Mathematics High School

WILL PAY 40 POINTS AND BRAINLIEST!!!!
A line goes through the points (-3 1) and (-2 4)
(a) What is the slope of the line? Show your work.
(b) Write the equation of the line in point-slope form. Show your work.
(c) Write the equation of the line in slope-intercept form. Show your work.

Answers

Answer 1

Answer:

Part A)

The slope is 3.

Part B)

[tex]\displaystyle y-1=3(x+3)[/tex]

Part C)

[tex]\displaystyle y=3x+10[/tex]

Step-by-step explanation:

We know that the line goes through the points (-3, 1) and (-2, 4).

Part A)

To find the slope of a line given two points, we can use the slope formula:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Where (x₁, y₁) and (x₂, y₂) are our two points.

So, let’s let (-3, 1) be (x₁, y₁) and let (-2, 4) be (x₂, y₂). Substitute appropriately:

[tex]\displaystyle m=\frac{4-1}{-2-(-3)}[/tex]

Evaluate:

[tex]\displaystyle m=\frac{3}{-2+3}=\frac{3}{1}=3[/tex]

Hence, the slope of our line is 3.

Part B)

Point-slope form is given by:

[tex]\displaystyle y-y_1=m(x-x_1)[/tex]

Where m is our slope and (x₁, y₁) is a point.

So, let’s substitute 3 for m.

For our point, we can use either of the two given. Let’s use (-3, 1) for consistency. So, let (-3, 1) be (x₁, y₁). Therefore:

[tex]\displaystyle y-1=3(x-(-3))[/tex]

Simplify. Hence, our point-slope form is:

[tex]\displaystyle y-1=3(x+3)[/tex]

Part C)

To rewrite into slope-intercept form, we can just solve for y from our point-slope form. So, we have:

[tex]\displaystyle y-1=3(x+3)[/tex]

Distribute on the right:

[tex]\displaystyle y-1=3x+9[/tex]

Add 1 to boths sides. So, our slope-intercept equation is:

[tex]\displaystyle y=3x+10[/tex]

Related Questions

Divide
(x^5+32) divide by (x+2)

help me solve this
marked as brainless if correct

Answers

Answer:

Use synthetic division to solve

Step-by-step explanation:

When dividing a polynomial by a zero, you first want to find the zero to divide by. Solving the zero (x+2) will give us the value of x to divide by. Subtracting 2 from each side gives us x=-2. Then, we write out the full polynomial. Since the only degrees that have numerical values are x^5 and 32, we substitute zero for the values in between (0x^4, 0x^3, 0x^2, and 0x). Then we follow the steps of synthetic division (as seen in the photo) to find our new values for our new equation.

HELPPP!!
The equation of the line in slope-Intercept form is

Answers

Answer:

Step-by-step explanation:

Slope intercept form is y = mx + b

b is the y intercept

m is the slope

the y intercept is 40

y = mx + 40

the slope is -1

y = -1x + 40

Line segment NY has endpoints N(-11, 5) and Y(5, -7). What is the equation of the perpendicular bisector of NY?

Answers

Answer:

9/6

Step-by-step explanation:

I think this is what you're looking for...

Answer:1.

5

x

−

2

y

=

4

; (−1, 1)

2.

3

x

−

4

y

=

10

; (2, −1)

3.

−

3

x

+

y

=

−

6

; (4, 6)

4.

−

8

x

−

y

=

24

; (−2, −3)

5.

−

x

+

y

=

−

7

; (5, −2)

6.

9

x

−

3

y

=

6

; (0, −2)

7.

1

2

x

+

1

3

y

=

−

1

6

; (1, −2)

8.

3

4

x

−

1

2

y

=

−

1

; (2, 1)

9.

4

x

−

3

y

=

1

;

(

1

2

,

1

3

)

10.

−

10

x

+

2

y

=

−

9

5

;

(

1

5

,

1

10

)

11.

y

=

1

3

x

+

3

; (6, 3)

12.

y

=

−

4

x

+

1

; (−2, 9)

13.

y

=

2

3

x

−

3

; (0, −3)

14.

y

=

−

5

8

x

+

1

; (8, −5)

15.

y

=

−

1

2

x

+

3

4

;

(

−

1

2

,

1

)

16.

y

=

−

1

3

x

−

1

2

;

(

1

2

,

−

2

3

)

17.

y

=

2

; (−3, 2)

18.

y

=

4

; (4, −4)

19.

x

=

3

; (3, −3)

20.

x

=

0

; (1, 0)

Find the ordered pair solutions given the set of x-values.

