Write an equation of a line that has a y-intercept of 5 and passes through the point (-4,4)
I need Help please

Answers

Answer 1

Answer:

[tex]\huge\boxed{y= \frac{1}{4}x+5}[/tex]

Step-by-step explanation:

In order to find the equation to this line, we have to note that with an incomplete equation, we can substitute in a point on the graph to find an unknown value.

The equation of a line is most commonly written in slope-intercept form, making it [tex]y=mx+b[/tex], where m is the slope and b is the y-intercept.

We know the y-intercept, which is 5, so our equation is currently [tex]y=mx+5[/tex].

We also know that the point (-4, 4) lies on this line. Therefore, we can plug it into our formula.

[tex]4 = -4m + 5[/tex] [tex]-1= -4m[/tex] [tex]m = \frac{1}{4}[/tex]

This means that the slope of our line is [tex]\frac{1}{4}[/tex]. Plugging that into our equation as m makes the final equation

[tex]y = \frac{1}{4}x + 5[/tex].

Hope this helped!


Related Questions

Select the expression that is equivalent to 18 : 12 A) 6 (8+6) B 12 (4+1) C 4 (443) D 8(6+4)

Answers

Answer:

Step-by-step explanation:

D 8(6+4)

What is the total amounted sap the tees produced that day

Answers

Answer:

5 gallons

Step-by-step explanation:

i have done this lesson before

5c times 3c squared to the third power

Answers

Answer:

125c^3 * 27c^6

Step-by-step explanation:

(5c * 3c^2)^3

Distribute the cube:

5^3=125 3^3=27

When raising a power to a power we multiply the exponents:

125c^3 * 27c^6

help ASAP pls and receive brain list to correct and first ​

Answers

Answer:

I'm pretty sure the answer to this is y=3

Please help
Part b is how much farther would she have to walk if she stopped at randis house before continuing on to the store

Answers

Answer:

10 units

Step-by-step explanation:

Distance from Sarah's house to Randi's house = 6 units.

Distance from Randi's house to store = 8 units.

By using Pythagoras theorem:

Distance from Sarah's house to store

[tex] = \sqrt{ {6}^{2} + {8}^{2} } \\ \\ = \sqrt{36 + 64} \\ \\ = \sqrt{100} \\ \\ = 10 \: units[/tex]

What is the square root of -16?

Answers

Step-by-step explanation:

3 is the correct answer

4i would be the correct answer.

In the diagram below, what is the approximate length of the minor arc ?
X
O A. 5.7 cm
40"
9 cm
O B. 7.1 cm
N
O C. 6.3 cm
D. 3.1 cm

Answers

Answer: c. 6.3

Step-by-step explanation:

What is measure p angles has 5 sides

Answers

Answer:

[tex]\huge\boxed{m\angle P = 94\textdegree}[/tex]

Step-by-step explanation:

In order to answer this question, we need to note a couple of things about the angle relationships in a pentagon.

A) The sum of the measures in a pentagon will be 540° (We know this because the angle sum formula tells us that an n sided polygon angles will have a sum of  [tex](n-2) \cdot 180[/tex] - 180 * 3 = 540).B) Equations can represent angle measures, added together will help us determine their value.

Since we know the sum of all of the angles will be 540, we can create an addition statement to find out the value of x.

[tex]132 + (4x-10) + (5x-11) + 128 + (4x+2)=540[/tex]

Let's solve for x.

Combine the angles we already know:[tex]132 + 128 =260[/tex] Combine like terms: [tex]260 + 13x - 19=540[/tex] Add 19 to both sides, subtract 260 from both sides: [tex]13x =299[/tex] Divide both sides by 13: [tex]x = 23[/tex]

Now that we know the value of x, we can substitute it into the expression for point P ([tex]4x+2[/tex]) to find it's value.

[tex]4 \cdot 23 + 2[/tex] [tex]92+ 2[/tex] [tex]94[/tex]

Therefore, the angle of measure P is 94°.

Hope this helped!

Which of the following is a divisor of 12! · 6! + 12! + 6! + 1?

