Aline crosses the coordinates (-4,4) and (2.-5). What is the slope
of the line?

Answers

Answer 1

Answer:

Step-by-step explanation:

Use the slope formula:

[tex]m = \frac{y2 -y1}{x2 - x1}[/tex]

where m = slope

Given the coordinates

(-4, 4) ---> this means x1 = -4 , y1 = 4

(2, -5) ---> this means x2 = 2 , y2 = -5

Substitute these values into the slope formula:

[tex]m = \frac{y2 -y1}{x2 - x1}[/tex]

[tex]m = \frac{-5 -4}{2 - (-4)} = \frac{-9}{2+4} = \frac{-9}{6} = \frac{-3}{2}[/tex]

Answer 2

The slope of the line passing through the coordinates (-4, 4) and (2, -5) is - 3/2.

What are lines and their slopes?

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

The slope of the line passing coordinates (-4, 4) and (2, -5) can be obtained as we know slope is rise over run which is slope(m) = (y₂ - y₁)/(x₂ - x₁) = (-5 - 4)/(2 + 4) = -9/6 = - 3/2.

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Related Questions

14. Given the function f(x) = 3x -9, what is the value of f(6)?

Answers

Answer:

f(6) = 3(6) - 9

Step-by-step explanation:

y = 3(6) - 9

y = 18 - 9

y / f(x) = 9

HELP ASAP PLZZZZZ Which property is used in the first step to solve this equation?

4 (x minus 6) = 5. 4 x minus 24 = 5. 4 x = 29. x = StartFraction 29 Over 4 EndFraction

Answers

Answer:

Distributive Property

Step-by-step explanation:

4(x-6)=5.4x-24

4x-24=5.4x-24

A​ company's stock began the day at ​$36.66 per share. That price drops by ​$1.69 each hour.
a. What is the price per share after 6 ​hours?

Answers

Answer:

After 6 hours the price per share is $26.52

Step-by-step explanation:

You multiply 1.69 by how many hours which in your case is 6. This gives you $10.14. Then you subtract 36.66 by 10.14 and you get your answer.

Hope this helps!

To estimate the mean number of text messages sent by cell-phone users, a researcher chooses a location on a college campus in the city and surveys the first 50 people who walk past. These subjects are asked how many text messages they have sent in the past 24 hours. Is it likely that bias will be present in the sample?

A) Because this is a convenience sample, it is likely that the sample results will be unbiased.
B) Because this is a convenience sample of college students, it is likely that bias is present and that the results will overestimate the mean number of text messages sent.
C) Because this is a convenience sample of college students, it is likely that bias is present and that the results will underestimate the mean number of text messages sent.
D) Because this is a voluntary response sample of college students, it is likely that bias is present and that the results will overestimate the mean number of text messages sent.

Answers

Answer:

WARNING! C IS INCORRECT 2021.

MOST LIKELY (B): Because this is a convenience sample of college students, it is likely that bias is present and that the results will overestimate the mean number of text messages sent.

ED2021

need help answer quick ​

Answers

Answer:

number 10

k= 36

number 11

k=33

What is the probability that a randomly chosen exam score is above 300?

Answers

Answer:

I DONT KNOW SORRY DO YOU HAVE ANY OTHER QUESTIONS ON ANYTHING ELSE?

Step-by-step explanation:

Anything that’s higher than 300 because you said above which is positive.

which equation represents a linear function?

Answers

That would be y=x-3. The other answers are either parabolas or something else
the answer is y=x-3 because why not

Helppp I need to pass critical! Oh um will give brainliest if requested!

Answers

Answer:

Subtraction property of equality (a)

The answer is A because the subtraction property of equality tells us that if we subtract from one side of an equation, we also must subtract from the other side of the equation to keep the equation the same.

The seventh term of an arithmetic progression is equal to twice the fifth term. The sum
of the first seven terms is 84. Find the first term.

Answers

Answer:

a₁ = - 24

Step-by-step explanation:

The n th term of an AP is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₇ = 2a₅ , then

a₁ + 6d = 2(a₁ + 4d) = 2a₁ + 8d ( subtract 2a₁ + 8d from both sides )

- a₁ - 2d = 0 → (1)

The sum to n terms of an AP is

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]

Given [tex]S_{7}[/tex] = 84 , then

[tex]\frac{7}{2}[/tex] (2a₁ + 6d) = 84

3.5(2a₁ + 6d) = 84 ( divide both sides by 3.5 )

2a₁ + 6d = 24 → (2)

Thus we have 2 equations

- a₁ - 2d = 0 → (1)

2a₁ + 6d = 24 → (2)

Multiplying (1) by 3 and adding to (2) will eliminate d

- 3a₁ - 6d = 0 → (3)

Add (2) and (3) term by term to eliminate d

- a₁ = 24 ( multiply both sides by - 1 )

a₁ = - 24

what is the change between -15 and 11

Answers

the change is plus 4

find the distance between points (2, 9) and (5, 4) to the nearest tenth​

Answers

Answer:

[tex]Distance = 5.8[/tex]

Step-by-step explanation:

[tex]d=\sqrt{(4-9)^{2} } { (5-2)} ^{2} \\[/tex]

[tex]d = -5^{2} + 3^{2}[/tex]

[tex]d= 25 + 9[/tex]

[tex]d= \sqrt{34}[/tex]

[tex]distance = 5.8[/tex]

A hotel patron starts at the fifth floor and goes up seven floors to meet a friend. How many levels, and in which direction, must they take the elevator to get to Parking A? Express your answer in one or more complete sentences.