21.

y

=

−

2

x

+

4

; {−2, 0, 2}

22.

y

=

1

2

x

−

3

; {−4, 0, 4}

23.

y

=

−

3

4

x

+

1

2

; {−2, 0, 2}

24.

y

=

−

3

x

+

1

; {−1/2, 0, 1/2}

25.

y

=

−

4

; {−3, 0, 3}

26.

y

=

1

2

x

+

3

4

; {−1/4, 0, 1/4}

27.

2

x

−

3

y

=

1

; {0, 1, 2}

28.

3

x

−

5

y

=

−

15

; {−5, 0, 5}

29.

–

x

+

y

=

3

; {−5, −1, 0}

30.

1

2

x

−

1

3

y

=

−

4

; {−4, −2, 0}

31.

3

5

x

+

1

10

y

=

2

; {−15, −10, −5}

32.

x

−

y

=

0

; {10, 20, 30}

Find the ordered pair solutions, given the set of y-values.

33.

y

=

1

2

x

−

1

; {−5, 0, 5}

34.

y

=

−

3

4

x

+

2

; {0, 2, 4}

35.

3

x

−

2

y

=

6

; {−3, −1, 0}

36.

−

x

+

3

y

=

4

; {−4, −2, 0}

37.

1

3

x

−

1

2

y

=

−

4

; {−1, 0, 1}

38.

3

5

x

+

1

10

y

=

2

; {−20, −10, −5}

Part B: Graphing Lines

Given the set of x-values {−2, −1, 0, 1, 2}, find the corresponding y-values and graph them.

39.

y

=

x

+

1

40.

y

=

−

x

+

1

41.

y

=

2

x

−

1

42.

y

=

−

3

x

+

2

43.

y

=

5

x

−

10

44.

5

x

+

y

=

15

45.

3

x

−

y

=

9

46.

6

x

−

3

y

=

9

47.

y

=

−

5

48.

y

=

3

Find at least five ordered pair solutions and graph.

49.

y

=

2

x

−

1

50.

y

=

−

5

x

+

3

51.

y

=

−

4

x

+

2

52.

y

=

10

x

−

20

53.

y

=

−

1

2

x

+

2

54.

y

=

1

3

x

−

1

55.

y

=

2

3

x

−

6

56.

y

=

−

2

3

x

+

2

57.

y

=

x

58.

y

=

−

x

59.

−

2

x

+

5

y

=

−

15

60.

x

+

5

y

=

5

61.

6

x

−

y

=

2

62.

4

x

+

y

=

12

63.

−

x

+

5

y

=

0

64.

x

+

2

y

=

0

65.

1

10

x

−

y

=

3

66.

3

2

x

+

5

y

=

30

Part C: Horizontal and Vertical Lines

Find at least five ordered pair solutions and graph them.

67.

y

=

4

68.

y

=

−

10

69.

x

=

4

70.

x

=

−

1

71.

y

=

0

72.

x

=

0

73.

y

=

3

4

74.

x

=

−

5

4

75. Graph the lines

y

=

−

4

and

x

=

2

on the same set of axes. Where do they intersect?

76. Graph the lines

y

=

5

and

x

=

−

5

on the same set of axes. Where do they intersect?

77. What is the equation that describes the x-axis?

78. What is the equation that describes the y-axis?

Part D: Mixed Practice

Graph by plotting points.

79.

y

=

−

3

5

x

+

6

80.

y

=

3

5

x

−

3

81.

y

=

−

3

82.

x

=

−

5

83.

3

x

−

2

y

=

6

84.

−

2

x

+

3

y

=

−

12

Step-by-step explanation:

a computer backs up 324 megabytes of data in 5 minutes. WRITE AN EQUATION that represents the number of megabytes, m, that can be backed up in (t) minutes.

Answers

Answer:

64.8 x t = m

Step-by-step explanation:

324 / 5 = 64.8       :64.8 megabytes are produced every 1 minute

64.8 x t = m  

The answer is 64.8xt

The first two steps in the derivation of the quadratic formula by completing the square are shown below.
Which answer choice shows the correct next step?
step 1: ax^2 + bx + c = 0
step 2: ax^2 + bx = -c
ax + b = -c/x

Answers

Answer:C

Step-by-step explanation:

The derivation of the quadratic function is true

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. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.

