 16y2 and -5y2

Answers

Answer:

11y²

Step-by-step explanation:

Subtract 5y² from 16y²

Answer:

11y^2

Step-by-step explanation:

16y^2 and -5y^2 are "like terms," so can be added:

16y^2

- 5y^2

-----------

11y^2

Subtract 9a from -15a:

-15a

- 9a

-------

-24a

Jackson spends 214 hours painting 212 pictures. He spends the same amount of time painting each picture. How much time, in hours, does Jackson spend painting each picture?

Answers

1 hour and 7 1/2 minutes per picture
2 1/4 = 60 * 2 = 120 + 15 = 135/2= 67.5 = 1 hour and 7 1/2 minutes

Your checking account balance is $50. You spend $11 and then deposit $27.
What is your current balance?

Answers

Answer:

66$

Step-by-step explanation:

50$-11$+27$

66$

Answer:

$66

Step-by-step explanation:

$50- $11= $39

$39+ $27= $66

Solve for x. Enter the solutions from least to greatest.
x2 + 16x + 63 = 0
lesser x =
greater x =

Answers

Answer: less= -9.41

Greater= -6.59

Step-by-step explanatio. it is

Answer:

Step-by-step explanation:

HELP FOR 20 POINTSSS


x =3 ; y=8.4

x = 3 ; y = 15

x = 6 ; y =7.5

x = 6; y =18

Answers

Answer:

The first one.

Step-by-step explanation:

solving for x:

5/2 = 7.5/x

cross multiply

2 ×7.5 =5x

x= 2×7.5/5

x= 3

solving for y:

values of the small triangle over the bigger triangle-

5/6 =7/y

cross multiply and solve for y

y= 8.4

therefore (x= 3; y= 8.4)

YOU ARE VERY WELCOME!

Can somebody please help me !!!!!!!!!47$4&

Answers

Answer:

30 celsius

Step-by-step explanation:

(86°F − 32) × 5/9 = 30°C

its 30 celsius! hope this helps:)

What is the postulate?

Answers

Step-by-step explanation:

Blank #1 STQ

Blank #2 SSS (Side-Side-Side)

2x + 8 = 14 solve the equation you may find using algebra tiles to be helpful

Answers

Answer:

x = 3

Step-by-step explanation:

2x + 8 = 14

2x = 6

x = 3

Answer:

3

Step-by-step explanation:

subtract 8 from both sides

then divide 2 from both sides to get x = 3

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