what is the equation of a line whose slope is -2 and whose y-intercept is 4?

Answers

Answer 1

Answer:

y=-2x+4

Step-by-step explanation:

if y is 4..it means x intercept is 0

gradient is -2

and we know gradient is the change in y /change in X

so: we let the second intercepts to be (x,y)

so y-4/x-0=-2

multiply by x-0 both sides then collect like terms together

it will be y= -2x+4


Related Questions

What percent of 80 is 16

Answers

Answer:

20 percent

Step-by-step explanation:

20 percent

Step 1: 16/80

Step 2: 16/80 x 100/100 = 20/20

Step 3: 20

Can anybody help me with this pls?
a plane intersects the coordinate axes at the point (2,0,0), (0,3,0) and (0.0.4) the obteined point is ax+by+cz+d, find value of d

Answers

Answer:

  d = 12

Step-by-step explanation:

In intercept form, the equation of the plane is ...

  x/a +y/b +z/c = 1 . . . . . for x, y, z intercepts a, b, c

You have (a, b, c) = (2, 3, 4), so the equation of the plane is ...

  x/2 +y/3 +z/4 = 1

Multiplying by 12 gets rid of the fractions and puts the equation in standard form:

  6a +4y +3z = 12

The value of d is 12.

Two motorcyclists, who start their journeys at the same instance from two different cities,
travel with uniform speeds of 40 km/h and 50 km/h respectively towards each other. If they meet
each other after 1.5 hours after commencing their journeys, find the distance between the two
cities.
QUICK

Answers

Answer:

54

Step-by-step explanation:

Simplify
[tex] \binom{2x + y \: \: 3y}{6 \: \: \: \: \: 4} = \binom{6 \: \: 0}{6 \: \: 4} [/tex]
Find x and y

Answers

Answer:

I am hacker

Step-by-step explanation:

[tex] \huge \color{blue}{ \rule{10000pt}{100000pt}}[/tex]

[tex] \huge \color{blue}{ \rule{10000pt}{100000pt}}[/tex]

[tex] \huge \color{blue}{ \rule{10000pt}{100000pt}}[/tex]

[tex] \huge \color{blue}{ \rule{10000pt}{100000pt}}[/tex]

[tex] \huge \color{blue}{ \rule{10000pt}{100000pt}}[/tex]

[tex] \huge \color{blue}{ \rule{10000pt}{100000pt}}[/tex]

[tex] \huge \color{blue}{ \rule{10000pt}{100000pt}}[/tex]

[tex] \huge \color{blue}{ \rule{10000pt}{100000pt}}[/tex]

you have a pathetic life

Answer:

By comparing ,

2x + y = 6

3y = 0

y= 0/3

•°• y = 0

2x + y = 6

2x + 0 = 6

2x = 6

x = 6/2

•°• x = 3

hope it helps :)

A bike path is 12.5 miles. Dominic is 70​% of the way to the end. How far is Dominic on the​ path?


Pls help me

Answers

Answer:

p/12.5 = 70/100

Step-by-step explanation:

a percent is considered out of 100

since you know the total 12.5, that will fit as the whole

There are 40 students in your class of which 23 are boys. What fraction of the students are girls?​

Answers

Answer:17/23

Step-by-step explanation:

Answer:  17/40 of the students are girls.

Step-by-step explanation:

First, to find the number of girls in the class, we can subtract the number of boys (23) from the total number of students (40) to get:

40 - 23 = 17

There are 17 girls in the class.

Finally, to get the fraction of the girl students of the class, we can divide the number of girls (17) by the total number of students (40) to get:

17 ÷ 40 = [tex]\frac{17}{40}[/tex]

Since the fraction [tex]\frac{17}{40}[/tex] is already simplified, the final answer comes out to be [tex]\frac{17}{40}[/tex].

15.
How many values are in the data set whose histogram is shown below?

Answers

The total values in the dataset is 24 values

From the given histogram, to get the number of values in the dataset, we will have to trace each bar to the y-axis and then take the sum.

For the black bar, the total values of the dataset will be 11 + 2 = 13For the white bar, the value of the data st will be 3For the grey bar, the total values of the dataset will be 1 + 2 = 3For the ask bar,  the total values of the dataset will be 2 + 3 = 5

The total values of the dataset = 13 + 3 + 3 + 5

The total values of the dataset = 24 values

Hence the total values in the dataset is 24 values

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Answer:

answer is 22, is you add all the values

Step-by-step explanation:

How much interest will you earn if you deposit
$4000 into an account compounded semi-annually
at 2.8% for 5 years?

Answers

Answer:

45215.31

Step-by-step explanation:

$596.6 is the interest will you earn if you deposit $4000 into an account compounded semi-annually at 2.8% for 5 years.

What is compounding?