The roots of the quadratic equations are

x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )

where ( b² - 4ac ) is the discriminant

when ( b² - 4ac ) is positive, we get two real solutions

when discriminant is zero we get just one real solution (both answers are the same)

when discriminant is negative we get a pair of complex solutions

Given data ,

Let the quadratic equation be represented as A

Now , the value of A is

ax² + bx + c = 0

Step 1 :

ax² + bx + c = 0

Step 2 : Subtracting c on both sides , we get

ax² + bx = -c

Step 3 : Divide by x on both sides , we get

ax + b = -c/x

Hence , the steps are true in solving the quadratic equation

To learn more about quadratic equations click :

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Which one of these relationships is different than the other three? Explain how you know.


Answers

Answer:

I does not say.

Step-by-step explanation:

Find the product using distributive property 563x67

Answers

(563)(60+7)
(60×563)+(7×563)=37,721

please answer correctly

-6 - 2 (4x - 7) = -32

Answers

Answer:

x=5

Step-by-step explanation:

-6 - 2(4x - 7) = -32

Distribute -2

-6 - 8x +14 = 32

Combine Like Terms

-8x + 8 = -32

Subtract 8 from both sides

-8x = -40

Divide each side by -8

- x - = +

So the final answer would be:

x = 5

Diego measured the length of a pen to be 22 cm. The actual length of the pen is 23 cm. Which of these is closest to the percent error for Diego’s measurement. Explain your choice. [3 point]
4.3%
4.5%
95.7%
104.5%

Answers

Answer: its either a or b

Error is the difference between the actual length of an object and its measured length.

The closest to the percent error for Diego's measurement is 4.3%

Step 1: Find the error

Error = Actual length - Measured length

= 23cm - 22cm

= 1 cm

Step 2: Find the percent error

Formula = Error/ Actual length × 100

= 1 /23 × 10

= 4.35%

Therefore, the closest to the percent error for Diego's measurement is 4.3%

To learn more, visit the link below:

https://brainly.com/question/10501147

Which expressions are equivalent to (5.2) -3?


DRAG AND DROP THE EQUIVALENT EXPRESSIONS INTO THE BOX

Answers

Answer:

Hello, please include the image of what your question refers to so I can help you because I don't see any equivalent expressions listed

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 :)

Joe Howard earns an annual gross pay of $955,520 as a
professional baseball player. He is married with 4 dependents.
How much is withheld from his monthly paycheck for state
income tax?

Answers

Answer: 3924.25

Step-by-step explanation:

0.0150x1000=15

0.0300x2000=60

0.0450x2000=90

0.0500x938520=46926

Add the numbers

47091÷12=3924.25

Additional work:

955520-12000=943520-1000=942520-2000=940520-2000=938520

His monthly paycheck for state income tax is $19,906.65.

What is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For exmaple, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Annual Gross pay = 955520

He is married with 4 dependents.

So, every month he earn

= 955520/12

= 79,626.6

and, Also have 4 dependents

= 79,626.6 /4

= 19,906.65

Hence,  his monthly paycheck for state income tax is $19,906.65.

Learn more about unitary method here:

https://brainly.com/question/22056199

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Answer: Get ready....
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Answers

Answer:

really

Step-by-step explanation:

Find the solution to the system of equations.
3x + 2y - 4z= -7
x - 4y + 3z = 10
2x + 2y - 3z= -5

Answers

Answer: 3x + 2y - 4z= -7= -5/8

x - 4y + 3z = 10= 11

2x + 2y - 3z= -5= -2

Step-by-step explanation:

the answer is -5/8

i just took the quiz.

I’m going to be posting 3 more of these plz helpppp

Answers

Answer:

with what

Step-by-step explanation:

Cary is having a party and can only afford to spend no more than $40 on food. She wants to order at least 3 pizzas which cost $6 a pie, and at least 2 orders of wings that cost $8 per order. Select all the inequalities she would have to graph to determine how many pizzas and wings she could order. Let x stand for the number of pizzas and y stand for the number of wings.
y ≥ 2
x ≥ 3
3 x + 8 y ≤ 40
6 x + 8 y ≤ 40
x ≤ 3
y ≤ 2
((You can select more than one))

Answers

Answer:

A. B. and D.

Step-by-step explanation:

is 15(x+10) largger than 360

Answers

Answer:

No it's not

Step-by-step explanation:

15x+15 times 10

15x+150


Solve the system of equations below.
2x - y = 26
3x - 2y = 42

Here are the answer choices

A. (8,1)
B. (3,2)
C. (10,-6)

Answers

It’s would have to be b.

