Write the equation of the line in fully simplified slope-intercept form. ​

Write The Equation Of The Line In Fully Simplified Slope-intercept Form.

Answers

Answer 1

Answer:

 y = 4/3x - 3

Step-by-step explanation:

1. Find two pints on the line: ((3,1) and (6, 5).

2. Find the slope: Slope = (change in y-values)/(change in the x-values).

   Slope = (5 - 1)/(6 - 3) = 4/3

3. Use the slope and one point and substitute into y = mx + b to solve for "b"

     y = mx + b                 slope = 4/3   and point (3, 1)

      1 = 4/3(3) + b              4/3 · 3/1 =  12/3 = 4

      1 = 4 + b

      1 - 4 = b

       -3 = b

4.  Write the equation of the line: m = 4/3 and b = -3  Substitute into y = mx + b

      y = 4/3x - 3


Related Questions

A shop sells orange juice in the following ways:

500 ml bottle for £1.25
1.5 litre carton for £2.35 each or 2 cartons for £3.50
2 litre carton for £3.25

What's the cheapest way of buying exactly 8 litres with no extra?
Find the amount of each type of bottle or carton you need and the total cost of buying 8 litres

Answers

Answer:

1.

1.5 litre carton for $2.35 is the cheapest way since it's the cheapest out of all the other options.

2.

a. 1.25 / 0.5 = $2.50 per L

2.35 / 1.5 = $1.57 per L

3.25 / 2 = $1.63 per L

b. 2.50 x 8 = $20.00 per 8 L

1.57 x 8 = $12.56 per 8 L

1.63 x 8 = $13.04 per 8 L

Step-by-step explanation:

find unit rate (cost / quantity)

Which expression is equivalent to the given expression?

Answers

Step-by-step explanation:

16x²y⁵16x²y⁵ is the answer

Mark me BRAINLIEST pls!

If f(x) =x+1\x-1 and f(a) = 5 then f(2a) is equal to?

Answers

(2a) = 5*2 = 10
f(2a)= 10+1/10-1
=11/9

find the greatest common factor (GCF) OF each pair of number using continuous division


1.15 and 30

2.Cassandra is creating individual servings of dessert.She has 16 pili nut candies and 24 chocolates. If she wants each serving to be indentical with no food left over what is the greatest number of servings Cassandra can create.

Answers

Answer:

1. GCF is 15.

2. 8 servings

Step-by-step explanation:

1. Continuous Division              

            3     15         30

            5      5          10

                     1           2

Multiply the factors in the left side (3 and 5)

= 15

Greatest Common Factor is 15

2. Continuous Division

              2      16         24

              2      8           12

              2      4            6

                      2            3

Multiply the factors in the left side (2,2 and 2)

= 8

Greatest number of servings is 8

The area of rectangle ABCD is 28 cm^2

a) What is the length of side AB in terms of x?
b) If the area of rectangle ABCD is 28cm^2
we can show that x2 + ax=b
a and b are integer values.
Work out the values of a and b.

Answers

The length of AB is (x + 4) cm and the values of a and be are a = 10, b = 4

A rectangle is a quadrilateral in which opposite sides are equal and parallel to each other. The area of a rectangle is:

Area = length * width

From the image:

Length of AB = x + 4

Length of BC = x + 6

The area of rectangle ABCD = Length of AB * Length of BC

28 = (x + 4)(x + 6)

x² + 10x + 24 = 28

x² + 10x = 4

Comparing with x² + ax = b gives:

a = 10, b = 4

Therefore the length of AB is (x + 4) cm and the values of a and be are a = 10, b = 4

Find out more at: https://brainly.com/question/15019502

The length of AB is (x + 4) cm and the values of a and be are a = 10, b = 4

A rectangle is a quadrilateral in which opposite sides are equal and parallel to each other. The area of a rectangle is:

Area = length * width

From the image:

Length of AB = x + 4

Length of BC = x + 6

The area of rectangle ABCD = Length of AB * Length of BC

28 = (x + 4)(x + 6)

x² + 10x + 24 = 28

x² + 10x = 4

Comparing with x² + ax = b gives:

a = 10, b = 4

Therefore the length of AB is (x + 4) cm and the values of a and be are a = 10, b = 4

Sorry for the spam, I just really need help.

Answers

13 is C and 14 is b

Pls tell me the answer of this

Answers

Answer:

(C) 27

IS THE ANSWER....

