Choose the point-slope form of the equation below that represents the line that passes through the points (−6, 4) and (2, 0)

Choose The Point-slope Form Of The Equation Below That Represents The Line That Passes Through The Points

Answers

Answer 1

Answer:

B.  y - 4 = - 1/2(x + 6)

Step-by-step explanation:

Given points on the line:

(−6, 4) and (2, 0)

Find the slope:

m = (0 - 4)/(2 - (-6)) = -4/ 8 = -1/2

Point slope form using the first point:

y - 4 = - 1/2(x - (- 6)) ⇒ y - 4 = - 1/2(x + 6)

Correct choice is B

Answer 2

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The required equation is :

[tex]\boxed{ \boxed{y - 4 = - \dfrac{1}{2} (x + 6)}}[/tex]

[tex] \large \boxed{ \mathfrak{Explanation}}[/tex]

Let's find the slope (m) ~

[tex] \mathrm{\dfrac{y_2 - y_1}{x_2 - x_1} }[/tex]

[tex] \dfrac{4 - 0}{ - 6 - 2} [/tex]

[tex] - \dfrac{4}{8} [/tex]

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

now, let's use the slope and the points to write the equation of line in point slope form ~

[tex]y - 4 = - \dfrac{ 1}{2} (x - ( - 6))[/tex]

[tex]y - 4 = - \dfrac{1}{2} (x + 6)[/tex]

Related Questions

What is the best choice for the equation of the line of best fit shown?
Note that this estimate would be a strong prediction since it is an interpolation (between data points) and the graph shows fairly strong negative correlation.
a) y = -2.5x + 25
b) y = -1.5x +23
c) y = 1.5x + 23
d) y = -2.5x + 15

Answers

Answer:

What is the best choice for the equation of the line of best fit shown?

b) y = -1.5x + 23

What would the value of y be for a point at x = 8?

b) 11

Did this on EDGE!

The best choice for the equation of the line shown in the graph is y = -1.5x + 23. the correct option is B.

What is an equation?

The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

In the given graph the data is varying along the line y = -1.5x + 23. Where y is the dependent variable and x is the independent variable.

Therefore, the correct option is B.

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Help in this as well

Answers

Answer:

b 321 and 322

Step-by-step explanation:

because 321.5 is between 321 and 322

I need a answer PLEASE

Answers

Answer:

it's the third one. x=47/3

Step-by-step explanation:

if needed in decimal form: 15.666

mixed number form: 15 2/3

Answer:
It’s option 3: x = 47/3

Explanation:
When cross multiplied, it becomes
7*8 = 1 * 3x+9
56 = 3x+9
Subtracting on both sides,
56-9 = 3x+9-9
47 = 3x
Dividing on both sides,
47/3 = 3x/3
47/3 = x

I hope you understand

Dan the Donut man has to buy the donut machine for 89 dollars. He then can make donuts and sell them for 2 dollars a person. How many donuts does he need to sell to make at least
$231?

Answers

Answer:

161 donuts

Step-by-step explanation:

(231+89)/2 then add one more donut as the question asked for at least $231

320/2 = 160 + one more donut = 161 donuts have to sold to make at least $231.

You have add the machine price as he wouldn't be making a profit off it if he didn't surpass what he spent for it.

Check your work by doing 161 times 2 minus 89 minus the 1 donut added and you'll get the $231. Not subtracting the one shows the profit of a dollar aka at least $231

I’m pretty sure he needs to sell 115 donuts

draw a suitable line on the grid and use your graphs to solve the equation 2/x - x^2 =5x​

Answers

Answer:

I graphed the answer above in the image

HELLLP IM GIVING BRAINLYEST TO THE RIGHT ANSWER

Answers

Answer:

Well, what's the question?

Jennifer's school is selling tickets to a fall musical. On the first day of ticket sales the school sold
6 senior citizen tickets and 9 student tickets for a total of $147. The school took in $240 on the
second day by selling 12 senior citizen tickets and 12 student tickets. What is the price each of
one senior citizen ticket and one student ticket?

Answers

Answer:

one senior citizen ticket costs 11 dollars

one student ticket costs 9 dollars

Step-by-step explanation:

Jeandre said |6| equals |−6|. Is Jeandre correct? Complete the explanation.

Answers

Jeandre is correct because the absolute value of a number represents its distance from zero on the number line. Both 6 and -6 are 6 spaces away from 0.

The sum of the interior angles of a polygon is 2700 degrees. Calculate the number of sides.

Answers

Answer:

17 sides

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here sum = 2700° , then

180°(n - 2) = 2700° ( divide both sides by 180° )

n - 2 = 15 ( add 2 to both sides )

n = 17

The polygon has 17 sides

What is 1.07 + 42.5 HELP PLSSSSSSSSSSSS

Answers

Answer:

43.57

Step-by-step explanation:

Line up the decimal points.

