Write in slope-intercept form an equation of the line that passes through the given points.

Write In Slope-intercept Form An Equation Of The Line That Passes Through The Given Points.

Answers

Answer 1

Answer:

y = x+5

Step-by-step explanation:

First we find the slope

m = (y2-y1)/(x2-x1)

m = (7-3)/(2 - -2)

   =(7-3)/(2+2)

  = 4/4

   = 1

The slope intercept form is

y = mx+b

y = x+b

Substitute a point in

7 = 2+b

Subtract 2 from each side

5 =b

y = x+5

Answer 2

Answer:

y = x + 5

Step-by-step explanation:

m = (y2 - y1) / (x2 - x1)

= (7 - 3) / (2 - (-2))

= 4/4

= 1

Since y = mx + b and m = 1,

y = (1) * x + b

y = x + b

7 = 2 + b

b = 5

Putting b = 5 in y = x + b, we get:

y = x + 5

Hope this helps!


Related Questions

A 2-column table with 2 rows. The labels for the columns and rows are blank. First column entries are 5 x squared, 10 x. Second column entries are negative 2 x, negative 4. Which factors can be multiplied together to make the trinomial 5x2 + 8x – 4? Select two options. (x + 1) (2x + 1) (x + 2) (5x + 1) (5x – 2)

Answers

Answer:

(5x – 2) and  (x + 2)

Step-by-step explanation:

In order to know the two factors we are to multiply together to get the trinomial function 5x² + 8x – 4, we need to factorize the quadratic function given. On factorizing;

[tex]= 5x^{2} +8x-4\\= (5x^{2} +10x)-(2x-4)\\\\factoring\ out\ the\ common\ term\\= 5x(x+2)-2(x+2)\\= (5x-2)(x+2)\\[/tex]

The factors that can be multiplied together are (5x – 2) and  (x + 2)

Answer:

The Answer On Edge Is C.) and E.), Have Fun Dreamers!

Step-by-step explanation:

Please answer !!!!!!!!!!! Will mark brainliest !!!!!!!!!!!

Answers

Answer:

f ⁻¹ (-2)=3

f ⁻¹ (1)= 0

Step-by-step explanation:

inverse functions are switching x and f(x) coordinates so f ⁻¹ (-2)=3 and f ⁻¹ (1)= 0

I need help with this question, Please

Answers

Answer:

42

Step-by-step explanation:

Just use Pythagoras theorem

jenny has 36 cupcakes. how many kids (including jenny) can share these cupcakes evenly?

Answers

Answer:

2 people can have 18 cupcakes each

3 people can have 12 cupcakes each

4 people can have 9 cupcakes each

9 people can have 4 cupcakes each

Step-by-step explanation:

Answer: 1,2,3,4,6,9,12,18,36

Step-by-step explanation:

I WILL MARK YOU BRAINLIEST!!!

Answers

Answer:

A

Step-by-step explanation:

the answer would be A

is the ordered pair (-4,3) a solution of the equation y=5x + 21

Answers

Answer:

Step-by-step explanation:

If you substitute x = -4 in the equation, you should get the y value as 3

y = 5x + 21

 = 5* -4 + 21

 = -20 + 21

y = -1 ≠ 3

So, (-4, 3) is not a solution

Which phrase should be inserted on the line to make a true statement? Use the models to help.

Answers

Answer:

2/3 = 8/12

Step-by-step explanation:

2/3    vs 8/12

Multiply the left by 4/4 to get common denominators

2/3 *4/4 = 8/12

They are equal

Answer:

is equal to or awnser D

Step-by-step explanation:If you divide the you get the same awnser

(1). An Aeroplane leaves an airport, flies due North for 2 hrs at 500km/h. It then flies on a bearing of 053 degree at 300km/h for 90 mins. How far is the plane from the airport correct to 1 dp *(2). Find the bearing of the plane from the Airport correct to 1 dp. *(3). If it takes the Aeroplane 150 mins to fly back to the airport. Find the average speed of the aeroplane for the whole flight correct to 1dp. *

Answers

Answer:

1. 1320.7 km

2. 015.8 degrees.

