What is an equation of the line that passes through the points (4,−1) and (8, 5)? Put your answer in fully reduced form.
HELP PLS

Answers

Answer 1

Answer:

y=2/3x-7

Step-by-step explanation:

The slope intercept formula is

y=mx+b

(m) is the slope (rate of change)

(b) is the y intercept (where the line crosses the y axis [vertical])

We need to find the slope and the y intercept. First we will find the slope.

The formula for slope is y1-y2/x1-x2

In and ordered pair the first value is the (x) and the second is the (y).

(x, y)

We take the (y) of one of the given points and subtract the (y) of the second given point, then divide it by the (x) of one of the given points and the (x) of the other given point.

5-(-1)/8-4

Simplify.

5-(-1) =5+1= 6

8-4=4

6/4 Simplify

3/2 is our slope.

Now we apply out new slope into our y=mx+b

y=3/2x+b

Now we need to find the (b) which is the y intercept.

To do this we need to use one of our given points, you can choose either but for this I'll use (4, -1).

In this ordered pair 4 is the (x) and -1 is the (y)

So replace (y) with -1 and (x) with 4

-1=3/2(4)+b

Now solve as usual.

-1=6+b

subtract 6 from each side

-7=b

b=-7

Put our (m) and (b) into our formula.

y=2/3x-7 is our equation.


Related Questions

what's (-9n^6) (8n) equal?​

Answers

Answer:

skp

Step-by-step explanation:

Angad,malachy and Jim share £30 in A ratio 1:3:1 how much does each person get

Answers

Answer:

Angad=6

Malachay=3×6=18

Jim=6

Step-by-step explanation:

Angad,malachy and Jim share =£30 ratio =1:3:1

Let the part of the Angad=X

=3x

=X

So X+3x+X=30

5x=30

X=30/5

X=6

So part of Angad=6

Malachay=3×6=18

Jim=6

Step-by-step explanation:

A:M:J

1:3:1

let total amt be 5x

5x = 30

x = 6

thus, A get 6dollars , M get 18 and J 6

Topic: ratio and proportions

If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!

In the right ∆ABC, BL is an angle bisector. If LB = 1.2 in and LC = 0.6 in. Find:

- The distance from L to AB.

- m∠ABC

Answers

Answer:

Distance of L from AB = 0.6 in.

m∠ABC = 60°

Step-by-step explanation:

Given:

LB = 1.2 in

LC = 0.6 in

We have to find the distance of point L to AB or length of LD.

From right triangle ΔBCL,

Sin(∠LBC) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

                 = [tex]\frac{LC}{LB}[/tex]

                 = [tex]\frac{0.6}{1.2}[/tex]

                 = [tex]\frac{1}{2}[/tex]

m∠LBC = 30° [Since ∠LBC is an acute angle]

Since, ∠LBC ≅ ∠LBA

m∠LBA = 30°

Now from right triangle ΔLDC,

sin(∠LBA) = [tex]\frac{LD}{BL}[/tex]

sin(30)° = [tex]\frac{LD}{1.2}[/tex]

[tex]\frac{1}{2}=\frac{LD}{1.2}[/tex]

LD = 0.6

Therefore, Distance of point L from AB is 0.6 in.

m∠ABC = m∠ABL + m∠LBC

             = 30° + 30°

             = 60°

help meee will give brainlistq ( please i will do anything but ASAP) ​

Answers

Y=3/2x+7 this is in slope intercept form

Answer:

y = 7/5 x + 34/5

Step-by-step explanation:

8.55708 to the nearest cent

Answers

Answer:

the answer is 8.56

Step-by-step explanation:

Answer:

8.56

Step-by-step explanation:

if it is a 5 or higher you round it up

please help i don’t know how to do this

Answers

Answer:

1.) 25

2.)81

3.)49

Step-by-step explanation:

(I recommend getting a Texas instruments TI-84 you can just plug in the numbers and it does it for you :)

help please :(((aaaa

Answers

Answer:

i think its b

Step-by-step explanation:

Answer:

it for sure the second one

Step-by-step explanation:

Write a linear function f with f(5)=7 and F(-2)=0.

Answers

Answer:

f(x)=x+2

Step-by-step explanation:

Slope= (7-0)/(5-(-2)) = 7/7 = 1

Y-intercept= 2

substitute the slope, 1, for m and the y-intercept, 2, for b to get:

f(x)=x+2

hope this helps!