Add a 0 for 1.07 so the numbers have the same length.

01 . 0 7

42. 5 0

-------------

43.57

Answer:

1.07+42.5

=1.07+42.5

=43.57

Step-by-step explanation:

Add the numbers

Make 42.5 equal to 42.50 for better understanding when calculating

Four different stores are offering incentives to purchase headphones as shown below. Noisy Music Regular Price $250 Clearance Special - 15% off Loud N Sharp Regular Price $200 $5 off for every $100 spent Music Mart Regular Price $300 Mail-in rebate for $115 Head Jamz Regular Price $225 Manager special – 25% off Which store offers the lowest price?

Answers

Answer:

Head Jamz

Step-by-step explanation:

Noisy Music Regular Price $250 Clearance Special - 15% off

If 15% is off then we pay only 100-15 =85% from the original price.

$250 / 100 % = x / 85%

x= 250*85/100 = $ 212.5

Loud N Sharp Regular Price $200 $5 off for every $100 spent

If the price is 200 then will get $5+$5 =$10 discount

Final price will be 200-10 = $ 180

Music Mart Regular Price $300 Mail-in rebate for $115

$300-$115 = $ 185

Head Jamz Regular Price $225 Manager special – 25% off

If 25% is off we only pay 75% of the original price

$225/ 100% = x / 75%

x= 225*75/ 100 = $168.75 is the lowest price

[tex]14x=8x+30[/tex]

Answers

Answer:

5

Step-by-step explanation:

14x - 8x = 30

5x = 30

x = 6

..........

Answer:

solution

14x=8x+30

collect like terms

30=8x-14x

30= -6x

divide by -6x

30/-6 = -6x/-6

X= –5

What is the area of the trapezoid if the bottom base is 4x-5 and the top is 6x+3 with both sides being -5x+10?

Answers

Step-by-step explanation:

Area=(a+b)/2 x h

a=6x+3

b=4x-5

h=-5x+10

Area= -25x^2+55x-10

Write -7 / 9 as a rational number 3 different ways.

Answers

I)-7/9=-7×2/9×2=-14/18
(2)-7/9=-21/27
(3)-7/9=-28/36

PLS HELP IVE BEEN STRUGGLING WITH THIS TOPIC TYSM ILL MARK BRAINLIEST

Answers

Answer:

The answer would be 32

Step-by-step explanation:

equation would be: 6+2(12+1)

which then turns into 6+24+2

which equals 32

Answer:

32

Step-by-step explanation:

Since a = 3, b = 4, and c = -1

The Equation is:

= 2 × (3) + 2 × [(3) × (4) - (-1)]

= 6 + 2 × [12 - (-1)]

= 6 + 2 × (12 + 1)

= 6 + 2 × 13

= 6 + 26

= 32

9. Jerry's bedroom is square. He has a square desk that has an area of 1000 cm2. The area
of the bedroom is 16 times as large as the area of the desk. What is the side length of the
bedroom?

Answers

Answer: 126.49 cm [A VERY small bedroom]

Step-by-step explanation:

The area of the square bedroom is 16 times larger than Jerry's 1000 cm^2 desk. That makes his bedroom 16000 cm^2, It is square, so each side, x, is the same: x^2 = 16000 cm^2; x = 126.49 cm.

For reference, 126.49cm is 4.14 feet.

Challenge A large university accepts 40% of the students who apply. Of the students the
university accepts, 40% actually enroll. If 30,000 students apply, how many actually enroll?
students would actually enroll. (Type a whole number.)

Answers

Answer:

4,800 student's actually enroll.

Step-by-step explanation:

40% of 30,000 is 12,000.

40% of 12,000 is 4,800.

Solve for b in the literal equation a+ b+ c= 180

Answers

Answer:

b = 180 - a - c

Step-by-step explanation:

To solve for b given the literal equation, a + b + c = 180:

Subtract a and c from both sides:

a + b + c = 180

a - a + b + c - c = 180 - a - c

b = 180 - a - c

George found a job posting on an Internet website. The job pays a yearly salary of $60K. What is the monthly salary based on this annual salary?
plzzzzzzzzzzzzzzzzz help me

Answers

Answer:

5k a month

Step-by-step explanation:

Steve leaves the corner of First and Maple on his bicycle and travels an average speed of 9 mi/hr. Two hours later,his brother leaves from First and Maple, following him on a moped traveling 27 mi/hr. How long will it take him to catch up with steve?

Answers

Answer:

Two hours later his brother leaves from first and maple and comes after him on a moped travelling 27 mph, His uphill speed was 8 miles per hour slower than his downhill speed.

