what is the slope that passes through the points : (-2,9) and (4,-7)

Answers

Answer 1

Use the slope formula below:

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

The m-term represents the slope.

The formula is the changes of two y-points over the changes of two x-points. We are given two points. Substitute both points in the formula.

[tex] \large{m = \frac{9 - ( - 7)}{ - 2 - 4} } \\ \large{m = \frac{9 + 7}{ - 6} \longrightarrow \frac{16}{ - 6} } \\ \large{m = \frac{8}{ -3 } \longrightarrow - \frac{8}{3} }[/tex]

Therefore the slope is -8/3

Answer

the slope is -8/3

Hope this helps! Let me know if you have any doubts.

Answer 2

Answer:

y = -8 / 3x + 11/3

Step-by-step explanation:

Using the slope formula:

[tex]slope = y = \frac{(y_{2}-y_{1})}{(x_{2}-x_{1})}[/tex]

1. Select one point to be [tex](x_{1} ,y_{1} )[/tex] and the other [tex](x_{2} ,y_{2} )[/tex]

I chose (-2, 9) to be [tex](x_{1} ,y_{1} )[/tex] and (4, -7) to be [tex](x_{2} ,y_{2} )[/tex]

2. Plug the values into the formula:

[tex]y = \frac{-7-9}{4-(-2)} \\\\y= \frac{-16}{6} \\\\y = \frac{-8}{3}[/tex]

3. Finding the c-value by plugging in one of the points into the equation

y = mx + c

9 = -8/3 (-2) + c

9 = 16/3 + c

c = 11/3

4. y = -8/3x + 11/3


Related Questions

Megan is shopping at a store that sells jewelry, scarves, and purses. The cost of all of the items at the store includes tax. Megan buys 3 bracelets and 3 necklaces. Each bracelet costs $5. Megan pays the clerk $40 and gets $4 change. What is the cost, in dollars, of one necklace?

Answers

Answer: 7$

Step-by-step explanation: 40-4= 36 | 3x5=15 | 36-15=21 | 21/3=7

help please, kind of confused

Answers

Answer:

Step-by-step explanation:

Yikes. This is quite a doozy, so pay attention. We will begin by factoring by grouping. Group the first 2 terms together into a set of parenthesis, and  likewise with the last 2 terms:

[tex](2d^4+6d^3)-(18d^2-54d)[/tex] and factor out what's common in each set of parenthesis:

[tex]2d^3(d+3)-18d(d+3)[/tex]. Now you can what's common is the (d + 3), so factor that out now:

[tex](d+3)(2d^3-18d)[/tex] BUT in that second set of parenthesis, we can still find things common in both terms, so we continue to factor that set of parenthesis, carrying with us the (d + 3):

[tex](d+3)2d(d^2-9)[/tex] BUT that second set of parenthesis is the difference of perfect squares, so we continue factoring, carrying with us all the other stuff we have already factored:

[tex](d+3)2d(d+3)(d-3)[/tex]. That's completely factored, but it's not completely simplified. Notice we have 2 terms that are identical: (d + 3):

[tex]2d(d+3)^2(d-3)[/tex] is the completely factored and simplified answer, choice 3)

1, 2, 5, 9, Rule i-

what is the rule

Answers

Answer:

it is an infinite rule guiding it

Please give me the answer and show me how you solved it

Answers

Answer:

Step-by-step explanation:

Whenever you're simplifying radicals and there are numbers involved, ALWAYS find the prime factorization of the number. It will always help...Promise! 8 = 2 * 2 * 2 or 2³. So we can rewrite that radical as

[tex]\sqrt[3]{2^3}[/tex]  Cubing "undoes" a cubed root, so the answer is 2

Answer: the answer is  2

Use the Venn diagram to calculate probabilities.

Circles A, B, and C overlap. Circle A contains 12, circle B contains 11, and circle C contains 4. The overlap of A and B contains 5, the overlap of B and C contains 3, and the overlap of C and A contains 6. The overlap of the 3 circles contains 8.

Which probabilities are correct? Select two options.

