Find the equation of line that passes through the points (2.0) and (4.6). Write the equation in slope-intercept form

Answers

Answer 1

Answer:

y = 3x - 6

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (2, 0) and (x₂, y₂ ) = (4, 6)

m = [tex]\frac{6-0}{4-2}[/tex] = [tex]\frac{6}{2}[/tex] = 3, then

y = 3x + c ← is the partial equation

To find c, substitute either of the 2 points into the partial equation

Using (2, 0 ) , then

0 = 6 + c ⇒ c = 0 - 6 = - 6

y = 3x - 6 ← equation of line


Related Questions

Part II. Find x.
Gx-56
x + 10
What kinds of angles are these?

Answers

Answer:They are corresponding angles

Have a great day!

Stay safe and healthy!

Happy holiday seasons!

May I please have brainliest?

the jayden family eats at a restaurant and their meal costs them 78.65. They have to pay a 6% sales tax, and they also want to leave a 20% tip. What is the total price of their meal?

Answers

Answer:

total price should be 100.04

Step-by-step explanation:

good luck!!

Solve number 3 please :)

Answers

Answer/Step-by-step explanation:

Function A has a rate of change of 10 and function B has a rate of change of 5, so function A has a greater rate of change.

y = mx + b

The slope also known as rate of change is represented as the variable m in y = mx + b. So whatever number replacing m is the rate of change. In this problem 10 is the slope or rate of change.

In a graph, rate of change is determined by the rate in which the output is increasing or decreasing compared to the increase or decrease of the input. In this graph for every 1x added 5y is decreased. So, the rate of change is 5.

ILL GIVE BRAINLIEST AND LOTS OF POINTS
Find the percent of increase

6. from 44 to 66 7. from 6 to 6.5


Find the percent decrease. Where necessary round to the nearest tenth of a percent

8. from 56 to 36 9. from 72 to 18

Answers

Answer:

6. 33% increase

Step-by-step explanation:

Equation of increase/decrease: (Final value-initial value)÷(Initial Value)

6. (66-44)÷(66)=0.33

-Multiply by 100 to get 33% increase

7. (6.5-6)÷(6)=0.083

-Round and multiply by 100 to get 8.0% increase

8. (56-36)÷(56)=0.357

Round and multiply by 100 to get 36% decrease

9. (72-18)÷72=0.75

Multiply by 100 to get 75% decrease

Answer:

from 44 to 66 7 from 6 to 6.5

1415.9090909091%

667 - 44

44

x 100% = 1415.9090909091%

8.3333333333%

6.5 - 6

6

x 100% = 8.3333333333%

i dont know the other one sorry :(

Please help me

if it’s blurry it should let you zoom in
i will mark brainly

Answers

Answer:

A. The y intercept the y coordinate when the line passes through the point that is on the y coordinate and the x is 0. In this context, the y intercept is 10.

B. The slope is the number of units the line goes up every number of units it goes to the right. This line goes up 50 every 20 units to the right so the slope is 50/20 which simplifies to 5/2

C. The equation is y = 5/2x + 10

What is the oblique asymptote of g(x)= x^2-3x-5/x+2?​

Answers

Answer:

excuse me these words are some other language

Answer:

It's y= x-5

Step-by-step explanation:

What is the perimeter of the shape below?

Answers

Answer:

what are the units?

Step-by-step explanation:

depends on the side of 1 square

if it is 1 unit, perimeter is 22 units

On a coordinate plane, an absolute value graph has a vertex at (negative 4, negative 10). Which equation represents the function graphed on the coordinate plane? g(x) = |x – 4| – 10 g(x) = |x + 4| – 10 g(x) = |x – 10| + 4 g(x) = |x + 10| – 4

Answers

Answer:

b or g(x) = |x + 4| – 10

Step-by-step explanation:

Answer:

B) g(x) = |x + 4| – 10

Hope This Helps!

When the sum of a number, n, and 6 is divided by 4 the
result is equal to 5. Set up and solve an equation to find
the value of n.

Answers

Answer:

n = 14

Step-by-step explanation:

(n + 6)4 = 5

1. multiply by 4

n + 6 = 20

2. substract 6

n = 14

The required value of n is 14 in the given sum.

What is algebra?

Algebra is the analysis of mathematical representations, while logic is the manipulation of those symbols.

We have been given that the sum of a number, n, and 6 is divided by 4 the result is equal to 5.