If y=15 when x=5, find y when x=7, given that y varies directly with x.

Answers

Answer:

when x = 7, y = 21

Step-by-step explanation:

This is about direct variation. If y varies directly with x, then there is a constant  factor of variation, k. The constant of variation can be found by ʸ⁄ₓ

k = ʸ⁄ₓ

k = ¹⁵⁄₅ = 3

Now that we have found k, we simply multiply x by it to find y (this is because y is directly proportional to x). We plug in our x = 7 to find y at this point.

y = 3x

y = 3(7)

y = 21

Noa buys 6 items that each cost $4.25 and 3 items that each cost $6.75. How much does Noa spend in total?
$20.25
$25.50
$38.25
$45.75

Answers

6(4.25) + 3(6.75) = 45.75

She spent $45.75 in total.
Noa spent $45.75 in total

A student's incorrect attempt to simplify the exponential expression is shown
mn" = (mn)?
What is his mistake?

Answers

Answer:

it is the second one I just had this question to lol.

How can we create equations in two variables to represent relationships between quantities

Answers

Answer:

Create equations in two or more variables to represent relationships between quantities (linear functions) Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.

Step-by-step explanation:

Place the following quadratic in vertex form and identify the vertex.
y = x^2 + 12x + 50

Answers

Answer:

89

Step-by-step explanation:

Y=x^2+12x+50
+36. +36
————————
y+36=(x+6)^2+50
y=(x+6)=+50
-36
————————
y=(x+6)^2+14

Q: What did the athlete order when he needed a huge helping
of mashed potatoes?
letters: p,r,p,o,r,n,t,o,i,a,o

Answers

Answer:

The answer is proportional

Step-by-step explanation:

We have Given the following letters; p, p, r, o, m, n, t, o, i. The athlete will order A portion of mashed potatoes.

What is the number pattern?

A number pattern is a pattern in a series of numbers that represents the common relationship between the numbers.

We have Given the following letters;

p, p, r, o, m, n, t, o, i

We have to unscramble the given letters and make the word that is used by the athlete in order when he needed a huge helping of mashed potatoes.

The word which is formed with the help of the given letters used by the athlete is a portion.

Hence, the athlete will order A portion of mashed potatoes.

Learn more about a number pattern:

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what is the perpendicular slope intercept form?​

Answers

Answer:

y = -1/2x + 2.5

Step-by-step explanation:

- slope of a perpendicular line is the negative reciprocal of the original slope (2 in this case) so y = -1/2 x + c

- to find c we substitute the values from the given point into the equation

(0) = -1/2*(5) + c

- rearrange and calculate and you'll get c = 5/2 or 2.5

- replace the value of c and now you've got y = -1/2x + 2.5

Two friends argue over who brushes their teeth more often. Who is more likely to brush both morning and evening? Assume all events are independent. Multiple choice answers in picture below

Answers

Answer:

d

Step-by-step explanation:

On a coordinate plane, a dashed straight line has a negative slope and goes through (0, 2) and (4, 0). Everything below and to the left of the line is shaded.
Which point is a solution to the linear inequality y < Negative one-halfx + 2?

(2, 3)
(2, 1)
(3, –2)
(–1, 3)
.

Answers

Answer:

C 3,-2

Step-by-step explanation:

Edg2020

Answer: C (3, -2)

Step-by-step explanation:

If fabric costs $4 a foot, which graph below shows this relationship?
A. Graph A
B. Graph B
C. Graph C
D. Graph D

Answers

Answer:

Graph A

Step-by-step explanation:

Answer:

A.)

Step-by-step explanation:

since here using for example just one foot is (1,4) add another (2,8) since you are doubleing the price. and the rest are just going in weird derections.


Annie bought a gym membership that cost $50 when she signed up and
then she paid $10 each time she visited. If "V" represents the number of
times Annie went to the gym before she canceled her membership, which
of the following expressions best shows the total amount the gym
membership cost her?*
10V - 50
50v + 10
50 - 10v
V + 50 + 10
50 +10v
50 + 10/v

Answers

Answer:

50+10v should be the right answer.

CAN SOMEONE PLS HELP 6TH GRADE MATH ILL GIVE BRAINLIEST

Answers

Answer:

14/100 and 7/50

Step-by-step explanation:

Basically you convert the decimal into a fraction, 14 percent is the same as 14/100 and if you simplify that then you get 7/50

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