Find the slope of a line that passes through the
following ordered pairs. Reduce to lowest
terms.
(8,7) & (4,5)

Answers

Answer 1

Answer:

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

Step-by-step explanation:

To find the slope you can use the slope equation:

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

Let's define the terms in the equation:

y2 = 5

y1 = 7

x2 = 4

x1 = 8

Now, let's put these into the equation and solve:

[tex]slope = \frac{5 - 7}{4 - 8} = -\frac{2}{4} = -\frac{1}{2}[/tex]

Therefore, the slope is -1/2.

I hope this helps!!

- Kay :)


Related Questions

What is the value of x in the equation below?
29.46=13.82+4x

Answers

Answer:

x=3.91

Step-by-step explanation:

29.46=13.82+4x

13.82+4x=29.46

subtract 13.82 from both sides

4x=15.64

divide by 4

x=3.91

A new bank customer with $3,000 wants to open a money market account. The bank is offering a simple interest rate of 1.1%. What will be the account balance after 20 years?​

Answers

Answer: The interest customer earn in 20 years will be, $ 660

Step-by-step explanation :

Given:

Principle = $3000

Interest rate = 1.1 %

Time = 20 years

Now we have to determine the simple interest.

Formula used :

where,

P = principle

R = interest rate

T = time

S.I = simple interest

Now put all the given values in the above formula, we get:

Thus, the interest customer earn in 20 years will be, $ 660

Hoped this help :) I’m also a fan of flimflam

Easy Question
Easy Answer
-------------------
Find & Explain Mistake

Answers

She basically added nine dollars and fifty cents instead of finding 9.5% of the total and adding that on.

Answer:

added 9dollar inestend of 9.5%

Step-by-step explanation:

HELP HELP HELP ASAP PLEASE IM STUCK

Answers

Answer:

I would say A?

Step-by-step explanation:

if i'm not right im sorry :(

The answer is C because since two of the figures are squares you can take the square root of the areas to find the sides of the rectangle.

Some help would be appreciated !!

Find the perimeter.

Answers

perimeter = 2(x - 6y) + 2(8x² - x - 4y)

2x - 12y + 16x² - 2x - 8y

= 16x² - 20y units

Write the equation in slope intercept form y - 4=10(x-5)

Answers

Answer:

y= 10x - 46

Step-by-step explanation:

slope intercept form model: y=mx+b

is y equals 3x + 2 proportional number or non proportional​

Answers

Answer:

Non-proportional

Step-by-step explanation:

because it has a y-intercept of 2 in order for it to be proportional its y-intercept should be 0.

A cash register must have at least $25 in change consisting of x dimes and y quarters. Write a linear inequality that represents the different numbers of dimes and quarters that can satisfy this requirement.

In addition, would 150 dimes and 40 quarters satisfy this requirement?

Answers

Answer:

150 has to be times 40

Step-by-step explanation:

150×40+25÷35=1

what is the distance between -8 and -1.9 on a number line?​

Answers

Answer:

6.1

Step-by-step explanation:

hope this helps :D pls mark brainliest :D

the distance between the two number is 6.1

There are 3 red marbles, 2 blue marbles, and 7 black marbles if you choose one marble, what is the probability that it will be a red marble?

Answers

Answer:

3:12

Step-by-step explanation:

3 + 2 + 7 = 12

3 = red marbles

12 = total marbles

Answer:

Probability of both red =3(182)=3(18!2!16!)=3153

Step-by-step explanation:

Let Ai be the event in which the i-th ball you grab is red. For the first ball you choose, you have 3 red marbles out of a total of 18. Therefore,

P(A1)=318.

For the second marble you grab, given that you already took a red one, that is, given A1, you have 2 red balls out of a total of 17, then

P(A2∣A1)=217.

Finally,

P(A1∩A2)=P(A1)P(A2∣A1)=318217=151.

10 POINTS For which equation would x = 4 be a solution?

A.4x + 7 = 23
B.4x ÷ 8 = 8
C.8 - 5x = 1
D.7 + 3x = 18

Answers

A would be the correct answer
A would be the answer because you -7of both sides then it would leave 4x=16 so then divided both sides by 4 so x=4

Find the value of (7x+17) (8x+2)

Answers

Answer:

Step-by-step explanation:

7x+17+8x+2)

7x+17+8x+2

7x+8x+17+2

15x+19.

Cecile packages snack mix at a health food store. She uses 13 of her supply of sunflower seeds to make a salted snack mix and 29 of her supply to make an unsalted snack mix. If Cecile uses 10 pounds of sunflower seeds, how many pounds of seeds are in her supply? 18 pounds 23 pounds

Answers

Given:

Cecile uses [tex]\dfrac{1}{3}[/tex] of her supply of sunflower seeds to make a salted snack mix and [tex]\dfrac{2}{9}[/tex] of her supply to make an unsalted snack mix.