P(A|C) = Two-thirds
P(C|B) = StartFraction 8 Over 27 EndFraction
P(A) = StartFraction 31 Over 59 EndFraction
P(C) = Three-sevenths
P(B|A) = StartFraction 13 Over 27 EndFraction

Answers

Answer:

The first one

The fourth one

Step-by-step explanation:

Draw a venn diagram (see picture)

A|C= (A∩C)/C

(6+8)/(6+8+3+4)= 2/3

C|B= (C∩B)/B

(8+3)/(11+5+8+3)= 11/27

A=(12+5+8+6)/(11+5+8+3+4+6+12) = 31/49

C= (4+6+8+3)/(12+5+11+6+8+3+4)=  3/7

P(B|A)= (B∩A)/A

(5+8)/(12+5+6+8) = 13/31

Answer:

A and D

Step-by-step explanation:

edge 2021

Please answer the question no photos and no words just plain working out
Correct answer will get brainliest

Answers

Answer:

Step-by-step explanation:

volume of a prism =base area * length

35 = base area * 7

35/7 = base area

5 cm^2 =base area

base area= [tex]\frac{1}{2}*b*h[/tex]

5=[tex]\frac{1}{2}*4*h[/tex]

5=2*h

5/2=h

2.5=h

ima give branliest if you answer this correctly​

Answers

Answer:

Step-by-step explanation:

It 1 2

Find the product mentally.
(r - s)^2

A) r^2 - 2 rs + s^2
B) r^2 - rs + s^2
C) 2 r^2 - rs - s^2

Answers

Step-by-step explanation:

A is the answer to the question

A) r^2 - 2rs+s^2

...............................

If x is a positive integer, for how many different values of x is StartRoot StartFraction 48 Over x EndFraction EndRoot a whole number? 2 3 6 10

Answers

Answer:

3

Step-by-step explanation:

According To the Question,

Given that, 'x' is a positive integer . And We have to find the number of different values of 'x', So that the value of [tex]\sqrt{\frac{48}{x} }[/tex] is a Whole number.

Then First, we have to find those values of 'x' for which the given fraction is a square.

We Know, All the factors of 48 are {1,2,3,4,6,8,12,16,24,48} .

Now, From the above factors, only (3,12 & 48) can give us a square number.

Therefore,

If x=3, Then [tex]\sqrt{\frac{48}{3} } = \sqrt{16}[/tex] ⇒ 4If, x=12, Then [tex]\sqrt{\frac{48}{12} } = \sqrt{4}[/tex] ⇒ 2If, x=48, Then [tex]\sqrt{\frac{48}{48} } = \sqrt{1}[/tex] ⇒ 1

Thus, There are 3 whole numbers (3,12,48).

Answer:

bbbbbbbbbbbbbbbbb

Step-by-step explanation:

V is the midpoint of UW
and X is the midpoint of TW

If TU=p+14 and VX=p–6, what is the value of p?

Answers

Answer:

p = 2

Step-by-step explanation:

2VX = TU

2(p - 6) = p + 14

2p - 12 = p + 14

p = 2

Can someone help me? It's urgent and thank you!

Answers

Answer:

15.2%

Step-by-step explanation:

There are 12 marbles in total and there are 5 red marbles, so the probability of getting a red marble is 5/12. There are now 11 marbles and there are 4 blue marbles. So the probability of getting a blue marble is 4/11.

You multiply these 2 values together.

5/12 * 4/11 = 20/132 = 0.1515

This is about 15.2%

Answer:

option b : 15.2 %

Step-by-step explanation:

5 Red , 4 Blue,  3 Yellow

Total balls = 12

[tex]Probability \ of \ choosing \ red = \frac{5C_1}{12C_1} = \frac{5}{12}\\\\Probability \ of \ choosing \ blue \ without \ replacement = \frac{4C_1}{11C_1} = \frac{4}{11}\\\\Probability \ of \ red \ and \ then \ blue = \frac{5}{12} \times \frac{4}{11} = 0.1515\\\\Probability \ in \ percentage = 0.1515 \times 100 = 15.15 = 15.2 \%[/tex]

Suppose that QRS is isosceles with base q r. Suppose also that m q equals (5x - 14(degrees and Mr equals (4x - 2)degree

