work out the equation of the line which has a gradient of 2 and passes through the point (1, 4)

Answers

Answer 1

Answer:

y = 2x + 2

Step-by-step explanation:

The slope is also called the gradient of the line.

The slope that is given is two, and the point is (1, 4).

I made a point slope equation, and then converted it into a slope-intercept equation.

[tex]y-4=2(x-1)\\\\y-4=2x-2\\\\y-4+4=2x-2+4\\\\\boxed{y=2x+2}[/tex]

Hope this helps.


Related Questions

9. Given that P = (-1,16) and Q = (1, 9), find the component form and
magnitude of vector QP (Q is initial and Pis terminating). *

Answers

To find the component form, u only need to know how to substitute figures for letters. What do I mean by this?

If initial side is (x1,y1)
Then x1 = -1, and y 1 = 16
If the terminal side is x2, y2
Then x2 =1 and y2 =9

This component from p is x2-x1 y2-y1
In this case <[1-(-1)], (9-16)
Which give us
2,-7

If p = x ,y using Pythagorean’s theorem
2(2) + (-7)(7)
4+49
53
Square root of 53 is
7.28010988928
7.3


1) In triangle ABC, LC = 90, Write Pythagoras theorem for triangle.​

Answers

Answer:

AB² = AC² + BC²

Step-by-step explanation:

Since,

H² = A² + O²

You play a video game for 5 minutes. You lose 15 points. What integer represents the average change in points per minute?
sho your work

Answers

Answer:

-3 points per minute

Step-by-step explanation:

if you got -15 points in 5 minutes, divide  both by 5 to get -3 points per minute

In your own words, explain the steps you would need to take to find a slope from data in a table.

Answers

Answer:

Pick two points on the line and determine their coordinates. Determine the difference in y-coordinates of these two points (rise). Determine the difference in x-coordinates for these two points (run). Divide the difference in y-coordinates by the difference in x-coordinates (rise/run or slope).

Step-by-step explanation:

Answer:

To Find the slope of a data table, you first need to plot two points on the line. It is easiest if the points are on a coordinate with whole numbers (i.e. (3,6 and (4,8)). Once you have plotted two pints, you then need to take the value of the point with the largest x value, and subtract the other points from it (i.e. (4,8)-(3,6)=(1,2). Then, take the new y value, and divide it by the new y-value (i.e. (2/1), and you have your slope.

Step-by-step explanation:

plot points (3,6), (4,8)

subtract points (4,8)-(3,6)=(1,2)

divide new points 2/1

m=2/1, or 2

Use distributive property. 4 x 63 = ??

Answers

Answer:

(4) * (63)

252

(* ̄3 ̄)╭

7. Emma says that Function A and
Function B have the same initial
value. Is Emma correct? Justify your
response.
Function A
ly У
6
4
2
х
0
0 2 4 6
Function B
4
6
8
10
2
х
4
6
3
5
2
у

Answers

Answer:

NO. Emma is not correct.

Step-by-step explanation:

✔️Initial value for Function A:

The initial value is the y-intercept of the graph. The y-intercept is the point at which the line intercepts the y-axis. From the graph given, the line intercepts the y-axis, at y = 2, when x = 0.

Initial value for Function A is therefore = 2

✔️Initial Value of Function B:

To find the initial value/y-intercept for Function B, do the following:

Using two pairs of values form the table, (2, 2) and (4, 3), find the slope:

Slope (m) = ∆y/∆x = (3 - 2) / (4 - 2) = 1/2

Slope (m) = ½

Next, substitute (x, y) = (2, 2) and m = ½ into y = mx + b, to find the intial value/y-intercept (b).

Thus:

2 = ½(2) + b

2 = 1 + b

2 - 1 = b

1 = b

b = 1

The initial value for Function B = 1

✅The initial value for Function A (2) is not the same as the initial value for Function B (1). Therefore, Emma is NOT CORRECT.

please use the image to solve it

Answers

Answer:

C, D and E are the correct statement

PLZ HELP PLZ HELP PLZ HELP PLZ HELP PLZ HELP PLZ HELP NO ONE HELPS ME 50 POINTS I WILL GIVE MORE PROBLEMS FOR MORE POINTS JUST PLZZZZZZ HELP
Carmen is filling a tank with water at a rate of 4 gallons per minute. The tank already had 170 gallons of water in it. Suppose the tank holds a total of 350 gallons of water. How much longer will it take her to fill the tank?