Cecile uses 10 pounds of sunflower seeds.

To find:

The total pounds of seeds in her supply.

Solution:

Let x be the total pounds of seeds in her supply.

Cecile uses [tex]\dfrac{1}{3}[/tex] of her supply of sunflower seeds to make a salted snack mix, i.e., [tex]\dfrac{1}{3}x[/tex].

Cecile uses [tex]\dfrac{2}{9}[/tex] of her supply to make an unsalted snack mix, i.e., [tex]\dfrac{2}{9}x[/tex].

Total sunflower seeds used = 10 pounds.

[tex]\dfrac{1}{3}x+\dfrac{2}{9}x=10[/tex]

[tex]\dfrac{3x+2x}{9}=10[/tex]

[tex]5x=10\times 9[/tex]

[tex]5x=90[/tex]

Divide both sides by 5.

[tex]x=18[/tex]

So, there are 18 pounds of seeds in her supply.

Therefore, the correct option is A.

Determine the area of the following parallelogram. Show your work.
10 yd
9 yd
7 yd

Answers

Step-by-step explanation:

Area of parallelogram = base * height

Area = 7*9

Area = 63 yd^2

Answer:

63yd²

Step-by-step explanation:

Here,

Base = 7Height = 9

So,

We know that,

Area of Parallelogram = b × h

→ 7 × 9

→ 63yd²

Thus,

Area of Parallelogram is 63yd²

What are the three methods to solve a system of linear equations?

Answers

the graphing method, the substitution method, and the elimination method

87/2 in its simplest form

Answers

The answer would be 43 1/2

cos2x-cos 4x
lim
x-0 1-cos 2x cos 4x

Answers

After evaluating the limit we get the answer as 3/5.

Given the expression is : limₓ₋₋₎₀ cos 2x ₋ cos 4x/1-cos2xcos4x

= limₓ₋₋₎₀  cos2x - (2cos²2x ₋ 1)/1-cos2x(2cos²2x - 1)

= limₓ₋₋₎₀  -2cos² + cos2x +1/₋2cos³2x + cos2x + 1

let u =cos2x that is, u → 0

= limu₋₋₎₁  -2u²+u+1/₋2u³+u+1

= limu₋₋₎₁  2u + 1/2u²+2u+1

= 2+1/2×1² + 2 × 1 +1

= 3/2+2+1

= 3/5

hence we get the value as 3/5.

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Which of the following exponential functions has a horizontal asymptote at y = –2 ? f (x) = 2(–x + 2) f (x) = 2(–x – 2) f (x) = –2x + 2 f (x) = –2x – 2

Answers

An exponential function with a horizontal asymptote at y = -2 will be of the form:

f(x) = 2^(-x) - 2

Which of the following exponential functions has a horizontal asymptote at y = -2?

An exponential equation will have a horizontal asymptote when the exponent, x, has a negative sign. This will cause that as x tends to infinity, the exponential part of the function will tend asymptotically to zero.

Now, if we want to have an horizontal asymptote at y = -2, then we also need to have a constant term equal to -2 which takes weight as x tends to infinity, and the other part of the function becomes almost zero.

So the function will be something like:

f(x) = 2^(-x) - 2

Learn more about exponential functions:

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the exponential function that has a horizontal asymptote at y = –2 is

D. f (x) = –2x – 2

100% correct

Damian has a balance of $10,200 on his credit card. He threw the card away so he can never use it again. He has 3 1/2 years to pay off the balance. The interest rate on his card is 21%. At the end of the 3 1/2 years, how much interest has he paid?

Answers

Answer:

the interest that have to paid is $9,676.91

Step-by-step explanation:

The computation of the interest to be paid is as follows:

= Future value - initial value

= $10,200 × (1 + 0.21)^3.5 - $10,200

= $19,876.91 - $10,200

= $9,676.91

Hence, the interest that have to paid is $9,676.91

We simply applied the above formula so that the correct value could come

And, the same is to be considered

Your family goes to a Southern-style restaurant for dinner. There are 6 people in your family.
Some order the chicken dinner for $14 and some order the steak dinner for $17. If the total bill
was $99, how many people ordered each dinner?

Answers

Answer:

We conclude that:

The number of people who ordered the chicken dinner = 1The number of people who ordered the steak dinner = 5

Step-by-step explanation:

Given that

Some order the chicken dinner for $14some order the steak dinner for $17.Total bill = $99

Let 'n' be the number of people who ordered the chicken dinner.Let '6-n' be the number of people who ordered the steak dinner.