PLEASE HELP ME

Answers

Answer:

<S= 88degrees

<Q = <R = 46degrees

Step-by-step explanation:

Since the base angles of the isosceles triangle are equal hence;

<Q = <R

5x - 14 = 4x -2

5x - 4x  = -2 +1 4

x = -2 + 14

x = 12

Since <Q = 5x - 14

<Q = 5(12) - 14

<Q = 60 - 14

<Q = 46degrees

Also <Q = <R = 46degrees

Similarly; <S + <Q + <R =180

<S +46 + 46 = 180

<+92 = 180

<S = 180 - 92

<S= 88degrees

there are 15 tickets in a box each bearing one of the a number from 1 to 15 one ticket is drawn at random from the box find the probability of event that the ticket drawn shows an even number and shows a number which is multiple of 5​

Answers

Answer:

(i) no. of favourable out comes =7 i.e. {2,4,6,8,10,12,14}

∴ P=

15

7

(ii) no. of favourable outcomes =3 i.e {5,10,15}

∴ P=

15

3

=

5

1

Step-by-step explanation:

thats my answer thank you

A sports magazine prints 12 issues per year, and a technology magazine prints 10 issues per year. The total number of pages in all the issues of the sports magazine for one year is 32 more than the total number of pages in all the issues of the technology magazine for one year. Each issue of the sports magazine has 18 fewer pages than each issue of the technology magazine. Which system of equations can be used to find s, the number of pages in each issue of the sports magazine, and t, the number of pages in each issue of the technology magazine?
A. t = s - 18
10t = 12s + 32
B. s = t - 18
12s = 10t + 32
C. s = t - 18
10s = 12t + 32
D. t = s - 18
12t = 10s + 32

Answers

Answer:

[tex]\text{B .}\\\begin{cases}s=t-18, \\12s=10t+32\end{cases}[/tex]

Step-by-step explanation:

The each issue of the sports magazine, [tex]s[/tex], has 18 fewer pages than each issue of the technology magazine, [tex]t[/tex], we have equation [tex]s=t-18[/tex]. This eliminates answer choices A and D.

The second equation can be written from the fact that the total number of pages in all the sports magazines, [tex]12s[/tex], is 32 more than the total number of pages in all the technology magazines, [tex]10t[/tex]. Thus, we have equation [tex]12s=10t+32[/tex], eliminating answer choice C and leaving answer choice [tex]\boxed{\text{B .}\\\begin{cases}s=t-18, \\12s=10t+32\end{cases}}[/tex]

evaluate 9!/6!3!


plz helppp:)))

Answers

Answer:

84 :-)

Step-by-step explanation:

The answer is 84... the second option

A factory produces 10,000 boxes of granola bars a day. Each box contains 12 bars. If each bar contains 135 calories, how many calories are contained in a box? a. 1,350,000 calories c. 1,620 calories b. 11.25 calories d. 833 calories

Answers

Answer:

1620

Step-by-step explanation:

You don’t use the 10,000.

12 bars/box x 135 calories/box=1,620 per box

Pleaseee someone help meeee

Answers

Answer: Quadrant 1 because both numbers are Positive

Hope this helps...

Have a great day

how do -12.5and -10.5 compare ? choose the correct symbol

Answers

Answer:

<

Step-by-step explanation:

-10.5 is close to zero than -12.5 therefore it is greater. (Negatives are different than positives because the close they are to zero, the bigger they actually are.)

Hope this helps!

:)

-12.5 < -10.5 because -12.5 is farther away from 0 on a number line

Please can someone help me with this question?

Answers

Answer:

a = 16 π cm²      Exact answer

a = 50.24 cm²       Decimal approximation

Step-by-step explanation:

Radius of the circle

16/2 = 8

Area of the circle

a = πr²

a = π4²

a = 16 π cm²      Exact answer

a = 16 * 3.14

a = 50.24 cm²       Decimal approximation

does the great pyramid of giza fit the golden ratio? why or why not?

Answers

Step-by-step explanation:

hope it helps thanks

pls mark me brainliest

PLEASE HELP ITS TIMED LITTERALY IM BEGGING :(( 32 points WITH BRAINLIEST!!