The linear function f with f(5)=7 and F(-2)=0 is f(x) = x + 2

f(5) = 7

This means when x = 5 , y = 7

(5, 7)

f(-2) = 0

(-2, 0)

This implies when x = -2 , y = 0

Using the linear function formula,

y = mx + b

where

m = slope

b = y-intercept

Therefore, the function can be represented as follows:

m = 0 - 7 / -2 - 5 = -7 / -7 = 1

Therefore,

y = x + b

0 = -2 + b

b = 2

The function in relation to x can be represented as follows:

f(x) = x + 2

read more: https://brainly.com/question/13578480?referrer=searchResults

Please help! I’ll give brainleist!

Answers

x and y are equal to 36.8
X and Y are 100% equal to 36.8

PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELP ME I BEGGING YOU PLZZZZZZZZZZZZZZZ HELP!!!! (55 POINTS)


1. Evaluate 8a - b if a = 10 and b = 6

74

38

1000

9000

2. Evaluate expression if a=3 and b=4 . 4b-5a

2

1

-8

8

3. Evaluate Expressions a=3 b=4, 7a + 8b x 2

110

100

80

85

4.Strawberries are $1.95 a pound. Write an expression for p pounds of strawberries.

$1.95+p

$1.95-p

$1.95/p

$1.95p

5. Kenneth has g gumballs. Maggie has 29 fewer gumballs than Kenneth. Choose the expression that shows how many gumballs Maggie has.

g+29

29g

g-29

g ÷ 29

6) 5 + 36 ÷ 2 x 3 - 4

7

55

12

78

7)18 + (6 – 2) × 2

26

29

40

44

8.Expand -3( 2r + 5s).

-6r - 15s

-6r + 15s

-6r - 15

-6r + 2s

9. Expand and simplify 5(2 - 3y)

10 - 15y

10 + 15y

10 - 2y

10 - 3y

10.Factor: 7x + 49y

7(x + 7y)

7(x + y)

can't be factored

7(x + 48y)


11. Factor 6p − 36

6(p − 6)

2(3p − 36)

3(2p − 6)

can't be factored

12. Which expression contains exactly 3 terms?

A. 5 + 6xy

B. 8 + 2y - 5x

C. 9 + 4t

D. 24xy

13. What is the coefficient of x?8 + 5x - y

A. 8

B. 0

C. 5

D. -5

14. Identify the "like terms" in the expression: 2x + 4y - 3x + y - x

A. 2x and 4y and -3x

B. 2x and -3x and x; 4y and y

C. they are all like terms

D. there are no like terms


15. Factor 5x − 25

Answers

Answer:

1. 74 because 8(10) - 6

2.4(4) - 5(3) = 1

3. 7(3)+8(4) * 2 = 106

4. A

5.a

6. 20.5

7.26

8.a

9.a

10a

Step-by-step explanation:

What fraction is equivalent to 2 on this number line?

Answers

Answer:

2/1

Step-by-step explanation:

You can even check by doing 2 divided 1.

Hope this helps!!

2/1 I know there’s already an answer but

Find two consecutive whole numbers that 105 lies between.
____ and ____
whoever gets this correct will get marked brainliest!

Answers

Answer:

The answer is 10 and 11. :) (If that was not the answer you were looking for than I say maybe 104 and 106)

Step-by-step explanation:

First, calculate the square root of 105. It is roughly 10.24695. Then, find out what two whole numbers that number lies between.

Answer:

74,,76

Step-by-step explanation:

x+x+2=150

2x+2=150

2x=150_2

2x=148

2x/2=148/2

x=74

x+2=76 74+76=150

f-4=6f + 26 what is f

Answers

Answer:

the answer is f=-6

Answer:

f = - 6  

Step-by-step explanation:

Step 1:

f - 4 = 6f + 26          Equation

Step 2:

- 4 = 5f + 26        Subtract f on both sides

Step 3:

- 30 = 5f       Subtract 26 on both sides

Step 4:

f = - 30 ÷ 5       Divide

Answer:

f = - 6      

Hope This Helps :)

what is the answer to this (-¾)(½)(-⅔) = in simplest form please answer ASAP

Answers

Answer:

1/4

Step-by-step explanation:

cross both 3s and 2s. 1/4 is left.also -×- =+. so it's +1/4

Michael fills 1/3 of one trash barrel with 1/9 of the leaves he has raked in his yard.
How many trash barrels must he fill to pick up all of the leaves ?

Answers

Answer:

he will need 3 barrels.

BRAINLY PLS HELP ME OUT ASP ! NOW PLS !