3. 461.8 km/h.

Step-by-step explanation:

(1) the distance from the airport is approximately 1096.5 km.

(2) the bearing of the plane from the airport is approximately 24.4 degrees.

(3) the average speed of the airplane for the whole flight is approximately 580 km/h.

(1) To find the distance the plane is from the airport, we can break down the two legs of the journey into their respective distances and use the Pythagorean theorem.

For the first leg of the journey, the plane flies due North for 2 hours at a speed of 500 km/h. Therefore, the distance covered is:

Distance = Speed * Time = 500 km/h * 2 h = 1000 km

For the second leg of the journey, the plane flies at a bearing of 053 degrees at a speed of 300 km/h for 90 minutes (1.5 hours). We can calculate the distance covered using the formula:

Distance = Speed * Time = 300 km/h * 1.5 h = 450 km

Using the Pythagorean theorem, the distance from the airport is the hypotenuse of a right triangle with sides of 1000 km and 450 km:

Distance from the airport = √(1000² + 450²) ≈ 1096.5 km (rounded to 1 decimal place)

Therefore, the distance from the airport is approximately 1096.5 km.

(2) To find the bearing of the plane from the airport, we need to determine the angle between the plane's position and the north direction. We can use the inverse tangent function (arctan) to find this angle.

The angle can be calculated as:

Angle = arctan(opposite/adjacent) = arctan(450/1000) ≈ 24.4 degrees (rounded to 1 decimal place)

Therefore, the bearing of the plane from the airport is approximately 24.4 degrees.

(3) To find the average speed of the airplane for the whole flight, we can calculate the total distance traveled divided by the total time taken.

The total distance traveled is the sum of the distances from the first and second legs of the journey:

Total Distance = 1000 km + 450 km = 1450 km

The total time taken is the sum of the time taken for each leg:

Total Time = 2 hours + 1.5 hours + 2.5 hours (150 minutes is equal to 2.5 hours)

Average Speed = Total Distance / Total Time = 1450 km / 2.5 h ≈ 580 km/h (rounded to 1 decimal place)

Therefore, the average speed of the airplane for the whole flight is approximately 580 km/h.

Learn more about average speed here

https://brainly.com/question/16898305

#SPJ2

Will give brainliest ! Just need the answer thats all

Answers

Answer:

Brainliest here!

Step-by-step explanation:

for this, its every number thats either 0 or less than 0

B,D,E

24. John buys 20 bunches of bananas
For N5. He sells them all for N6.50.
What is his percentage profit?
(a) 3/12%
(b) 20%
(c) 30%
(d) 762/13%
(e) 77%​

Answers

Answer:

30%

Step-by-step explanation:

Profit(Gain)% = [tex]\frac{Selling price - Cost price}{Cost price} * 100%[/tex]

Selling price = N6.50

Cost price = N5

∴ Profit% = [tex]\frac{N6.50 - N5 }{N5} * \frac{100}{1}[/tex]

                 = [tex]\frac{1.5}{5} * \frac{100}{1}[/tex]

                 = (1.5 * 20)%

                 = 30%

Hope this helps!!!

       

This formula v = u + at, links:

initial velocity (u)

final velocity (v)

acceleration (a)

time (t)

What is the value of v if u = 5, a = 10 and t = 2?

Answers

Answer:

[tex]v=u+at[/tex]

[tex]v= 5+(10)\times2\\v=25[/tex]

What is the formula for the circumference of a circle in terms of r?

Answers

Answer:

2 x pi x r

Step-by-step explanation:

i just copy n pasted this on google

Step-by-step explanation:

c= 2πr

What is the completely factored form of f(x) = 683 – 1332 - 4x + 15?

Answers

Answer:-637

Step-by-step explanation:

Help me solve please

Answers

Answer:

44

Please see the attached picture for full solution

hope it helps...