A. 21
B. 77
C. 91
D. 115
E. 143

Hint : Use Wilson's Theorem[tex].[/tex]​

Answers

Answer:

C. 91

Step-by-step explanation:

Rewriting the given as factors:

12! · 6! + 12! + 6! + 1 =12!(6! + 1) + (6! + 1) =(12! + 1)(6! + 1) =((13 - 1)! + 1)((7 - 1)! + 1)

As per Wilson's theorem, if n is prime number, (n - 1)! + 1 is divisible by n

As per above, 13 and 7 are both prime numbers, so the expression is divisible by both 7 and 13:

7*13 = 91

So correct choice is C

The Hunters drove to visit some friends. The table below shows how long it 1 point
took the Hunters to drive certain distances. Which unit rate describes the
Hunters' speed? (6.RP.2c)
Miles
120
180
240
Hours
2.
3
4.
30 miles per 1/2 hour
O 55 miles per hour
0 60 miles per hour
O 120 miles per 2 hours

Answers

Answer:

Step-by-step explanation: 250 miles + 50 miles = 300 miles

300 miles / 5 hours = 60 miles per hour

answer asap pls no trolls!

Answers

Answer:

<d<e<f

Step-by-step explanation:

the angle order

d is smallest angle

f is largest angle

Write an equation for the line that passes through the points (0,6) and (3,0).

y=-23-6

y=-22-3

y=- 4-6

y=-22-3

Answers

Answer:

y=-2x+6

Step-by-step explanation:

So right how to do this so help me it hurts

Answers

Answer:

The answer is y=6x+2

Step-by-step explanation:

Help ASAP please. I’ll give you brainliest

Answers

Answer:

x= -83.4

830÷50= 16.6

17 coaches would be needed

£5,850

Answer:

x=1660

the value of 830÷50 is 16.6

it will take 5850 to hire 13 coaches

Brothers and sisters, I am in need of assistance from someone FAR smarter than me

Answers

The answer is a because the inter center is the angle where all the angles meet in the middle

What should be done to sove the equation?
X-17=11
Add 17 to both sides.
Add17 to the left side and subtract 11 from the right side.
Add 17 to the left side and subtract 17 from the right side.
Add 11 to both sides.

Answers

add 17 to both sides-

7 + 2 + 5 + 1 +5=?

hmmmmmmmmmmm​

Answers

Answer:

20.. ... ...... .. ........

Lots of points please help

Answers

Answer:

hi

Step-by-step explanation:

I need help on this too

Answer:

first one

Step-by-step explanation:

do i really need an explanation like come on

If f(x) = 2x + 5x and g(x) = 3x - 5, find (f+ g)(x).
O A. 2X + 8x - 5
B. 2X + 2x + 5
C. 24 - 2x - 5
D. 10x - 5

Answers

Answer:

D. 10x - 5

General Formulas and Concepts:

Algebra I

Terms/Coefficients/Degrees

Step-by-step explanation:

Step 1: Define

f(x) = 2x + 5x

g(x) = 3x - 5

(f + g)(x) is f(x) + g(x)

Step 2: Simplify

f(x) = 7x

g(x) = 3x - 5

Step 3: Find

Substitute:                     (f + g)(x) = 7x + (3x - 5)Combine like terms:     (f + g)(x) = 10x - 5

Help please, it’s due today

Answers

Answer:

X = 37

Step-by-step explanation:

A triangles angles add up to 180. You have two of the three. You can do

x + 45 + 98 = 180

then simplify

x + 143 = 180

subtract 143 from both sides

x = 37

The snowy slopes ski resort kept track

Answers

What I don’t understand what do u mean
There is no context here.

List the multiples of 6 between 6 and 54
in order from least to greatest.

Answers

Answer:

6, 12, 18, 24. 30, 36, 42, 48, 54

Step-by-step explanation:

divide 54 by 6 so you know how many times you have to multiply 6 then multiply 6 by 1, 2, 3, 4, 5, 6, 7, 8, 9 to get the answers.

one of the roots of the equation 27x^2 + bx + 8 =0 is known to be the square of the other. Find b​

Answers

Answer: Your going to have to correct your placing of your numbers.

-12 is value of b for equation 27x²+bx+8=0

What is quadratic equation?

A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .

Given,

One of the roots of the equation 27x² + bx + 8 =0 is known to be the square of the other.

We need to find the value of b.

Let one root is a and the other root is a².