Step-by-step explanation:

I need help please can anyone help.

Answers

Answer:

What do you need help on there’s nothing??

Can someone help me answer this question

Answers

Answer:15 should be on the x and add all together with the 69

Step-by-step explanation:

which one? A? B? C? or D? help me pleaseee ​

Answers

the answer is c………….

Answer:

I'm pretty sure it's C I may be wrong though

Step-by-step explanation:

the fraction 11 of 9 lies between ​

Answers

Answer:

1.222.......

Step-by-step explanation:

11/9=1.2222

so it is between 1&2

What is the vertex form of the function: f(x) = -12x - 6x^2- 13?

Answers

Answer:

f(x)=-6*(x+1)^2+-7

Step-by-step explanation:

This is because the vertex is at (-1|-7)

f(x)=-6*x^2+-12*x+-13

f(x)=-6*(x^2+2*x+13/6) ( Factor out )

f(x)=-6*(x^2+2*x+(1)^2+-1*(1)^2+13/6) ( Complete the square )

f(x)=-6*((x+1)^2+-1*(1)^2+13/6) ( Use the binomial formula )

f(x)=-6*((x+1)^2+1*7/6) ( simplify )

f(x)=-6*(x+1)^2+-7 ( expand )

Hope this Helps

3/4 x 28= 1/3 of y state y? Please im in a hurry

Answers

The answer is: Y = 63

A water tank has two valves, one for inlet pipe and the other is outlet pipe. If the tank is empty the inlet valve is

opened, the tank will be full of water after 5 hours. If the tank is full and the outlet valved is opened, the tank

will be emptied in 8 hours. Suppose the tank is empty and both valves are opened, in how many hours will the

tank be full?

Answers

Let V be the volume of the tank. The inlet pipe fills the tank at a rate of

V / (5 hours) = 0.2V / hour

and the outlet pipe drains it at a rate of

V / (8 hours) = 0.125V / hour

With both valves open, the net rate of water entering the tank is

(0.2V - 0.125V ) / hour = 0.075V / hour

If t is the time it takes for the tank to be full, then

(0.075V ) / hour • t = V

Solve for t :

t = V / ((0.075V ) / hour)

t = 1/0.075 hour

t ≈ 13.333 hours

Which sentence best describe multiples of 5

Answers

Multiples of five are the numbers five, 10, 15 and so on, that you get by skipping to every fifth number. to write them, you start with five, then you keep adding five to your last number to get to the next number
First answer is quite reliable tbh

the cost of an ad is $1 for every 5 words. If Maria wants to spend no more than $15 dollars on her ad, how many words w can she use?

Answers

Answer:

75 words

Step-by-step explanation:

15*5=75

each dollar is five words, so times five by fifteen to get the number of words she can use.

Simplify the following by subtracting the exponents. I will give brainlist

Answers

Answer:

1. r^5

2. st^2

3. qr (the two "s" cancel each other out)

4. z (the x^2's and y^2's cancel each other out)

5. m (the n^2's and o's cancel each other out)

6. x

7. z^-1

8. a (the b^2's cancel each other out)

9. d^4 f^2

Step-by-step explanation:

When exponential variables are divided, the base variable stays the same, and the exponents are subtracted. For example, for #6, x^2/x^1 (x doesn't need an exponent but for the sake of explanation is ^1). We subtract the exponents and since anything "to the power of 1" will just be the base number, for example 6^1 will still be 6.

The simplified expressions are given below.

What are Exponents?

Exponents are the method of writing numbers, especially large numbers, in terms of a base and an exponent, which is written as the power of base.

1) We have the division rule of exponents that,

xᵃ /  xᵇ = xᵃ⁻ᵇ

Using this,

r⁶ / r = r⁶⁻¹ = r⁵

2) s³t⁴ / s²t² = s³⁻² t⁴⁻² = st²

3) q³r²s / q²rs = q³⁻²r²⁻¹s¹⁻¹ = qr

s⁰ =  1, since any number raised to zero is always one.

4) x²y²z / x²y²z

Both numerator and denominator are same.

So the quotient is 1.

5) m³n²o / m²n²o

n²o gets cancelled both in the numerator and denominator.

m³n²o / m²n²o = m³⁻² = m

6) x² / x = x²⁻¹ = x

7) z⁴ / z⁵ = z⁴⁻⁵ = z⁻¹

8) a²b² / ab²

b² gets cancelled since they are same in both numerator and denominator.

a²b² / ab² = a²⁻¹ = a

9) d⁵f³ / df = d⁵⁻¹f³⁻¹ = d⁴f²

Hence the simplified form of each of the expressions is given.

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