Good luck on your assignment

Answer:

[tex]44[/tex]

hope this helps you.

brainliest appreciated

good luck! have a nice day!

what is 100 divided by 3?

Answers

Answer:

0.003

Step-by-step explanation:

100 / 3 = 0.003

When dividing with (10, 100, 100 etc) you go this way <—

0.003 100/3=0.003 hope this helps

solve using eliminates method 3x-4y=15 2x-2y=8​

Answers

Answer:

Step-by-step explanation:

For f(x) = 2x+ 1 and g(x) = x^2 - 7, find (f+ g)(x).​

Answers

Answer:

x^2 + 2x -6

Step-by-step explanation:

f(x) = 2x+ 1

g(x) = x^2 - 7

(f+ g)(x)= 2x+ 1 + x^2 - 7

Combine like terms

          = x^2 + 2x -6

Find equation of a line passing through the pair of points. Write the equation in the form Ax+By=C (-2,2)and(-3,-9)

Answers

Answer:

11x - y = - 24

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation of the line first find the slope

Slope of the line using points

(-2,2)and(-3,-9) is

[tex]m = \frac{ - 9 - 2}{ - 3 + 2} = \frac{ - 11}{ - 1} = 11[/tex]

Then use the formula

y - y1 = m(x - x1)

where

m is the slope

( x1 , y1) can be any of the points

Equation of the line using point (-2,2) and slope 11 is

y - 2 = 11 ( x + 2)

y - 2 = 11x + 22

11x - y = - 2 - 22

We have the final answer as

11x - y = - 24

Hope this helps you

x3 - 2x2 + 1 = 0 is a quadratic equation.
True
False

Answers

Answer:

false

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

Quadratic equations have the highest degree on x as 2 (a squared value). The given equation has x^3 (assuming x3 is x^3 and not 3x), meaning that the equation is a cubic equation.

what is the surface area of cylinder with base radius 4 and height 7? either enter an exact answer in term of pi or use for 3.14 for pi and enter your answer as a decimal

Answers

Answer:

Step-by-step explanation:

The surface area of the sides of the cylinder is A = 2πrh, where r is the radius and h is the height.  

Here this comes out to A = 2π(4)(7) = 56 π units^2

If you also want the combined area of the two ends (top and bottom of the cylinder), here's the calculation:

A = 2πr² = 2π(4 units)² = 32π units²

Answer:

its 88 pi

Step-by-step explanation:

i did it on khan

6. Classify this kind of triangle:

Answers

Answer:

Number 3

Step-by-step explanation:

It is an acute isosceles because all the angles are acute and two sides are congruent.

Answer:

Acute and isosceles

Step-by-step explanation:

All the angles are less than 90

2 sides are equal

Find m∠UTS, if m∠UTV=x+15, m∠VTS=140∘, and m∠UTS=15x+15.

Answers

Answer:

165

Step-by-step explanation:

First, m<UTS=m<UTV+m<VTS by Angle Addition Postulate.  Then, you substitute all the values that you provided for the angles.  15x+15=x+15+140.  You then solve for x.

15x+15=x+155

14x=140

x=10

You then plug back in 10 for X in the value of m<UTS.  15(10)+15=165

Which of these triangles appears not to be congruent to any others shown
here? Check all that apply.
A
B
C
D
E
F A. Triangle A
B. Triangle B
C. Triangle C
D. Triangle D
E Triangle E
F. Triangle F

Answers

Answer:

Options (B) and (D)

Step-by-step explanation:

If two triangles have the same size and shape they are said to be congruent triangles.

Triangles given in the attachment,

Triangles A and E appear to be congruent.

And triangles C and F appear to be congruent.

[Since corresponding sides of these triangles don't appear to be the same in measure]

Remaining triangles B and D do not appear to be congruent.

Therefore, Options (B) and (D) will be the answer.

