Work out the equation of the line which has a gradient of 1/2 and passed through the point (4,-2)

Answers

Answer 1

Answer:

2y-x = -8

Step-by-step explanation:

The equation if a line ilin point slope form is expressed as;

y-y0 = m(x-x0)

M is the slope

(X0,y0) is the point

Substitute

y - (-2) = 1/2(x-4)

y+2 = 1/2(x-4)

2(y+2) = x-4

2y+4 = x-4

2y-x = -8

Hence the required equation is 2y-x = -8


Related Questions

HELPPPPPPPPPPPPPPPPPPP

Answers

Answer:

1 meter = 100 cm

6 meters = 600 cm

600 x 3 = 1800 cm

what is 82.68 ÷ 1,000?​

Answers

Hello, I am BrotherEye

Answer:. 0.08268

Step-by-step explanation:

However many zeros there is you push that down so if it was 20.40 divided by 100 there is two zeros in 100 so the answer would be .2040

At the last basketball game ,12 out of the first 48 people who entered the stands were wearing a coat. if this sample is representative of the 200 people attending the game , about how many are wearing a coat?

Answers

Answer: attending the game

Step-by-step explanation:

Given: 12 out of the first 48 people who entered the stands were wearing a coat.

That means, Proportion of people wearing coat = [tex]\dfrac{12}{48}=\dfrac{1}{4}[/tex]  (People wearing coat divided by Total people)

Total people in the sample attending the game= 200

Number of people wearing a coat = [tex]200\times\dfrac14[/tex]

[tex]=50[/tex]

Hence, 50 people are wearing a coat.

Please help The question is in the screenshot down below.

Answers

Answer:

Scale factor of 2

Step-by-step explanation:

The base legnth of the after image is 8 and the original base legnth is 4 so 8/4=2

find the value
-1+5/9

Answers

Answer:

-4/9........

Step-by-step explanation:

can u mark my answer the branliest

20 POINTS GUYS

EASY WORD PROBLEM ⦁ The cylindrical Giant Ocean Tank at the New England Aquarium in Boston is 24 feet deep and has a radius of 18.8 feet. Find the volume of the tank.
⦁ Use 3.14 for pi and round your answer to the nearest tenth if necessary.

Answers

Answer:

26635.2

Step-by-step explanation:

pi18.8^2=~1109.8

1109.8*24=26635.2


The temperature was -2°F in the afternoon and is now -30°F. How many degrees did it drop?

Answers

Answer:

28°

Step-by-step explanation:

Let's take 'x' as the number of how much degrees it dropped. So this is how the equation will look like:

-2 - x = -30

It is '-x' since the temperature 'decreased', so you must a subtract.

Take -30 to the other side and substitute it with '-x'. Since both the terms are shifted, -30 will be +30 and -x will be +x (which is equivalent to x).

x = -2 + 30

x = 28°

∴ There was a 28° drop.

I need help with this

Answers

Answer:

36 i think idrk im just tryna help

Step-by-step explanation:

what is the value of 1/4 to the third power

Answers

Answer:

0.015625

Step-by-step explanation:

The answer ie 0.015625

Six times a number, b, minus 5,write this as an expression

Please help me and thank you so much

And this is 10 points

Answers

Answer:

6b-5

Step-by-step explanation:

on a test spencer got 1/8 of the problems worng . which set best represents the ones he got worng
A. 4/16 . 12.5
B, 6/62 , 125%
C. 2/16 ,125
D. 4/32 , 12.5%

Answers

B I think lol hfrhbffgg
I think it would be c and d, since those are the same fractions in different ways.



12 cm
I5 cm
5 cm
The prism is made from metal.
The density of the metal is 6.6 grams per cm.
Calculate the mass of the prism,

Answers

Answer:

Step-by-step explanation:

Volume = 12* 15 * 5 = 900 cm^3

900 cm^3 * 6.6 g/cm^3 = 5940 g

Find the value of n

Can you guys help me??

Answers

Both angles are the same so you do
5n-20=3n
-20=3n-5n
-20= -2n
n= -20 divide by -2
So n is -2

Answer:

n=10

Step-by-step explanation:

5n-20=3n

5n-3n=20

2n=20

n=20÷2

n=10

hope I helped you

Scott was going to sell all of his stamp
collection to buy a video game. After selling
half of them he changed his mind. He then
bought fifteen more. How many did he start
with if he now has 40?

Answers

Answer:

50

Step-by-step explanation:

X/2 +15=40

X=50

That's the answer

Real life application of ratio and proportion?????

Answers

Answer:

pajajsssskskanahgwuwuwuqklakbqjqjq

Oscar needs to ship 24 rock CDs, 12 classical CDs, and 8 pop CDs. He can pack only one type of CD in each box and he must pack the same number of CDs in each box. What is the greatest number of CDs Oscar can pack in each box?

GCF AND LCM

Answers

Step-by-step explanation:

We need to do GCF in this case.

2_|_ 24

2_|_ 12

2_|_ 6

3_|_ 3

_|_ 1

|

2_|_ 12

2_|_ 6

3_|_ 3

_|_ 1

|

2_|_ 8

2_|_ 4

2_|_ 2

_|_ 1

|

GCF = what all is common in the sequence.

In every sequence, 2×2 is common.

So, 4 is the answer.

Hope it helps :)

Answer:

I was also confused on this, how do you guys understand this? I need help with this as well please

y+3= 2/3(x - 2)
Solve the system by graphing

Answers

Answer:

y=2/3x-13/3

Step-by-step explanation:

i hope this helps

Jess used
11 1/2 cups of flour to make 3 1 / 2
batches of oatmeal cookies. One batch makes 24 cookies.
If Jess follows the same recipe, about how many cookies can she make with 16 1/2 cups of flour ?