According to the given question, we can write the algebraic form would be as:

⇒ (n + 6)/4 = 5

Apply the cross-multiplication operation,

⇒ (n + 6) = 5 × 4

Apply the multiplication operation,

⇒ (n + 6) = 20

⇒ n = 20 - 6

Apply the subtraction operation,

⇒ n = 14

Therefore, the required value of n is 14.

To learn more about the Algebra link is given below.

brainly.com/question/953809

#SPJ2

what’s the code for this puzzle?

Answers

Answer:

1. f

2. n

3. n

4. f

5. f

6. f

7. n

8. f

The subject of the formula is y
y = x - 5
Rearrange the formula to make x the subject.

Answers

Answer: x=y+5

Step-by-step explanation:

Add 5 to both sides:

y+5=x-5+5

y+5=x

Answer:

x=y+5

Step-by-step explanation:

y=x-5

move 5 to the other side of the equation we sign changes

y+5=x

rearanging makes

x=y+5

What is the answer???

Answers

The answer would be y=1/2x+2

This is because the rise over run of the line is 1 over 2 which equals 1/2. The y intercept is positive 2 which is why we place that at the end of the equation.

Five less than eight times a number is equal to -1

Answers

Answer:

The algebraic expression is: [tex]8x-5=-1[/tex]

the number is: [tex]\mathbf{x=\frac{1}{2}}[/tex]

Step-by-step explanation:

Translating "Five less than eight times a number is equal to -1" into algebraic expression

Let the number = x

[tex]8x-5=-1[/tex]

Now solving the expression to find value of x

[tex]8x-5=-1\\Add\:5\:on\:both\:sides\\8x-5+5=-1+5\\8x=4\\x=\frac{4}{8}\\x=\frac{1}{2}[/tex]

So, the number is: [tex]\mathbf{x=\frac{1}{2}}[/tex]

Please help its almost due!!

Answers

Answer:

you have multiply 11 and 120

At Open Skate Night, admission is $3.75 with a membership card and $5.00 without a membership card. Skate rentals are $3.00. The Moores paid $6 more for skate rentals than the Cotters did. Together, the two families paid $42 for skate rentals. How many pairs of skates did the Moores rent? The Moores rented 9 pairs of skates.

Answers

Answer: 8 skates

Step-by-step explanation:

Given that:

Skate rental = $3

Let number of skates rented by cotters = x

Hence, amount paid by cotters = 3x

The Moores paid $6 more

Moores amount = 3x + 6

Combined amount paid = 42

3x + 3x + 6 = 42

6x + 6 = 42

6x = 42 - 6

6x = 36

x = 36 / 6

x = 6

Hence, amount spent by the Moore's:

3x + 6

3(6) + 6 = 18 + 6 = $24

Cost per skate rental = $3

Hence x number of skates rented by the Moore's = $24 / 3 = 8 skates

Carson invested $850 in an account paying an interest rate of 5.7% compounded
daily. Assuming no deposits or withdrawals are made, how much money, to the
nearest dollar, would be in the account after 6 years?

Answers

Answer:

$850×5.7/100=48.45

850+48.45=898.45

898

Answer: 1197

Step-by-step explanation:

Factorise fully 9x+15

Answers

Answer:

3(3x + 5)

Step-by-step explanation:

9x + 15

find a common factor, 3

3(3x + 5), this is the answer as u can't factorize anymore

Simplify:
5x - 6x- 8x + 7

Answers

Answer:

-9x+7

Step-by-step explanation:

Name any 2 supplementary angles that equal 180 degrees

Answers

Answer:

100 degrees and 80 degrees

Step-by-step explanation:

Supplementary angles are two angles that add up to 180 degrees when combined.

Answer:

angle B= 95

angle D= 85

Step-by-step explanation:

Kate and Nora each have a sum of money. The ratio of the amount of money Kate has to that of Nora is 3 : 5. After Nora gives $150 to Kate, the ratio of the amount of money Kate has to that of Nora becomes 7 : 9. Find the sum of money Kate had initially.

Answers

Answer:

900

Step-by-step explanation:

K N

3x 5x

3x+150:5x-150=7:9

3x+150/5x-150=7/9

9(3x+150)=7(5x-150)

27x+1350=35x-1050

27x-35x=-1050-1350

-8x=-2400

8x=2400

X=2400/8

X=300

Kate money 3x=3×300=900

Answer from abid58b

Help for weather science

Answers

a. land reduces wind power
It is A because it Acts like a bumpy surface

what did he do wrong

Answers

Answer:

He did nothing wrong in this problem.