Answers

Answer:

they must go 12 floors downwards because parking A has to be on the last floor

Answer:

they other person is somewhat correct

Step-by-step explanation:

Somebody help ...............................

Answers

D is the correct answer

is 3.14 a terminating decimal ?​

Answers

Answer:

Yes, it is a terminating decimal.

Step-by-step explanation:

3.14 ends and it does not repeat. If it repeated, it would be a repeating decimal but since it does not, it is a terminating decimal.

the price for rosemary is 49 cents for 6 ounces. what is the price in dollars per pound?

Answers

16 ounces= 1 pound
16x.49= $7.84

Deductive reasoning uses all of the following except...
A. Laws
B. Patterns
C. Facts
D. Rules

Answers

B patterns is not applied


Work out the first four terms and the 10th term of the quadratic
sequence with
a T(n) = 2n2 + 4
b T(n) = 3n2-3
c T(n) = -3n2 + 7
d T(n) = 4n? -5

Answers

Answer:

a. The first four terms and the 10th term are 6, 12, 22, 36, ......., 204

b. The first four terms and the 10th term are 0, 9, 24, 45, ......., 297

c. The first four terms and the 10th term are 4, -5, -20, -41, ......., -293

d. The first four terms and the 10th term are -1, 11, 31, 59, ......., 395

Step-by-step explanation:

a.

T(n) = 2n² + 4 is the rule of the sequence, where

n is the position of the number in the sequence

∴ For the first term, n = 1

→ Substitute n by 1 in the rule above to find T(1)

∵ T(1) = 2(1)² + 4 = 2(1) + 4 = 2 + 4

T(1) = 6

→ For the second term, n = 2

∵ T(2) = 2(2)² + 4 = 2(4) + 4 = 8 + 4

T(2) = 12

→ For the third term, n = 3

∵ T(3) = 2(3)² + 4 = 2(9) + 4 = 18 + 4

T(3) = 22

→ For the fourth term, n = 4

∵ T(4) = 2(4)² + 4 = 2(16) + 4 = 32 + 4

T(4) = 36

→ For the tenth term, n = 10

∵ T(10) = 2(10)² + 4 = 2(100) + 4 = 200 + 4

T(10) = 204

The first four terms and the 10th term are 6, 12, 22, 36, ......., 204

b.

T(n) = 3n² - 3 is the rule of the sequence

→ For the first term, n = 1

∵ T(1) = 3(1)² - 3 = 3(1) - 3 = 3 - 3

T(1) = 0

→ For the second term, n = 2

∵ T(2) = 3(2)² - 3 = 3(4) - 3 = 12 - 3

T(2) = 9

→ For the third term, n = 3

∵ T(3) = 3(3)² - 3 = 3(9) - 3 = 27 - 3

T(3) = 24

→ For the fourth term, n = 4

∵ T(4) = 3(4)² - 3 = 3(16) - 3 = 48 - 3

T(4) = 45

→ For the tenth term, n = 10

∵ T(10) = 3(10)² - 3 = 3(100) - 3 = 300 - 3

T(10) = 297

The first four terms and the 10th term are 0, 9, 24, 45, ......., 297

c.

T(n) = -3n² + 7 is the rule of the sequence

→ For the first term, n = 1

∵ T(1) = -3(1)² + 7 = -3(1) + 7 = -3 + 7

T(1) = 4

→ For the second term, n = 2

∵ T(2) = -3(2)² + 7 = -3(4) + 7 = -12 + 7

T(2) = -5

→ For the third term, n = 3

∵ T(3) = -3(3)² + 7 = -3(9) + 7 = -27 + 7

T(3) = -20

→ For the fourth term, n = 4

∵ T(4) = -3(4)² +7 = -3(16) + 7 = -48 + 7

T(4) = -41

→ For the tenth term, n = 10

∵ T(10) = -3(10)² + 7 = -3(100) + 7 = -300 + 7

T(10) = -293

The first four terms and the 10th term are 4, -5, -20, -41, ......., -293

d.

T(n) = 4n² - 5 is the rule of the sequence

→ For the first term, n = 1

∵ T(1) = 4(1)² - 5 = 4(1) - 5 = 4 - 5

T(1) = -1

→ For the second term, n = 2

∵ T(2) = 4(2)² - 5 = 4(4) - 5 = 16 - 5

T(2) = 11

→ For the third term, n = 3

∵ T(3) = 4(3)² - 5 = 4(9) - 5 = 36 - 5

T(3) = 31

→ For the fourth term, n = 4

∵ T(4) = 4(4)² - 5 = 4(16) - 5 = 64 - 5

T(4) = 59

→ For the tenth term, n = 10

∵ T(10) = 4(10)² - 5 = 4(100) - 5 = 400 - 5

T(10) = 395

The first four terms and the 10th term are -1, 11, 31, 59, ......., 395

When I solve (1 + 5n^4 + n^2) + (8n^4 - 4 - n^2), is the answer -3 + 13n^4 + n^2 or just -3 + 13n^4

Answers

Answer:

Just -3 + 13n^4

Step-by-step explanation:

What does the graph of y = -4 look like?

