Write the point-slope form of an equation of the line through the points (-4, 7) and (5, 3).

Answers

Answer 1

Answer:

[tex]y-7=-\frac{\displaystyle 4}{\displaystyle 9}(x+4)[/tex]

OR

[tex]y-3=-\frac{\displaystyle 4}{\displaystyle 9}(x-5)[/tex]

Step-by-step explanation:

Hi there!

Point-slope form: [tex]y-y_1=m(x-x_1)[/tex] where [tex]m[/tex] is the slope and [tex](x_1,y_1)[/tex] is a point that falls on the line

1) Determine the slope (m)

[tex]m=\frac{\displaystyle y_2-y_1}{\displaystyle x_2-x_1}[/tex] where two given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Plug in the given points (-4, 7) and (5, 3):

[tex]m=\frac{\displaystyle 3-7}{\displaystyle 5-(-4)}\\\\m=\frac{\displaystyle 3-7}{\displaystyle 5+4}\\\\m=\frac{\displaystyle -4}{\displaystyle 9}[/tex]

Therefore, the slope of the line is [tex]-\frac{\displaystyle 4}{\displaystyle 9}[/tex]. Plug this into [tex]y-y_1=m(x-x_1)[/tex] as [tex]m[/tex]:

[tex]y-y_1=-\frac{\displaystyle 4}{\displaystyle 9}(x-x_1)[/tex]

2) Plug a point into [tex]y-y_1=-\frac{\displaystyle 4}{\displaystyle 9}(x-x_1)[/tex]

[tex]y-y_1=-\frac{\displaystyle 4}{\displaystyle 9}(x-x_1)[/tex]

Because we're given two points, there are two ways we can write this equation:

[tex]y-y_1=-\frac{\displaystyle 4}{\displaystyle 9}(x-x_1)\\\\y-7=-\frac{\displaystyle 4}{\displaystyle 9}(x-(-4))\\\\y-7=-\frac{\displaystyle 4}{\displaystyle 9}(x+4)[/tex]

OR

[tex]y-3=-\frac{\displaystyle 4}{\displaystyle 9}(x-5)[/tex]

I hope this helps!


Related Questions

ABCD is a parallelogram. Determine the value of a.

Answers

Answer:

a = 6

Step-by-step explanation:

The opposite sides of a parallelogram are congruent , so

BA = CD , that is

7a - 3 = 3 + 6a ( subtract 6a from both sides )

a - 3 = 3 ( add 3 to both sides )

a = 6

Answer:D

Step-by-step explanation:

I took the test

Expand ; 3(1-x/2)^2​

Answers

Answer:

[tex]3 {( \frac{1 - x}{2}) }^{2} = 3 \times {(1 - x)}^{2} \div {2}^{2} \\ =3 \times (1 - 2 \times 1 \times x + {x}^{2}) \div 4 \\ = 3 \times (1 - 2x + {x}^{2} ) \div 4 \\ = \frac{3}{4} (1 - 2x + {x}^{2})[/tex]

[tex] \bold \pink{ \underline{hope \: it \: helps}}[/tex]

WILL MARK BRAINLIEST PLEASE HELP THIS IS DUE NOW AND NO LINKS!!!

Answers

it would br 1/49

yw and have a great day

twin oaks soccer field is a rectangle. The longer side of the field is 108 yards long. The shorter side is 56 yards long. What is the perimeter of the field?

Answers

Answer:

P = 328 yards

Step-by-step explanation:

formula is P= 2l + 2w

[tex]p = 2(108) + 2(56) \\ = 216 + 112 \\ = 328 \: yards[/tex]

i need help plz help

Answers

Answer:

I believe its the nucleus

Step-by-step explanation:

Not entirely sure though, but its what I would pick

Stacy is driving at a speed of 48 miles per hour. How many feet is she travelling per minute?

Answers

48(miles/hour)*(1 mi/5280 ft)(1 hour/60 min)
-----
= (48*1*1)/(1*5280*60)(ft/min)

Help math if f(x) =

PLEASEEEEE MY LIFE DEPENDS ON THIS

I will send good fortune your way if you answer correctly (and points)

Answers

We have: f(-3) = -2(-3) = 6

ANSWER: f(-3) = 6
Ok done. Thank to me :>

What is the slope and y-intercept that represents this table?​

Answers

Answer:

[tex]m=-2\ 000; q=17\ 000[/tex]

Step-by-step explanation:

First of all, whoever formatted that table is a criminal.

