Write the equation of the line that passes through the given points. ​(0​,2​) and ​(4​,16​)

Answers

Answer 1
The equation format for a straight line is y = mx + b, where m is the slope and b is the y-intercept, the value of y at x = 0. The slope is the rate of change of the line as x changes values. It is also termed the "rise over the run," of the difference in the value of y as x is changed.

We can calculate the rise/run from the two points. (0,2) and (-4,5). The rise is the difference between the two y values (5 - 2 = 3) and the run the difference in the x values (-4 - 0 = -4). Rise/run is therefore -3/4. This is "m" in the equation.

y = -(3/4)x + b

We need to find b. Input one of the points, (0,2) and solve for b.

2 = -(3/4)*0 + b
b = 2 (the line crosses the y axis when x = 0).

The full equation becomes:

y = -(3/4)x + 2

Related Questions

Find the slope for the trend using points (2,2) and (4,3)

Answers

Answer:

Step-by-step explanation:

m = 1 / 2 = 0.5

Simplify the expression. Multiply
(15 square root - square root 8 ^ 2 )

Answers

Answer:

-4.12701665

Step-by-step explanation:

mark me brainiest wink wink

 Use the given information to find the value of x. Then, find the measure of angle ADC.

Answers

Answer:

60degrees

Step-by-step explanation

To get the angle x, you must first know that the sum of angle at a point is 360degrees. Hence;

x + <ADB + <CDB  = 360

x +150 + 150 = 360

x+ 300 = 360

x = 360 - 300

x = 60

Hence the value of x is 60degrees

Can you guys simplify these to the simplest form? Thank you. Will give you five stars if answered.

2x - 9 + 3x - 6 + 4

6x + 4(3x +2)

3(2x +5) ⬅️ This on should be in the most equivalent form.

Answers

Answer:1. 5x-11

2. 18x+8

3.6x+15

Step-by-step explanation:

Which expression is equivalent to 16a − 4b?

1.2(8a + 4b)
2.2(8a + 8b)
3.4(8a − 8b)
4.4(5a − 2b)
5.4(4a − b)

Answers

Answer:

5. 4(4a-b)

Step-by-step explanation:

i hope this helps :)

5.4(4a-b) Hope this helps too

I need help plz help me !!

Answers

Answer:

110

Step-by-step explanation:

y = 11/6x where x is in minutes

there are 60 minutes in an hour

plug in 60 as x

11/6 *60 = 11*10 = 110

Answer:17

Step-by-step explanation:

A storekeeper increased the price of hats by 5%. Write an equation to calculate the increase of the total cost, c, when the price of a hat is p dollars.

Answers

Answer:

c = 1.05p

Step-by-step explanation:

the price of the hat before the increase was 100%, after the increase it becomes 100 + 5% = 105%. Representing it as a decimal becomes 1.05p

Let illustrate with an example.

The price of a hat was $100, after the 5% increase. the cost of the hat becomes

100 + (0.05 x 100) = 105

To find the percentage increase

divide 105 by 100 and subtract 1

(105/100) - 1 = 1.05

How many pounds of cucumbers did Josh actually buy?

Answers

Answer:

can you give the question

Step-by-step explanation:

Answer:

4.5

Step-by-step explanation

$2.79 divided by the .62 per pound is equal to 4.5 pounds of cucumbers.

Check: 4.5 times .62 is equal to $2.79

This should be the answer :)

Please help , will mark

Answers

I think that the correct answer to this would be 490 in.²

20 POINTS FOR THIS GUYS

Answers

Uwuwuwuwuwuwuwuwuwuwuwuwu

Answer:

Slope is 5

Y-intercept is 35

what is the value of the 4 in the number 5,942

Answers

Answer:

tenths

Step-by-step explanation:

HELPPPPPPPPPPP! Henley wants to buy a laptop for $1,100. She currently has $110 in savings. Assuming she continues to save 10% of her take home pay each month, which is $3,300, how many months will it take for Henley to have enough for the laptop?

Answers

Answer:

3months

Step-by-step explanation:

target $1100

currently saved $1100

so we get the amount she need to save to get to the target.

$1100 - $110= $990 Need to be saved

saving rate 10% of $3300= $330 per month

to get the number of months she need to save, we divide amount needed by amount saved per month; $990 ÷ $330= 3months

i dnt understand this

Answers

Answer:

3017.54

Step-by-step explanation:

3.14 x radius(squared)

31 squared =961

3.14 x 961=

Ok the radius is 62yds because it’s half the length on the circle. To find area of a circle you square the radius and multiply it time pie(3.14). To square something you multiply that number by it’s self.

Formula: A= π x r squared
Answer: 12,070.16 yd

HELPHELPHELPHELPHELPHELPHELP​

Answers

yes since you multiply the x number by 3 to get y

Yes because each x can be multiplied by 3 to get y
Pls give brainliest

Find the surface area of the solid below.

Answers

49. im pretty sureee !!

Please help answer correctly !!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!