Richard's Rental Car charges a $55 rental fee and $0.25 per mile. Freddy's Rental Car charges a
$45 rental fee and $0.35 per mile. For how many miles, X, will the total charge of Richard's
Rental Car be no more than the total charge of Freddy's Rental Car?
2 < 10
> 10
> 100
2 < 100​

Answers

Answer:

Correct option: third one -> X > 100

Step-by-step explanation:

The equation for the price of Richard's Rental Car is:

P1 = 55 + 0.25*X

The equation for the price of Freddy's Rental Car is:

P2 = 45 + 0.35*X

To find for how many miles will the total charge of Richard be less than Freddy, we have that P1 < P2, so:

55 + 0.25*X < 45 + 0.35*X

0.25*X - 0.35*X < 45 - 55

-0.1*X < -10

0.1*X > 10

X > 100

Correct option: third one

i need help!How would i find the value of X?

Answers

It is a 90° angle from up to right and 65 makes up part of it so 90-65=25
90-65 = 25 this is the value of x

x varies jointly as y^3 and square root of z . If x = 7 when y = 2 and z = 4, find x correct to 2 decimal places, when y = 3 and z = 9.

Answers

Answer:

x=35.44

Step-by-step explanation:

x=ky^3 and√z

x=k(y^3)(√z)

Find k when

x=7

y=2

z=4

7=k(2^3)(√4)

7=k(8)(2)

7=k(16)

7=16k

k=7/16

Find x when y=3, z=9

x=k(y^3)(√z)

x=(7/16)(3^3)(√9)

x=(7/16)(27)(3)

=7/16(81)

=567/16

x=35.4375

Approximate to 2 decimal places

x=35.44

What is the slope? WIL MARK BRAIN 20 POINTS

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

I believe it is 4/3. I just did rise over run to find the slope. Hope it helps! :)

can somone answer number 12, I really need it bad, please help .

Answers

Answer:

-24

Step-by-step explanation:

f(x) = 3x^3 -12x^2

f(2) = 3 * (2)^3 - 12 (2)^2

      = 3 (8) - 12 (4)

      = 24 - 48

      = -24

Answer:

D. f(2)= -24

Step-by-step explanation:

To solve this problem, we want to find what f(x), or y is, when x is equal to 2.

f(x)=3x³-12x²

Therefore, we can substitute 2 in for every x.

x=2

f(2)=3(2³)-12(2²)

Evaluate the exponents first.

2³ is equal to 2*2*2, which equals 8.

2² is equal to 2*2, which equals 4.

f(2)=3(8)-12(4)

Multiply 3 and 8.

f(2)=24-12(4)

Multipy 12 and 4

f(2)=24-48

Subtract 48 from 24.

f(2)=-24

Therefore, the correct answer is D. f(2)= -24

While training for an Ironman competition, Johnson swam 0.86 km, biked for 22.4 km, and ran 4.25 km. Johnson completed this routine twice a week. How far did Johnson travel in one week while training, in meters?

Answers

Answer:

55020 metres

Step-by-step explanation:

Johnson swam 0.86 km, biked for 22.4 km, and ran 4.25 km. He did this twice a week.

To find the total distance traveled in one week in metres, we first add up the distances and multiply by 2 and then convert to metres.

The sum of the distances is:

0.86 + 22.4 + 4.25 = 27.51 km

Multiply by 2:

27.51 * 2 = 55.02 km

1 km = 1000 metres

55.02 km = 55.02 * 1000 = 55020 metres

He traveled 55020 metres while training.

YEAR 9 MATHS PLEASE QUICKLY HELP THIS WONT TAKE LONG
Here are six shapes made from centimetre squares.
Write down the letter of a shape with rotational symmetry of order 2.
(1 mark)

Answers

Answer:

letter of a shape with rotational symmetry of order 2 is B,D and F

Answer:

Step-by-step explanation:

i strongly believe it is  rotational symmetry of order 2 is B,D and F .

hope it helps

-Delilah

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