Answers

it’s in the negative side the -4

What is the equation of the line that passes through the point (-8, 3) and has a
slope of -1/4

Answers

Answer:

-1/4x + 1 ( If this is wrong then ignore this)

Step-by-step explanation:

The formula for a problem like this is y - y1 = m(x - x1). The x coordinate, -8 is the x1 and the y coordinate 3 is x1. So the equation is y - 3 = -1/4(x + 8)

Equation:

y - 3 = -1/4(x + 8)

y - 3= -1/4x - 2

y = -1/4x + 1

Therefore the equation for the line is y = -1/4x + 1

Given parameters:

 Slope of the line  = [tex]-\frac{1}{4}[/tex]

 Coordinates of the points = (-8, 3)

Unknown:

Equation of the line = ?

Solution:

To find the equation of the line, we must note that any straight line can be represented by the equation;

        y  = mx + c

 where x and y are the coordinates

             m is the slope

              c is the y-intercept of the line

Input the parameters and solve for c;

     x = -8 and y  = 3;

         3  = [tex]-\frac{1}{4}[/tex] x (-8) + c

         3 = 2 + c

        c  = 1;

  So the equation of the line is ;

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

     multiply through by 4;

   4y = -x + 4

The equation of the line is 4y = -x + 4

If the area of a rectangle is 100, then the length is 25 and the width is 4

Answers

Answer:

Yes.

Step-by-step explanation:

since area is length x the width, so in this case it would be 25 x 4 = 100

Please help!!! will give brainliest

Answers

Answer:

Angle D

Step-by-step explanation:

If you flip the triangle upside down, Angle D should be in the same location as Angle A. Congruent triangles will have corresponding congruent angles.

Task: 4 2/3 yards = ? feet
whats the rule

Answers

Answer:

4 2/3 yards = 14 feet

Step-by-step explanation:

1 yard = 3 feet

Angle A and Angle B are supplementary. If Angle A has a measure of 100 degrees and Angle B has a measure of 7x, what is the value of x?

Answers

Answer:

x=11.429 (rounded) because a supplementary angle is equal to 180 degrees so 180-100=80. 80/7=11.429 (rounded).

Plz help me I’ll give brainliest

Answers

Answer: (below)

Step-by-step explanation:

y = 2x + 1

slope = 2

y-int = (0, 1)

y = 3x - 1

slope = 3

y-int = (0, -1)

y = 4x

slope = 4

y-int = (0, 0)

y = -3x - 1

slope = -3

y-int = (0, -1)

y = -x - 4

slope = -1

y-int = (0, -4)

y = (2/5)x - 1

slope = 2/5

y-int = (0, -1)

The difference of three times a number and 4 is 8. What is the value of n?
a. -1.3
C. 4
b. -4
d. 1.3

Answers

Answer:

It’s c

Step-by-step explanation:

I just did it in edg

Simplify 6(3a - 8b + 2)

Answers

6(3a-8b+2)
18a-48b+12

What is 0.362 rounded to the nearest tenth?

Answers

Answer:

0.4

Step-by-step explanation:

Answer:

0.4

Step-by-step explanation:

The tenths has 3, the hundredths has 6, and the thousandths has 2. The hundredth is greater than 5, so we have to round the tenths up by 1, making it 0.4

number of your answer choice and the answer itself.
2. The point (5,-9) is the image under the translation (x, y) = (x + 4, y - 2). What is the pre-image?
1) (9,-11)
2) (1, -7)
3) (1, -11)
4) (20, 18)
+ Ac
Pear Deck Interactive Slide
Students, write your response!

Answers

Answer:

Answer: (1,-7)

Step-by-step explanation:

since the translation is under (x + 4, y - 2)

the symbols (+ and -) would change so the translation to use would be

(x - 4, y + 2)

so you plug in (5, -9) to the new translation and you get your answer which is (1,-7)

HELP!!
Given h(x) = 4x – 1, solve for x when h(x) = -9.

Answers

Answer:

-2

Given:

h(x) = -9

Step-by-step explanation:

h(x) = 4x - 1

-9 = 4x - 1

-9 + 1 = 4x

-8 = 4x

-8/4 = x

x = -2

hope you understood❤

The solution for x when h(x) = -9 is -2

What is a linear equation?

A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form Ax + B = 0. A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively

Given;

h(x) = 4x – 1...(1)

h(x) = -9

Substituting the value of h(x) in equation 1

-9=4x-1

-9+1=4x

-8=4x

x=-8/4

x=-2

Therefore, the solution for the equation will be x=-2

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