Compounding is the process whereby interest is credited to an existing principal amount as well as to interest already paid. Compounding thus can be construed as interest on interest—the effect of which is to magnify returns to interest over time, the so-called “miracle of compounding.”

According to question,$4000 into an account compounded semi-annually at 2.8% for 5 years.

We have to find interest rate.

Formula for compound interest is [tex]P[(1+i)^n-1][/tex]

Since compounding is semi-annually,

[tex]i=\frac{0.028}{2}[/tex][tex]=0.014[/tex] (since compounding is semi-annually)

[tex]n[/tex]=number of years=[tex]5[/tex] ×[tex]2=10[/tex] years (since compounding is semi-annually)

So, compound interest

[tex]=[/tex][tex]P[(1+i)^n-1][/tex]

[tex]=4000((1+0.014)^{10} -1))[/tex]

[tex]=4000[/tex]×[tex]0.1491[/tex]

[tex]=596.6[/tex]

Hence we can conclude that,$596.6 is the  interest will you earn if you deposit $4000 into an account compounded semi-annually at 2.8% for 5 years.

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A bolt has 16 1/2 turns per inch. How many turns would be in 2 1/2 inches of threads?

Answers

Answer:

41 1/4 turns

Step-by-step explanation:

create a proportion:

turns / inches = turns / inches

't' = turns

16.5 / 1 = t / 2.5

cross-multiply to get:

t = 41.25 or 41 1/4

Find the slope of the line.

Answers

first you have to pick any two points on the line

(-3,4) and (0,-2)

then you subtract the y values

-2-4= -6

after that you subtract the x values

0 - (-3)= 3

the slope is -6/3, or -2

Using your research, complete the graphic organizer below. Write 2–3 complete sentences for each
answer, and provide reasoning for your choices.
What resource would you use if you had any health-related questions or concerns?
What resource would you use if you needed health advice quickly?
Student Guide (continued)
Which resource do you think is the most useful and helpful?
Which resource do you think is the most credible?

Answers

Answer:

the discussion leader will moderate the discussion.

Meanwhile, plants are absorbing_(H2O) through their roots and storing it within their cells

Answers

The plants intake Water and Carbon Dioxide those are the reactants And after the plant is exposed to light energy also known as sunlight it produces glucose and oxygen which is the process of photosynthesis and and it takes place in the chloroplast of a plant cell.

Step-by-step explanation:

H²O+CO²-Sunlight-C⁶H¹²O⁶+O²

Chemical Equation for Photosynthesis

The area of the rectangular roof on a dollhouse is 756 square inches. The length of the roof is 108 inches. How many inches wide is the roof?

Answers

Answer:

7 inches

Step-by-step explanation:

756÷108=7

that's about it, but I just divided the area and length.

Question 3 of 10
Find tan 0

Answers

[tex]\tan \theta = \dfrac{\text{Opposite side}}{\text{Adjacent side}} = \dfrac{16}{12}[/tex]

find the maclaurin series of the given function f(x)=ln(1-x)

Answers

Answer:

[tex]-a-\frac{a^2}{2}-\frac{a^3}{3}-\frac{a^4}{4}-...-\frac{a^n}{n}-...[/tex]

Step-by-step explanation:

1) the rule is:

[tex]ln(1+a)=a-\frac{a^2}{2}+\frac{a^3}{3}-\frac{a^4}{4}+...+(-1)^{n-1}\frac{a^n}{n}+...[/tex]

2) according to the rule above:

[tex]ln(1+(-a))=(-a)-\frac{(-a)^2}{2}+\frac{(-a)^3}{3}-\frac{(-a)^4}{4}+...+(-1)^{n-1}\frac{(-a)^n}{n}+...[/tex]

finally,

[tex]ln(1-a)=-a-\frac{a^2}{2}-\frac{a^3}{3}-\frac{a^4}{4}-...-\frac{a^n}{n}-...[/tex]

Find the slope. Name the unit rate

Answers

Answer:

The slope is 4/5 i dont know unit rate though, hope this helps:)

I need help with this question

Answers

Take a picture of your work and send it so I can help you

solution to the system
y=-x2-3x+2
y=x+6

Answers

Answer:

[tex]x=-2,y=4[/tex]

Step-by-step explanation:

[tex]y=-x^2-3x+2[/tex]

[tex]y=x+6[/tex]

[tex]x+6=-x^2-3x+2[/tex]

[tex]x^2+x+6=-3x+2[/tex]

[tex]x^2+4x+6=2[/tex]

[tex]x^2+4x+4=0[/tex]

[tex](x+2)(x+2)=0[/tex]

[tex]x=-2[/tex]

[tex]y=(-2)+6=4[/tex]

Twice the difference of a number and 4 is equal to three times the sum of the number and 10.