What equation represents this sentence?

0.8 increased by a number is 4.5.


4.5 + n = 0.8

0.8n = 4.5

0.8 + n = 4.5

4.5n = 0.8

hurry ill give brainliest

Answers

Answer:

It is 0.8 + n = 4.5 that is the right answer

Answer: 0.8 plus n equals 4.5

Step-by-step explanation:

Identify what Number property is shown for each statement
1. Commutative property of multiplication
3. Associative property of Addition
4.Associative property of multiplication
5. Symmetric property
6. Reflexive property
7. Transitive property
8. Zero property of multiplication
9. multiplicative inverse
10. Zero property of multiplication
11. Additive identity
12. Multiplicative identity






A. 21=21

B. If k=15 and 5 = 3m. Then k = 3m

C. 7+4=4+7

D. 9x0=0

E. 4+0=4

F. (5x3)x4=5x(3x4)

G. 10x3=3x10

H. 19x1=19

I. 8x1/2=1

J. If 11 = y then y = 11

K. (6+2) + 1 = 6 + 2 + 1

L. 2+(2-)=0

Answers

1. Commutative property of multiplication = G. 10x3=3x10

3. Associative property of Addition = K. (6+2) + 1 = 6 + (2 + 1)

4. Associative property of multiplication = F. (5x3)x4=5x(3x4)

5. Symmetric property = J. If 11 = y then y = 11

6. Reflexive property = A. 21=21

7. Transitive property = B. If k=15 and 5 = 3m. Then k = 3m

8. Zero property of multiplication = D. 9x0=0

9. multiplicative inverse = I. 8x1/2=1

10. Zero property of multiplication = L. 2+(2-)=0

11. Additive identity = E. 4+0=4

12. Multiplicative identity = H. 19x1=19

Hope this helps!

Answer:

Step-by-step explanation:

G. 10x3=3x10     1. Commutative property of multiplication

3. Associative property of Addition

F. (5x3)x4=5x(3x4)     4.Associative property of multiplication

J. If 11 = y then y = 11      5. Symmetric property

A. 21=21       6. Reflexive property

7. Transitive property

8. Zero property of multiplication

9. multiplicative inverse

D. 9x0=0    10. Zero property of multiplication

E. 4+0=4     11. Additive identity

H. 19x1=19   12. Multiplicative identity

B. If k=15 and 5 = 3m. Then k = 3m    This statement is not true.

This may be the transitive property, but this was written incorrectly. You have 15 in k = 15, but 5 in 5 = 3m.

C. 7+4=4+7      This is commutative property of addition, which is not listed above

I. 8x1/2=1     This statement is false. Maybe you meant 8 x 1/8 = 1. Then it is 9. Multiplicative inverse.

K. (6+2) + 1 = 6 + 2 + 1 This does not illustrate anything.

Maybe you missed the parentheses on the right side: 6 + (2 + 1). Then it is the associative property of addition.

L. 2+(2-)=0 If this were 2 + (-2) = 0, then it would be Additive Inverse, but I don't see this listed above.

The (least common multiple, greatest common factor) of 5 and 10 is 5.

Answers

Answer:

the Greatest common factor is 5

20% tip on a bill of $22.41

Answers

Answer:

5 people - Tip  per person  = $0.90  

Total  per person =  $5.39

10 people - Tip  per person  = Tip  per person  $0.45

Total  per person =  $2.70

Answer: the answer is $4.49 because if your bill is 22.41 and you divide that by 20 its 4.482 so then you add the 2 to the 8 which is 9 so 4.49

Expand the function.
4
f(x)
=
(2x + 3)4

Answers

Answer:

16 x ^4  −  96 x^ 3  +  216 x ^2  −  216 x  +  81

Step-by-step explanation:

Use the binomial expansion theorem to find each term. ∑

∑The binomial theorem states ( a + b ) n = n ∑ k = 0 n C k ⋅ ( a n − k b k ) . 4 ∑ k = 0 4 ! ( 4 − k ) ! k ! ⋅ ( 2 x ) 4 − k ⋅ ( − 3 ) k