A- 30

B- 120

C-200

D-380

Answers

Answer:

Step-by-step explanation:

C

The formula for the area of a rectangle is A=l×w where l= length and w= width.

What is the area of rectangle EFGH you plotted in question 1? Write your answer in the box below.

Answers

Answer:

not the answer you want but use symbolab its a calculator I use it all the time for any math problems hope it helps

Step-by-step explanation:

Which expression will give you the phase shift when the standard form is f(x)=asin(bx+c)+d
A. |a|
B. 2⁄|b|
C. -c/b
D. d

Answers

Answer:

1. A and C

2. C

3. B and E

4. B and C

Step-by-step explanation:

I just took the test 100%

a student is creating a model of a concave lens. The diagram show her incomplete model​

Answers

Answer:

D

Step-by-step explanation:

D is correct.

4x-8+3x-16+95=180 or else im so confused

Answers

Answer:

x = 17, see below for angle measures

Step-by-step explanation:

You're on the right track!

The sum of those two angles inside the triangle equal that opposite angle outside of the triangle. Therefore, you can set them equal to each other.

(4x - 8) + (3x - 16) = 95

Because you are adding the expressions, you can take away the parentheses without changing anything.

4x - 8 + 3x - 16 = 95

Now you want to combine like terms on the left side.

4x + 3x - 8 - 16 = 95

7x - 24 = 95

Combine like terms once again.

7x = 119

Divide to isolate x.

x = 119/7

x = 17

Plug this value back into each expression to find the angle measures.

∠HFG = 4x - 8

∠HFG = = 4(17) - 86

∠HFG = 68 - 8

∠HFG = 60º

∠FGH = 3x - 16

∠FGH = 3(17) - 16

∠FGH = 51 - 16

∠FGH = 35º

∠FHI = 95ª

∠FHG = 180 - 95

∠FHG = 85º

What is the value of w?

Answers

Answer:

14

Step-by-step explanation:

this is a 30-60-90° Δ and the sides, respectively, have the ratio of 1 : [tex]\sqrt{3}[/tex] : 2

we can set up a proportion and cross-multiply based on that ratio:

w / 7[tex]\sqrt{3}[/tex] = 2 / [tex]\sqrt{3}[/tex]

[tex]\sqrt{3}[/tex]w = 14[tex]\sqrt{3}[/tex]

w = 14

Can someone explain just one of the three

Answers

I’m going to use the second one to explain

-8j + 14 = -2(4j-7)

So you distribute -2 into the parentheses on the right side, and you get -8j + 14, which is the same as the left side. Therefore, it is a true statement. It turns from a - to a + because it is two negative numbers multiplying by each other.

The area of the front side of the toy building is 1 square foot. The real building's
front side has an area of 400 square feet. If we view the real building as a dilation of the toy, what is the scale factor

Answers

The ratio or the relationship of the toy to the large building is one foot to every 400 feet so in mathematical terms it’s shown as a ratio like this... 400:1 and since they are asking about the real building as the primary reason for the ratio it’s number goes first because they are enquiring about it’s relationship to the small one.(which is worded weirdly so I think they are trying to get you messed up)
Good luck

Here is a list of numbers.
9
7
5
10
5
3
a) Work out the median.
(2)
Josh picks at random one of the numbers.
b) What is the probability that he picks an even number?
(2)
Basil has five numbered cards.
Two of the numbers are hidden. 49 ||?|?
8
The mode of the five numbers is 8
The mean of the five numbers is 6
c) Work out the two hidden numbers.
(2)

Answers

a) median is 6
put numbers in ascending order
3, 5, 5, 7, 9, 10
take 5 and 7, add them together and divide by two
7+5
——
2

= 6

that’s one part

Write an equation in slope-intercept form from the points (0, 3) and (-4,-1)

Answers

Answer:

y = x + 3

Step-by-step explanation:

Slope-intercept form is represented by the formula [tex]y = mx + b[/tex]. We can write an equation in point-slope form first, then convert it to that form.

1) First, find the slope of the line. Use the slope formula  [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex] and substitute the x and y values of the given points into it. Then, simplify to find the slope, or [tex]m[/tex]:

[tex]m = \frac{(-1)-(3)}{(-4)-(0)} \\m = \frac{-1-3}{-4-0} \\m = \frac{-4}{-4} \\m = 1[/tex]

Thus, the slope of the line must be 1.

2) Now, since we know a point the line intersects and its slope, use the point-slope formula [tex]y-y_1=m(x-x_1)[/tex] and substitute values for [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex]. From there, we can convert the equation into slope-intercept form.

Since [tex]m[/tex] represents the slope, substitute 1 in its place. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of a point the line intersects, choose any one of the given points (either one is fine) and substitute its x and y values into the equation, too. (I chose (0,3).) Finally, isolate y to find the answer:

[tex]y-3=1(x-0)\\y-3 = x\\y = x + 3[/tex]

Determine the value of b that allows each expression to be factored. (X^2-bx-8)

Answers

the answer is b=2
cuz (x-4)(x+2) multiplies
into x^2-2x-8

Please help me with this i need a A in math

Answers

the answer is A B or C and possibly D

if 2x^2-5x+7 is subtracted from x^2+2x-11, what is the leading coefficient?
a)-18
b)2
c)-2
d)7

Answers

Answer:

-1

Step-by-step explanation:

2x² - 5x + 7 is subtracted from x² + 2x - 11, so

(x² + 2x - 11) - (2x² - 5x + 7)

x² + 2x - 11 - 2x² + 5x -7 (Distribute the negative)

-x² + 7x - 18 (Combine like terms)

The leading coefficient is the coefficient of the first term, so it is -1.

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