(a) Write an equation to help answer the question above.
Choose the correct form below and fill in the blanks using only 4, 170, and 350.
(The variable x is used to represent the number of minutes.)

o_x+_=_
or
o_-_=_
(b) Write an expression to help answer the question above.
Choose the correct form below and fill in the blanks using only 4, 170, and 350
o_+_
_
or
o_-_
_

(c) How much longer will it take Carmen to fill the tank?
_ minutes

Answers

Answer: In explanation

Step-by-step explanation: 350-170=4x

Solve                                     180=4x

                                              45=x    45 minutes longer

4x+170=350 because you would want to subtract 170 from each side not add 170 to each side when simplifying

4x+170 because that is how much gas the tank can hold.  You need to have 4x in the equation and 350 and 4x wouldn't make sense so use 4x and 170.

45 minutes as stated above.

ps help asap for brailest

Answers

Answer:

i think answer number 3

Step-by-step explanation:

hope i helped :)

Which of the following lists of lengths could not be the side.
lengths of a triangle?
Select one:
O
5 cm, 7 cm, 15 cm
3 cm, 3 cm, 3 cm
О
4 cm, 4 cm, 5 cm
2 cm, 6 cm, 7 cm

Answers

The answer is 5cm 7cm and 15 cm I am pretty sure

Use the figure.

diameter is 10m

A circle has a diameter labeled ten meters.
Find the circumference. Round your answer to the nearest hundredth. Use 3.14 for π

Answers

Answer:

FOR ALL MY POINTS write an argumentative essay on why dog parks are "helpful or harmful"

READ PROMPT

Step-by-step explanation:

Answer:

Formula for the circumference of a circle =2pir

Since the diameter is 10m the radius is half of that which is 5m.

2×3.14×5=31.4m

Step-by-step explanation:

I hope this helps.Have a great day♡

Help on math thanks its due today so i need it!!

Answers

Answer: it is the first one

Step-by-step explanation:

8300 dollars is placed in an account with an annual interest rate of 6.5%. How much will be an account after 14 years, to the nearest cent?

Answers

Answer:

$ 20,043.46

Step-by-step explanation:

Answer:

A = $ 20,043.46

A = P + I where

P (principal) = $ 8,300.00

I (interest) = $ 11,743.46

Calculation Steps:

First, convert R percent to r a decimal

r = R/100

r = 6.5%/100

r = 0.065 per year,

Then, solve our equation for A

A = P(1 + r/n)nt

A = 8,300.00(1 + 0.065/1)(1)(14)

A = $ 20,043.46

Summary:

The total amount accrued, principal plus interest,

from compound interest on an original principal of

$ 8,300.00 at a rate of 6.5% per year

compounded 1 times per year

over 14 years is $ 20,043.46.

Please help meh with this question if you get it correct I'll give tah brinleist!! Tyy!! °^°

Answers

Answer:

area

Step-by-step explanation:

Answer:

area area area area rea (minimum character limit)

PLEASE HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP ASAP
For 5 days, Tony put $4 into his savings account each day. His parents also added a certain amount of money to the account each day. In the end, there was a total of $40 in the account. How much money did Tony's parents add each day?

(a) Write an equation that could be used to answer the question above. First, choose the appropriate form. Then, fill in the blanks with the numbers 5, 4, and 40. Let represent the amount (in dollars) Tony's parents added each day.

o_(x+_)=_
or
o_(x-_)=_

(b) Solve the equation in part (a) to find the amount (in dollars) Tony's parents added each day.
x=_

Answers

Answer: lol i may be wrong but...

Step-by-step explanation: im

pretty sure the equation would 5(x+4)=_

and the amount of money his parent put in was also $4 evreyday for 5 days.

Simplify. Write your answer in standard form.
4n (3n^(2) + n - 4) - n (3 - n)​

Answers

Answer: 16n^3 - 8n^2 - 16n

Blank minus 1/8 equals 1/2​

Answers

Answer:

5/8

Step-by-step explanation:

hope this helps you!!!!

Someone pls pls help

Answers

Step-by-step explanation:

(4,20) means that the snail took four hours to cover a distance of 20 feet.

Adam is trying to estimate the height of the school. He notices during a
particular time of day that his shadow is 8.5 feet ling and the school casts
a shadow 59.5 feet long. If Adam is 6 feet tall, what is the height of the
school?