Expand the summation. 4 ! ( 4 − 0 ) ! 0 ! ⋅ ( 2 x ) 4 − 0 ⋅ ( − 3 ) 0 + 4 ! ( 4 − 1 ) ! 1 ! ⋅ ( 2 x ) 4 − 1 ⋅ ( − 3 ) + 4 ! ( 4 − 2 ) ! 2 ! ⋅ ( 2 x ) 4 − 2 ⋅ ( − 3 ) 2 + 4 ! ( 4 − 3 ) ! 3 ! ⋅ ( 2 x ) 4 − 3 ⋅ ( − 3 ) 3 + 4 ! ( 4 − 4 ) ! 4 ! ⋅ ( 2 x ) 4 − 4 ⋅ ( − 3 ) 4

Simplify the exponents for each term of the expansion. 1 ⋅ ( 2 x ) 4 ⋅ ( − 3 ) 0 + 4 ⋅ ( 2 x ) 3 ⋅ ( − 3 ) + 6 ⋅ ( 2 x ) 2 ⋅ ( − 3 ) 2 + 4 ⋅ ( 2 x ) ⋅ ( − 3 ) 3 + 1 ⋅ ( 2 x ) 0 ⋅ ( − 3 ) 4

Simplify each term.

= 16 x ^4  −  96 x^ 3  +  216 x ^2  −  216 x  +  81

Which expression is equivalent to (-x-16)



-x-16?
X-+16
-X+16
X-16

Answers

Answer:

- x - 16

Step-by-step explanation:

-x-16

Once you get rid of the parenthisis its the same equation.

The function P(h) = 21h represents the total salary at a rate of $21 per
hour, P. as a function of the number of hours worked, h.
Find the total salary, when the number of hours worked is 34.

Answers

Replace h with 34:

p(h) = 21(34)

Multiply :

21x 34 = 714

Answer: $714

if i can get 4 tastykake snack cakes. 4 for $5.00 how much would it be if i get 2 tastykake snack cakes?

Answers

Answer:

2.50

Step-by-step explanation:

If 4= $5.00

then divided 5.00 by 4=1.25

so 1 = 1.25

1.25x2=2.50

Therefore 2 tastykake snack cakes = $2.50

Answer:

The answer is 2.5

Step-by-step explanation:

5 divided by 4 = 1.25

1.25 times 2 = 2.5

brainliest :)

Adam bought 6 dozen balloons and filled them all with air. The air cost him
$.25 each balloon to have filled. Then he divided the balloons between 12 children.
How much did he spend total on the air for the balloons?

Answers

Answer:

Adam spent in total 288

Compound $35.000 is invested at 5% compound interest. What is the interest at the end of three years?​

Answers

Answer:

$40,516.86

Step-by-step explanation:

start by taking 35,000 and multiplying it by 0.05 to get 5% of the number. then add that number (1,750) to the original 35,000 and you should get 36,750. this would be the first year. Then multiply 36,750 by 0.05 again and add that number (1837.5) to the original 36,750 and you should get 38,587.5. Finally multiply that by 0.05 and add that number (1,929.375) to the original 38,587.5 and you should get 40516.875. Round to the hundredths since it is money.

Answer:

A = $40,516.88

Step-by-step explanation:

Assuming that interest is compounded annually:

The AMOUNT will be A = P(1 + r)^2, which here is

                                    A = $35,000(1 + 0.05)^3, or

                                     A = $40,516.88

Helppppp I neeeed it!!!!!!

Answers

2
Ht + 16t -80t -384 = 0

So, yes the rocket hits the ground.

pls answer 4th and 5th question . i do not understand

Answers

Step-by-step explanation:

4) total length of the journey is

1st hr = 74km 224m = 74224m

2nd hr = 74km 224m = 74224m

3rd hr = 58km 56m = 58056m

4th hr = 62km 8m = 62008 m

total distance (adding all) = 268512m = 268km 512m .

5) total weight = 22kg 200g = 22200g

mangoes weight = 14kg 750g = 14750g

apples weight = 5kg 80g = 5080g

total weight - fruits weight

(22200-14750-5080)g

= 2370g

= 2kg 370g.

hope this helps you.

If you can wash seven cars in three hours how many cars can you wash in eight hours

Answers

7/3=x/8

7/3 x 8 = x

18.7=x

Hence you can wash 18.7 cars, which does make sense because you can leave cars Half unwashed, hope this helps :)

Dr. Smith purchased a used car for $11,325. Her state charges 8% tax for the car, $53 for the license plates, and $40 for a state safety and emissions inspection. How does she need to play for these extra charges, not including the price of the car?