Answers

Answer:

_

[tex] - \sqrt{10} \\ \sqrt{10 \\ } [/tex]

A and D

Answer:

(-[tex]\sqrt{10}[/tex]) and ([tex]\sqrt{10}[/tex]) are both solutions

Step-by-step explanation:

If you plug in (-[tex]\sqrt{10}[/tex]) for x, you get [tex](-\sqrt{10})^{2}[/tex] which is equal to 10

Also, when you plug in ([tex]\sqrt{10}[/tex]) for x, you get [tex](\sqrt{10} )^{2}[/tex] which is equal to 10

How to Rewrite 8 + 36 as a product of their GCF and the sum of two factors

Answers

Answer:

4 (2 + 9)

Step-by-step explanation:

  Given expression:

              8 + 36

The greatest common factor is the highest number that divides a number:

8 and 36 ;

  Factors of 8 : 1,2,4, 8

                  36 : 1, 2, 3, 4, 9, 18, 36

The highest common factor is 4;

  8 + 36  = 4 (2 + 9)

find x and y
x=_____
y=_____​

Answers

x=12 and y=5
triangle ANE measurements are just 2 times the measurements of TLC

Calculate the SPEED of a
sprinter who ran 200 meters
in 20 seconds.

Answers

Speed = distance / time

Speed = 200 meters / 20 seconds

Speed = 10 meters / second

1 meter per second = 3.6 km per hour

10 meters per second x 3.6 = 36 km per hour

Answer: 36 kilometers per hour

Step-by-step explanation: Average speed = total distance / total time.

Nikki just graduated from high school and would like to buy a car. If she received $3000 in graduation gifts from family friends. She will put this money into a 18 month certificate of deposit until she finds the car of her dreams. The CD earned 10% annually and simple interest. How much will she put towards the down payment and 18 months 1.5 years?

Answers

Answer:

$3450

Step-by-step explanation:

Here, P = $3000, N = 1.5 years, R = 10%

[tex]SI = \frac{PNR}{100} \\ \\ SI = \frac{3000 \times 1.5 \times 10}{100} \\ \\ SI = 450 \\ \\ [/tex]

Amount of down payment

= $3000 + $450

= $3450

Three times the difference of a number and 5 is the same as twice the number, decreased by 3. Find the number

Answers

Answer:

x = 12

Step-by-step explanation:

3 (x-5) = 2x - 3

3x -15 = 2x - 3

x-15 = -3

x = 12

check:

21 = 21

The number as decribed (Three times the difference of a number and 5 is the same as twice the number, decreased by 3) in the question is; 12

According to the question;

Three times the difference of a number and 5 is the same as twice the number, decreased by 3.

The word problem can be written and solved as follows;

3(x - 5) = 2x -3

3x -15 = 2x -3

3x -2x = 15 -3

x = 12

Read more:

https://brainly.com/question/1640242

i need help again sorry

Answers

Answer:

I want say it is C just by how close in proximity it is to E

Step-by-step explanation:

can someone help me with this

Answers

Answer:

The first one is 45 hours

The second is 1361

Answers
25.45
26.1361

Solve for h. -98 = -7h h =

Answers

Answer:

14

Step-by-step explanation:

[tex] - 98 = - 7h \\ \\ - 98 \div - 7 = h \\ \\ 14 = h[/tex]

Lucy owns a bakery. She has 2 cakes baked and can bake 4 cakes every
hour. Write an equation for the number of cakes baked, c, in h, hours. *


equation?

Answers

Answer:

c=4h+2

Step-by-step explanation:

you start of with 2 cakes and every hour you can bake 4

what is the answer for -5x-8=3x+10

Answers

Answer:

x=− 9 /4

​or  

=−2.250

Step-by-step explanation:

The point (-3, -5) is on the graph of a function. Which equation must be true regarding the function?
SAAB
Of(-3) = -5
f(-3,-5) = 8
f(-5) = -3
O f(-5, -3) = -2

Answers

Answer:

F(-3) = -5

Step-by-step explanation:

I got it right on the test

A house costs $18,000, which is 9/10 the cost of a car. A motorcycle costs 1/5 the cost of the car, or 4/5 the cost of 100 cards. How much is the cost of 30 cards?
PLZ PLZ PLZ PLZ PLZ HELP!!!!!!!!!!!!!

Answers

$6750
The ratio of the cards is 4:5, or 18000:22500
22500/100 is 225
225 times 30 is 6750

I will mark the brainiest! Please, and thanks! :)
(For the second one, just put it down on a piece of paper and upload a pic)

Answers

The best thing is to have a ruler with the appropriate units to construct these triangles;)

Clara lends half her collection of formal attires to her sister, Susan. Clara then buys
four more attires. If she has 12 attires now, how many attires did Clara had initially?

Answers

Answer:

clara had 16 but she gave half that leaves us with 8 + 4 gives u 12

x

2

+ 4 = 12 ; 16 attires  

Answer:

16

Step-by-step explanation:

a:2+4 =12

a:2=12-4

a:2=8

a=8 ×2

a=16 dresses

Step-by-step explanation:

brainliest would be super appreciated

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