Answers

Answer:

42.5 maybe

Step-by-step explanation:

The function g is defined by the following rule.
g(x) = 4x + 2
Complete the function table.

Answers

Answer: g(x)= solve for x

G(x)=4x+2

I think 4x+2 is in standard form but if not

Do divid by four

Which is about 0.5

X=0.5

Help ASAP 10 points

Is this a right triangle

Answers

No it is not a right triangle

If there is 45 ml of milkshake left .She used 1 part strawberry cream to 4 parts milk .How many ml of milk is left?

Answers

Given:

Remaining milkshake = 45 ml

She used 1 part strawberry cream to 4 parts milk.

To find:

The remaining amount of milk.

Solution:

It is given that, she used 1 part strawberry cream to 4 parts milk. It means the ratio of strawberry cream and milkshake is 1:4.

Let the remaining amount strawberry cream be x and the remaining amount of milk is 4x. Then,

[tex]x+4x=45[/tex]

[tex]5x=45[/tex]

[tex]x=\dfrac{45}{5}[/tex]

[tex]x=9[/tex]

Now, the remaining amount of milk is:

[tex]4x=4(9)[/tex]

[tex]4x=36[/tex]

Therefore, the remaining amount of milk is 36 ml.

O persoană avea 1200 lei și a cheltuit 15% din ei pentru o camașă si 40% din ei pe o pereche de pantofi.Ce sumă i-a rămas?

Answers

Answer:

540 lei

Step-by-step explanation:

Pasul 1

Suma cheltuită pe cămașă se calculează astfel:

1200 lei × 15%

= 1200 lei × 15/100

= 180

Pasul 2

Suma cheltuită pentru o pereche de pantofi se calculează astfel:

1200 lei × 40%

= 1200 lei × 40/100

= 480 lei

Pasul 3

Suma rămasă este calculată ca:

Suma totală - (Suma cheltuită pe cămașă + Suma cheltuită pe încălțăminte)

1200 lei - (180 + 480) lei

1200 lei - 660 lei

= 540 lei

is 7^2 greater then or less than 3^4?​

Answers

Answer: Less Than

Step-by-step explanation: 7^2 = 49, but 3^4 = 81. 49 < 81

Answer: less

Step-by-step explanation: 7^2 is 49 and 3^4 is 81....

hello i dont wanna do this question rn anyone can help ill give 5 stars

Answers

Answer:

The answer is c

Step-by-step explanation:

Answer:

C. 36

Step-by-step explanation:

b can't be 45 because 10 is 45. b also can't be less than 27 because 6 is 27. So it would be 36 by process of elimination.

the square on the right is a scaled copy of the square on the left identify the scale factor

Answers

1.5

39/2 = 19.5

19.5/13 = 1.5

The figure below shows a shaded region and a non-shaded region. Angles in the figure that appear to be right angles are right angles.

What is the area, in square feet, of the shaded region?

What is the area, in square feet, of the non-shaded region?

Answers

Answer:Area of part 1:

A1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

Area of part 2:

A2=length*width=(8+2)*1=10 ft2

Area of part 3:

A3=length*width=8*2=16 ft2

Total shaded area : A1+A2+A3=41 ft2

Total area of the reactangle : A=16*8=128 ft2

Total area of the nonshaded region : 128-41=87 ft2

Step-by-step explanation: Plz make brainliest

Answer:

Total shaded area : A1+A2+A3=41 ft2

Total area of the reactangle : A=16*8=128 ft2

Total area of the nonshaded region : 128-41=87 ft2

Hiiioo! Can someone please help ❤️❤️:( :D

Answers

Answer:

I cant see it....

Step-by-step explanation:

What is the slope of the line

Answers

Answer:

2

Step-by-step explanation:

So first, you have to know the equation y2-y1/x2-x1 which you can use any point on the line. I will pick a random point and show you. (0,-3) and (2,1). Plug these two points into the equation and get 1--3/2-0. Simplify this and get 4/2 which is equal to 2.

Just a reminder y2 and x2 is not y squared and x squared, it is just the second number of the points.

Hope this helps

i will give brainly if you answer first
The percentage of pepperoni in a pizza is 35.67%. What is 35.67% rounded to the nearest whole percent?
A. 35%
B. 35.7%
C. 36%
D. 37%

Answers

Answer:

C

kanavgaudodkebwgagk

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