Answers

Answer:

999

Step-by-step explanation:

8% of 11,325 is 906

53 plus 40 is 93

906 plus 93 is 999

plz help will mark as brainliest​

Answers

Answer:

so the answer is = 210 beacuse  u have multiply 5 times 6 times 7

Step-by-step explanation:

So, the area A of a triangle is given by the formula A=12bh where b is the base and h is the height of the triangle. Example: Find the area of the triangle. The area A of a triangle is given by the formula A=12bh where b is the base and h is the height of the triangle.

Solve the angles of this parallelogram

Answers

[tex]6x + 2 + 14x + 2y + 15y + 10 + 6x + 12y = 360° \\ 26x + 29y + 12 = 360° \\ 26x + 29y = 360 - 12 \\ 26x + 29y = 348 \\ 26x + y = \frac{348}{29} \\ 26x + y = 12 \\ x + y = 312[/tex]

Determine the equation of the circle graphed below

Answers

Answer:

(x-3)^2+(y-5)^2=3^2

Step-by-step explanation:

Demonstrate your knowledge by giving clear, concise solutions to each problem. Be sure to include all relevant drawings and justify your answers (show all your work). You may show your solution in more than one way to investigate beyond the requirements of the problem. 1. Some important formulas are given below Area of a circle is A=πR^2 where r is the radius of the circle.
A)Write a formula for the area of the figure below. (5pts)

Answers

Answer:

A = 8a + [tex]\frac{1}{2}[/tex]πa²

Step-by-step explanation:

The figure consists of a rectangle and a semi- circle

area of rectangle = 4 × 2a = 8a

area of semi- circle = [tex]\frac{1}{2}[/tex]πr² ( r is the radius = a )

                                = [tex]\frac{1}{2}[/tex]πa²

Then area (A ) of figure is

A = 8a + [tex]\frac{1}{2}[/tex]πa² ← factor out [tex]\frac{1}{2}[/tex] a from each term

   = [tex]\frac{1}{2}[/tex] a(16 + aπ)

The equation Y-5 = 6(x+1) is written in point-slope form. What is the equation written in slope-intercept form?
O y = 6x + 11
O y = 6x - 1
O y = 6x - 4
O y = 6x + 6.

Answers

Answer:

Option A: y = 6x + 11

Step-by-step explanation:

Given the linear equation in point-slope form, y - 5 = 6(x + 1), and that we must determine its equivalent slope-intercept form, y = mx + b:

First, we must distribute 6 into the parenthesis on the right-hand side of the equation:

y - 5 = 6(x + 1)

y - 5 = 6x + 6

Lastly, we must add 5 to both sides of the equation to isolate y:

y - 5 + 5 = 6x + 6 + 5

y = 6x + 11

Therefore, the slope-intercept form is: y = 6x + 11, which matches Option A.

write the equation of a line that passes through the points (5, -7) and is perpendicular to the line -2x + 6y = -4

Answers

Answer:

y= -3x + 8

Step-by-step explanation:

Put -2x + 6y = -4 into slope-interceltp form

Take the negative reciprocal of the slope.

Use this reciprocal in point-slope form

and you have,

= y= -3x + 8

(EDITED) Steps:

2x+6y = -4

6y=2x - 4

y= 1/3x + 2/3

if two lines are perpendicular,

m1 * m2 + -1

1/3 * m2 = -1

m2 = -3

the line perpendicular to this line is

y = -3x + k ; k ∈ R

the line passes through the point (5,-7)

so,

-7 = -3. (5) +k

-7 = -15 + k

k = 8

∴the equation of a line that passes through the point (5,-7) and is perpendicular to the line -2x+6y=-4 is

y= -3x + 8

Hope this helps, have a nice day/night! :D

What is the cube root of 8x27?

Answers

Answer:

6

Step-by-step explanation:

this is so simple brother

Answer:

The cube root of 8x27 is 54

Step-by-step explanation:

Observe the following pattern (1×2)+(2×3)=2×3×43, (1×2)+(2×3)+(3×4)=3×4×53, (1×2)+(2×3)+(3×4)+(4×5)=4×5×63 and find the value of  (1×2)+(2×3)+(3×4)+(4×5)+(5×6)

Find the value of f.

Answers

Answer:

f =18

Step-by-step explanation:

The sum of the angles of a triangles is 180

3f+6f+f = 180

10f = 180

Divide by 10

10f/10=180/10

f = 18

clara has a positive acceleration for 5 minutes

Answers

Answer:

The answer is C.

Step-by-step explanation:

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