Answers

Answer:

EG is perpendicular to HF

Step-by-step explanation:

We know this because in order for two segments to be perpendicular there has to be a right angle. And there is a right angle therefore segment EG is perpendicular to segment HF

Answer:F is perpindicular to G

Step-by-step explanation: Well I think this because they both have angles but im kinda confused to this is just a guess

(3k2 - 7k + 12) = (3k + 2)​

Answers

Answer:

K= 4

Step-by-step explanation:

Alternative form: k=2 1/2
Alternative form: 2.5

Grace cut 3 pieces of ribbon; each piece was 25 of a foot long. How many feet of ribbon does she have in all? Express your answer as a mixed number (the sum of a whole number and the remaining fractional units). Draw a number line to represent the problem.

Answers

Answer:

one piece = 1/3

Step-by-step explanation:

Answer:

she has 75 feet of ribbon, this number cant be expressed as a mixed number

Step-by-step explanation:

The point R(1, -3) is translated 1 unit left and 2 units up.

What are the coordinates of the resulting point, R′?

Answers

Answer:

(0,-1)

Step-by-step explanation:

9 tens eqaul's how many ones? someone please help

Answers

Answer:

9 tens will be 90 (9x10=90) so there will be 90 ones

Step-by-step explanation:

I think that's what you are asking right?

Answer:

you are 100 percent correct

I need this done fast, it's due today!

Answers

Answer:

(0, 50) (25, 57.5) (50, 122.5) (75, 195) (100, 275)

Step-by-step explanation:

We know that he earns 30% percent of the money made on sales, plus $50 a week. We know that he starts off with 50, because that's how much he made by working that week. To figure out how much money he made off of each one, we have to calculate 30% of the sale, and add that to the total amount of money he has made up to that point. I hope this helps :)

Answer:

y=50x(.3)+30

Step-by-step explanation:

You get an average of $50 per week and then work 30 hours per week but the outcome is multiplied by .30 from the sales commision so the answer would be y=50x(.3)+30

which graph represents the function f(x) and f^-1(x)?

Answers

The graph in the top left hand corner. A

Graph that represents the function f(x) and  [tex]f^{-1}(x)[/tex] is the first graph

Option A

Given :

The graph of some functions are given

we need to find out which graph represents the function f(x) and f inverse (x)

we know that [tex]f^{-1}(x)[/tex] is obtained by reflection the graph of f(x) about the line y=x

We look at the graph where f(x) is reflected about the line y=x

In the first graph we can see that the graph has a reflection about the line y=x

Option A graph represents the function f(x) and  [tex]f^{-1}(x)[/tex]

Learn more :

brainly.com/question/20690721

Can someone help me me with this

Answers

Answer:

51

Step-by-step explanation:

plug in

6+5(9)

6+45

51

Answer: 51

Step-by-step explanation:

b+5a let b =6 let a =9

6+5(9)

6+ 45

51

In triangle RST, RT = 16, ST = 24, and m< R = 120. To the nearest tenth, what is m < s ?

Answers

Answer:

m<S = [tex]35.3^{o}[/tex]

Step-by-step explanation:

Applying the sine rule to the given question, we have;

[tex]\frac{r}{Sin R}[/tex] = [tex]\frac{s}{Sin S}[/tex]

[tex]\frac{24}{Sin 120}[/tex] = [tex]\frac{16}{Sin S}[/tex]

cross multiply to have,

16 x Sin 120 = 24  x Sin S

16 x 0.8660 = 24 Sin S

13.856 = 24 Sin S

Sin S = [tex]\frac{13.856}{24}[/tex]

         = 0.57733

S = [tex]Sin^{-1}[/tex] 0.57733

  = 35.2630

Thus, m<S = [tex]35.3^{o}[/tex]

You will get 18 points if you answer correctly


The figure shows a quadrilateral. The length of each side is given as shown. Find the perimeter of the quadrilateral in terms of z

Answers

Answer:

can u provide a picture of this problem?

Answer:

Can you upload the image?

Then I can edit my answer to help.

please help me with my math work, i included the picture so its easier for you

Answers

Thanks for the points

-6x -6y = 66
2x + 4y = -32​

Answers

Answer:

(23/2, 1/2)

Step-by-step explanation:

Let's solve this system through elimination by addition/subtraction:

Divide all three terms of the first equation by 3.  This results in the equivalent system

-2x - 2y = 33

2x + 4y = -32

Combining like terms results in:

2y = 1, and so y = 1/2.

Let's use the first equation and y = 1/2 to find x:

-6x - 6(1/2) = 66

This becomes -6x - 3 = 66, or -6x = 69, or x = -69/6 , or x = 23/2

The solution is thus (23/2, 1/2)

-

The area of a rectangle is 756 square centimeters. The of the long the width is 7:3. Find the length and the width

Answers

Answer:

18 cm and 42 cm

Step-by-step explanation:

a = wl

7w = 3l, then l = 7/3w

756 = w(7/3w)

756 = 7/3w²

w² = 324

w = 18

l = 42

Jamal has 30 ounces of a 20% saline solution. This means 20% of the solution is salt. He combines this solution with 25 ounces of a
30% saline solution
What is the total amount, in ounces, of salt in the combined moxture?​

Answers

Answer:

12.5

Step-by-step explanation: add the formula

The volume of the figure below is 120 cubic inches. Solve for x

Answers

Answer:

Step-by-step explanation:

Volume of triangular prism=120in³

Area of triangle ×length =120in³

1/2×6×x×4=120in³

12x=120

X=120/12=10in

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