Step-by-step explanation:

What decimal is equal to 6/20


O 0.2
O 0.3
O 0.6
O 0.8

Answers

the answer is 0.3 :)................
0.3....................

Pls help pls
10 POINTS pls

Answers

Answer:the answerrr is 55tktktng

Step-by-step explanation:

Answer:

f(x)=-2x-5

f= -2 (-6) -5

f= 12-5

f= 7 so the answer is A

the answer is C, y= -200x +6000

toni can carry up to 15 lbs in her backpack. her lunch weights 1 lb, her gym clothes weight 2 lb, and her books (b) weight 3 lb each. How many books can she carry in her backpack?​

Answers

Answer:

4 books

Step-by-step explanation:

15-3=12

12/3=4

For what value of k, the zeroes of x2 + kx + 12 will differ by 1?

Answers

Let a and b be the zeroes of x² + kx + 12 such that |a - b| = 1.

By the factor theorem, we can write the quadratic in terms of its zeroes as

x² + kx + 12 = (x - a) (x - b)

Expand the right side and equate the coefficients:

x² + kx + 12 = x² - (a + b) x + ab

Then

a + b = -k

ab = 12

The condition that |a - b| = 1 has two cases, so without loss of generality assume a > b, so that |a - b| = a - b.

Then if a - b = 1, we get b = a - 1. Substitute this into the equations above and solve for k :

a + (a - 1) = -k   →   2a = 1 - k   →   a = (1 - k)/2

a (a - 1) = 12   →   (1 - k)/2 • ((1 - k)/2 - 1) = 12

→   (1 - k)²/4 - (1 - k)/2 = 12

→   (1 - k)² - 2 (1 - k) = 48

→   (1 - 2k + k²) - 2 (1 - k) = 48

→   k² - 1 = 48

→   k² = 49

→   k = ± √(49) = ±7

ORDER FROM LEAST TO GREATEST PLEASE ANSWER AND HURRY 14POINTSS

Answers

Answer:

2.5, 2.75, 3.7, 4¾ (4.75), 5.5, 29/5 (5.8), 6, 21/4 (7)

Step-by-step explanation:

I converted the fractions into decimals to make it easier to order. Hope this helps.

Please help please help please help please help please help please help look at the thingy pls help

Answers

Answer:

The slopes of line segments AC and AD are same or constant i.e [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

We need to find slopes of AC and AD and tell if they are same or not.

The formula used to calculate slope is: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

Finding slope of AC

We have A=(3,2) and C=(0,1)

Finding slope using formula:

We have [tex]x_1=3, y_1=2, x_2=0,y_2=1[/tex]

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{1-2}{0-3}\\Slope=\frac{-1}{-3}\\Slope=\frac{1}{3}[/tex]

So, Slope of AC is [tex]\frac{1}{3}[/tex]

Finding slope of AD

We have A=(3,2) and C=(9,4)

Finding slope using formula:

We have [tex]x_1=3, y_1=2, x_2=9,y_2=4[/tex]

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{4-2}{9-3}\\Slope=\frac{2}{6}\\Slope=\frac{1}{3}[/tex]

So, Slope of AD is [tex]\frac{1}{3}[/tex]

So, the slopes of line segments AC and AD are same or constant i.e [tex]\frac{1}{3}[/tex]

3. Jackson answered 80o of the questions on his Science test correctly. Colton scored 10
out of 12. Who scored the highest score?

Answers

Answer:

i think they both scored the same

Answer:

Colton did.

Step-by-step explanation:

Jack's score was 80%.

Colton got a score of 83.33...

I got Colton's score by solving 10/12.

Let x= t+2 and y= t² Write an equation for y in terms of only X​

Answers

Answer:

[tex] y = {x}^{2} - 4x + 4[ /tex]

Step-by-step explanation:

[tex] x = t + 2 \\

\implies \: x - 2 = t....(1) \\

y = {t}^{2} ....(2) \\

plug \: t = x - 2 \: in \: equation \: (2) \\

y = {(x - 2)}^{2} \\

\red{ \bold{ y = {x}^{2} - 4x + 4}}[/tex]

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