Answers

Answer:

2(x-4)=3(x+10)

Step-by-step explanation:

A line with a slope of 8 goes through the point (2, 27). It also goes through the point (-2,p). What is the value of p?.

Answers

Answer:

The value of p is -5.

Step-by-step explanation:

Given the slope and a known point, you have 3 of the 4 variables and you can use them to solve for the y-intercept of the line.

[tex]y=mx+b\\(27)=(8)(2)+b\\27=16+b\\11=b\\b=11[/tex]

Now, with the slope and the y-intercept, you can write the equation of the line:

[tex]y=8x+11[/tex]

Finally, you can use that equation to solve for y at x = -2:

[tex]y=8(-2)+11\\y=-16+11\\y=-5[/tex]

The value of p is -5.

You can also see that on a graph.

Find the equation of the line passing through the point (−5,−9) and parallel to the line y=3x+2 .

Answers

Answer:

Root:(-⅗,0)

vertical intercept:(0,5)

Step-by-step explanation:

y^ –7x^3 zx^–1y^7 z^–4 simplified

Answers

Answer: -7x^4 y - 7zx + y - 4

Step-by-step explanation:

NO LINKS OR FILES THINGS LIKE THAT!!!!!!
DUE TODAY!!!!!!
Write format:
(Quarters,Dimes)
No spaces
Example:
5 quarters, and 2 dimes should be written as (5,2)

Answers

Answer:

  (4,8)

Step-by-step explanation:

One of the marked points on the black line is (4,8).

__

You will notice that the only combination worth $3.00 is (12,0).

59) Two times a number added to another number is 25. Three times the first number minus the other number is 20.
Find the two numbers.

Answers

[tex]\huge \bf༆ Answer ༄[/tex]

Let the first number be x and second one be y !

Here's the Expressions representing the above scenario ~

[tex] \sf2x + y = 25[/tex]

[tex] \sf3x - y = 20[/tex]

If we add these two equations we will get ~

[tex] \sf2x + y + 3x - y = 25 + 20[/tex]

[tex] \sf5x = 45[/tex]

[tex] \sf x= 45 \div 5[/tex]

[tex] \sf x = 9[/tex]

Now, plug the value of x in first equation ~

[tex] \sf2x + y = 25[/tex]

[tex] \sf(2 \times 9) + y = 25[/tex]

[tex] \sf18 + y = 25[/tex]

[tex] \sf y = 25 - 18[/tex]

[tex] \sf y = 7[/tex]

Therefore, the first number is x = 9 and the second number is y = 7

Find the value of 5x + 6 when x = -2

Answers

Answer:

- 4

Step-by-step explanation:

Substitute x = - 2 into the expression

5x + 6 = 5(- 2) + 6 = - 10 + 6 = - 4

Terry practices the same amount of time each day for his soccer tryouts. In 4 days, he has practiced for 360 minutes. Let x represent the number of days Terry practices, and let y represent the number of minutes he practices. Write an equation that could be used to represent this relationship.

Answers

Answer:

90

Step-by-step explanation:

390 ( 40; 6 )

Which choices are equivalent to the expression below? Check all that apply.
5/3
I A. 75
]
B. v3.15
I C. 75
O D. 125. 3
IE. 45
0 F 15.15

Answers

Answer:

ADF

Step-by-step explanation:

A.root 75=root25 xroot3=5root3

B.=root15

C=75

D=5root3

E:=root9xroot5=3root5

F=root5xroot5xroot3=5root3

The solution is Option A , Option D , Option F

The values of the equations are √75 , √25 x √3 and √15 x √5

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

A = 5√3   be equation (1)

On simplifying the equation , we get

The value of A = √ ( 5 )² ( 3 )

The value of A = √25 x √3

The value of A = √75

The value of A = √15 x √5

Hence , the values of the equations are √75 , √25 x √3 and √15 x √5

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is 5.243 greater, equal to ,or less than 5.4?

Answers

Answer:

5.243 is less than 5.4....

5.243 is less than 5.4

Area of rectangle 2x8/9

Answers

Answer:

32/9

Step-by-step explanation:

2*(2)(8/9) = 4*8/9 = 32/9

If a function is restricted, is there no end behavior?

Answers

Answer:

If a function is restricted, it still has an end behavior!!!

Step-by-step explanation:

Let's say we have f(x)=(x-4)^2, x≥4.

If this function is graphed, we can see that the line starts at (4,0). It only has one side to it.

This means that it is restricted on the left side. In other words, x has to be greater than or equal to 4.

However, just because this function is restricted doesn't mean it doesn't have an end behavior!

As we can see, the graph continues on into eternity. As a result, we can write the end behavior as:

x --> ∞, f(x) --> ∞

There is no end behavior for the left side because that's where the graph is restricted.

Hope this helps!

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