(x-a)(x-a²)=0

x²-xa²-ax+a³=0

x²-x(a²+a)+a³=0

Now multiply by 2

x²-2x(a²+a)+2a³=0

x² + bx + 16=0

2a³=16

Divide both sides by 2

a³=8

a=2

27x²-2x(a²+a)+2a³=0

27x²-2x(4+2)+16=0

27x²-2x(6)+16=0

27x²-12x+16=0

b=-12

Hence, -12 is value of b for equation 27x²+bx+8=0

To learn more on Quadratic equation click:

https://brainly.com/question/17177510

#SPJ2

Find the missing value in the percent statement using a proportion.
______ is 75% of 4.

Answers

Answer: 3

Step-by-step explanation: Hope I helped

Consider a sample with data values of 27, 24, 19, 14, 30, 35, 28, and 24. Compute the 20th, 25th, 65th, and 75th percentiles.

Answers

Answer:

20th percentile = 19

25th percentile = 21.5

65th percentile = 28

75th percentile = 30

Step by Step Explanation:

Computation for the 20th, 25th, 65th, and 75th percentiles

First step is to arrange sample with data values of 27, 24, 19, 14, 30, 35, 28, and 24 in Ascending order

Ascending order of given data

14,19,24,24,27,28,30,35

Now let Compute for the 20th, 25th, 65th, and 75th percentiles

Using this formula

I=P/100*n

Where,

n =8 given data values

Let plug in the formula

1. 20th PERCENTILE

20th PERCENTILE = (20/100) * 8

20th PERCENTILE= 1.6

20th PERCENTILE = 2 (rounded up to the nearest integer)

The 20th percentile is the 2th value in the given date that was arranged in ascending order which is 19

Therefore the 20th percentile is 19.

2. 25th PERCENTILE

25th PERCENTILE = (25/100) * 8

25th PERCENTILE= 2

To get the 25th percentile of 2 we would take the average of 2nd and 3rd value

25th PERCENTILE = (19 + 24)/2

25th PERCENTILE=43/2

25th PERCENTILE= 21.5

Therefore the 25th percentile is 21.5

3. 65th PERCENTILE

65th PERCENTILE = (65/100) * 8

65th PERCENTILE= 5.2

65th PERCENTILE= 6 (rounded up to the nearest integer)

The 65th PERCENTILE is the 6th value which is 28

Therefore 65th percentile is 28

4. 75th PERCENTILE

75th PERCENTILE = (75/100) * 8

75th PERCENTILE = 6

To get the 75th PERCENTILE of 6 we would take the average of 6th and 7th value

75th PERCENTILE = (28+30) / 2

75th PERCENTILE =58/2

75th PERCENTILE = 29

Therefore the 75th percentile is 30

Therefore the 20th, 25th, 65th, and 75th percentiles are:

20th percentile = 19

25th percentile = 21.5

65th percentile = 28

75th percentile = 30

The ratio using a colon is
82 and 23. Plzz. Help

Answers

82;23


I believe that it is that or 23;82

Which pair of expressions is not equivalent? A 3(2a + 5) and 6a + 15 B. 4x – 7 + 5x + 5 and 9x + 12 0. C. 80 - 6) and 8j – 48 D. 9b + 4 + 3b - 9 and 12b - 5​

Answers

Answer:

The correct answer is B.) (4x - 7 + 5x + 5) and (9x + 12).

Answer please I need this quick !!!!

Answers

Answer:

f(0)=2

Step-by-step explanation:

Since x = 0, the function should look like this, f(0) = 2 - 3(0) by plugging in the x.

The next step is simply to get the solution, which should be 2.

Which of the following polynomials have degree 5?

Answers

Answer:

lll

Step-by-step explanation:

*dab

it feels good to know the answer

||| ayooo yessirrrr

In the triangle below, with right angle ZE, suppose that m ZD= (3x+38) and mZF=(4x+3)°.
Find the degree measure of each angle in the triangle.
HURRY PLSSS

Answers

Answer:

[tex]for \: a \: right \: angled \: triangle \\ (3x + 38) + (4x + 3) + 90 = 180 \\ (4 + 3)x = 180 - (90 + 38 + 3) \\ 7x = 49 \\ x = 7 \\ \\ mZD=(3x + 38) \\ = (3 \times 7) + 38\\ mZD = 59° \\ \\ mZF=(4x+3)° \\ = (4 \times 7) + 3 \\ mZF = 31°[/tex]

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