Thus, the equation becomes

[tex]14n + 17(6-n) = 99[/tex]

[tex]14n + 102 - 17n = 99[/tex]

[tex]-3n = 99 - 102[/tex]

[tex]-3n = -3[/tex]

Divide both sides by -3

[tex]n = 1[/tex]

and

[tex]6-n = 6-1 = 5[/tex]

Therefore, we conclude that:

The number of people who ordered the chicken dinner = 1The number of people who ordered the steak dinner = 5

What is the domain of the given function?

(-1, 1), (0, -2), (1, 3), (3, 0)

A. {0, 1, 2, 3}
B {-2,0, 1, 3}
C {-1, 0, 1, 3}
D (-2,-1, 0, 1, 2, 3}

Answers

Answer: i think it is A pls correct me if i'm wrong :)

Step-by-step explanation:

A 0,1,2,3 would be the domain

I need help with this​

Answers

Answer:

(x-7, y+3)

Step-by-step explanation:

y+3 because the translated image goes up three

-you just have to count the dots.... its ez

PLEASE HELP ME!!!!! PLEASE I WANT TO GET THIS RIGHT

What is the price per pound for Fuji apples?

What is the price per pound for Golden Delicious apples?

What is the price per pound for Macintosh apples?

Answers

Answer:

Step-by-step explanation:

Fuji Apples: 7/6 = $1.16

Golden Delicious Apples: 1/0.75 = 100/75 = $1.33

Macintosh Apples:  $2

Hope this helps!      :3

plz mark as brainliest!

what is the solution to the following system? (picture)
a. (2,3,4)
b. (4,3,-2)
c. (4, 3, 2)
d. (6, 7, -2)

Answers

option C

PLS MAKE ME AS THE BRAINLIEST ANSWER

find the value of x (9x-3)​

Answers

9x^2-3x
mark me brainliest if the answer is correct, thank you in advance :)

The result of the multiplication is the value of x (9x-3)​ is:  9x² - 3x.

Here, we have,

given that,

the expression is:  x (9x-3)​

now we need to find the value of x (9x-3)​

we have,

x (9x-3)​

=> x × (9x-3)​

so, we have to multiply this two terms.

now, we get,

=> x × (9x) - x × 3

=> 9x² - 3x

Hence, The result of the multiplication is the value of x (9x-3)​ is:  9x² - 3x.

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help me please I'm stuck ​

Answers

Answer:

I think its C

Step-by-step explanation:

B. Looks like the correct answer, tell me if I’m right

Which equation has a solution of (-2,1)?

A. y=-2x+1
B. y=2x-1
C. y=-2x-3
D. y=2x+3

Answers

C because you have to substitute so 1=-2(-2)-3

The first three terms of a sequence are given. Round to the nearest thousandth (if
necessary)
15, 30, 60,...
Find the 6th term.

Answers

Answer:

960

Step-by-step explanation:

60× 2

120×2

240×2

480 ×2 = 960

A rollercoasterbrises 210 feet into the air, drops 240 feet, rises 80 feet before dropping another 30 feet again. Finally the rollercoaster drops another 50 feet. What is the height of the rollercoaster after the last drop​

Answers

Answer:

-30 feet

Step-by-step explanation:

What we know:

The rollercoaster first rose 210 feet, so after rise 1, the height is +210 feet.

After that, it dropped 240 feet. This is greater than the 210 feet it initially rose, so the number is now negative. The height is now -30 feet.

210 - 240 = -|240-210| = -|30| = -30 feet

After that, it rose another 80 feet. That outdoes the eariler -30 feet, so we're back to a positive height. After that rise, the height is now +50 feet.

-30 + 80 = |80 - 30| = |50| = 50 feet

Then the last two drops combine for a 80-foot drop. This is greater than the +50-foot height it was at, so we're back at -30 feet.

50 - 80 -|80 - 50| = -|30| = -30 feet after the last drop

Solve the following system:
y = 5x
3x + 2y = 52

Your answer:​

Answers

y = 5x ............. (i)3x + 2y = 52 ............ (ii)

After putting the value of y into the eq. (ii) ,

[tex] \sf 3x + 2 \times 5x = 52[/tex]

[tex] \sf ⇒ \: 3x + 10x = 52[/tex]

[tex]⇒ \sf13x = 52[/tex]

[tex] \sf ⇒x = 4[/tex]

After putting the value of x into the eq. (1)

[tex] \sf \: y = 5 \times 4[/tex]

[tex]⇒ \sf y = 20[/tex]

Hence, the value of x is 4

& the value of y is 20.

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