Answers

Answer:

I think it might be C but I'm not 100% sure!

Step-by-step explanation:

You have to find a line of best fit (a line through the dots) but it's kind of tricky to do that so I think it's probably C but it could also be A. Just use your best judgement on this one!

Answer:

C

Step-by-step explanation:

If you graph all 4 and plot  all 4 of the  point, line c  is the most accurate and lines up the best out of all 4.

Surface area hw help pls

Answers

Answer:

Find the perimeter first then the are

Step-by-step explanation:

hted by f(x) = 4
4.0
3
The type of function
represented

Answers

what does this mean??

In a study conducted at a large long-term care facility, two data collectors examined 56 pressure ulcers on 40 different subjects. The examinations were independently performed on the same day. A comparison of the results indicated that the data collectors scored 54 of the 56 (correlation coefficient 0.96) pressure ulcers identically using the Braden Scale for pressure ulcer assessment. What can be determined from this finding?

Answers

Answer:

Interrater reliability between the two data collectors was high

Step-by-step explanation:

Explanation-

Interrater reliability is the consistency of observations between two or more observers. An Agreement of 54 out of 56 scores would indicate a high level of interrater reliability. The data collection method was appropriate for pressure ulcer risk assessment. The risk assessments did not have to be done by both evaluators at the same time.

Simplify

(2m^4)^4*-n^5


this is the last questions but I'm confused

Answers

Answer:

-16m^16 n^5

Step-by-step explanation:

(2m^4)^4*-n^5

= 2^4*m^16*(-n^5)

= 16 m^16 * (-n^5)

= -16m^16 n^5

hopefully this will help

(2m⁴)⁴(-n⁵)-2⁴m¹⁶n⁵-16m¹⁶n⁵

Remember the rule

(a^m)^n=a^mn

PLEASE HELP! I’ll DO BRAINLIEST!!!!! Plss
For f(x) = 3x + 1 and g(x) = x ^ 2 - 6 , find (fg)(x)

A) 4x^2-6x-8
B) 3x^3+x^2-6x-6
C) 3x^2-17
D) 3x^3+x^2-18x-6

Answers

9514 1404 393

Answer:

  D)  3x^3 +x^2 -18x -6

Step-by-step explanation:

The distributive property applies.

  (f·g)(x) = f(x)·g(x) = (3x +1)(x^2 -6) = 3x(x^2 -6) +1(x^2 -6)

  (f·g)(x) = 3x^3 -18x +x^2 -6 . . . . . eliminate parentheses

  (f·g)(x) = 3x^3 +x^2 -18x -6 . . . . put in standard form

can u help me plzx part 2

Answers

I am here to help ya! (Again) :>
Answer: 528 inches^3
Explanation: Multiply all sides together
12*4*11
In total you get 527 inches^3

Hope this helps you! If available please give me a Branliest. It would be much appreciated. It would also help me answer more questions! Goodluck.

- Mathhotdog •~•

Evaluate the expression when a=3 and b=-6.
- 3a + b

Answers

Answer:

-15

Step-by-step explanation:

a = 3 and b = -6.

- 3a + b

Substitute for a and b

adding negatives is subtracting

-3(3) - 6

Multiply

-9 - 6

add

-15

-3a + b
-3(3) + -6
-9 + -6
-15

Pls help ahahahhahaha

Answers

Step-by-step explanation:

x=30° { ins angle inscribed angle Standing on arc are equal }

hope it helps

stay safe healthy and happy...

Terrific Tents has a new two-person tent. If the material costs $0.02 per square inch, find out how much it costs to make each two-person tent.

Answers

Answer:

$280

Step-by-step explanation:

Please find attached the image of the tent

cost of the tent = cost per square inch x total surface area of a triangular prism

total surface area of a triangular prism = (perimeter x height) + 2(area of a triangle)

Area of a triangle = 1/2 x base x height = 1/2 x 40 x 50 = 1000in²

1000 x 2 = 2000

Perimeter = 50 + 50 + 50 = 150

150 x 80 = 12,000

total surface area = 12,000 + 2000 = 14,000

Total cost = 14,000 x 0.02 = $280

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