Now, slope first, it's the easiest: the slope in a table like that is the difference between two consecutive position: ie [tex]13\ 000 - 15\ 000[/tex] or [tex]11\ 000-13\ 000[/tex], being careful of subtracting the higher position (not value!) minus the lower, or right minus left. Your slope thus is [tex]-2 \ 000[/tex]. Intercept is found in two ways. One is writing the line in point slope form based on any two values and the slope we found, or since we're jumping integer to integer, you can look at the table in reverse and notice that if you go backwards (ie from 4 to 3 to 2 to 1) the value is increasing by 2000 every time. The intercept [tex]q[/tex]will be the value at 0, or 17 000

At the movie theatre, child admission is $5.50 and adult admission is $8.90. On Friday four times as many adults tickets as child tickets were sold, for a total sales of $986.40. How many child tickets were sold that day?

Answers

Answer:

You can use grouping, quantity and value to solve this question.

Child admission = $5.50

Adult admission = $8.90

Friday sales (Quantity):

Child = x

Adult = 4x

Total sales = 5x

Friday sales (Value):

Child = $5.50

Adult = 4 × $8.90

         = $35.60

Total sales = $986.40

1 group = $5.50 + $35.60

            = $41.10

Number of groups = $986.40 ÷ $41.10

                               = 24

The number of child tickets sold is 24.

a) write the measurement 3086 ml into the place value table below

1) what is 3086 ml into liters

b) write the measurement 9 cm into the place value table below

1) what is 9 cm in mm
2) what is 9 cm in m​

Answers

Answer:

3086 ml ÷ 1000 = 3.086

9 cm × 10 = 90mm

9 cm ÷ 100 = 9m

PLS HELP ASAP ILL GIVE 5 STARS

Answers

Hey there!

(5 * 6) * 4

= 30 * 4

= 120

So you’re basically looking for something that’s equivalent to 120

CHOICE A.

5 * (5 * 6)

= 5 * 30

= 150

So, Choice A is probably NOT the answer you’re looking for!

CHOICE B.

4 * (5 * 6)

= 4 * 30

= 120

Choice B. is probably the answer you’re probably looking for.

So, I recommend you to color it apricot. :)

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Find the sum of the first 20 terms of the sequence 2, 8, 14, 20, . . ..

Answers

Step-by-step explanation:

the rule is obviously to always add 6.

so,

2, 8, 14, 20, 26, 32, 38, 44, 50, 56, 62, 68, 74, 80, 86, 92, 98, 104, 110, 116

Answer:

1180

Step-by-step explanation:

1180 is correct answer

A filing cabinet measures 5 feet high 18 inches wide and 2 feet deep. what is the volume of the filing cabinet?

Answers

Answer: 15 cubic feet

Explanation:

18 inches = 18/12 = 1.5 feet

The cabinet is 5 ft by 1.5 ft by 2 ft. Multiply the values to get 5*1.5*2 = 15

The functions r and s are defined as follows.
r(x) = - 2x-1
s(x)=x2-1
=
Find the value of r(s (3)).

Answers

Answer:

r o s(3)=?

s(x)= x²-1

x=3

s(3)= 3²-1

s(3)= 9-1

s(3)=8

r(8)

r(x)= -2x-1

x=8

r(8)= -16-1

r(8)= -17

r(s(3))= -17

What is the smallest number that is a multiple of both 4 and 6

Answers

Answer:

2

Step-by-step explanation:

4 2x2 is 4

2x3 is 6

sorry for the long type it says 20 character above

The smallest multiple of the numbers would be 2

The graph of an equation with a negative discriminant always has which characteristic? ​

Answers

Answer:

answer below

Step-by-step explanation:

equation with a negative discriminant: negative number under the square root

1. will produce imaginary number "i"

2. the function will get two complex solutions

First National Bank is offering 4.25% interest on an account. Susan makes an
initial deposit of $20,000. Calculate the interest camed over 20 years if the
bank...
a) Calculates the interest using simple interest (I -- Prt).
b) Calculates the interest using compound interest compounded annually.
c) Calculates the interest using compound interest compounded quarterly.
d) Calculates the interest using compound interest compounded monthly.

Answers

The simple interest earned is  $17,000.

The interest earned with annual compounding is $25,978.13.

The interest earned with quarterly compounding is $26,583.59.

The interest earned with monthly compounding is $26,722.72.

The formula that can be used to determine simple interest is: principal x time x interest rate

$20,000 x 20 x 0.0425 = $17,000

The formula that can be used to determine the interest earned with compounding is: Future value - amount invested.

The formula that can be used to determine future value is:

FV = P (1 + r/m)^nm

FV = Future value  

P = Present value  

R = interest rate  

m = number of compounding

N = number of years

Annual compounding = $20,000 x (1.0425)^20 = $45,978.13

Interest earned = $45,978.13 - $20,000 =  $25,978.13

Quarterly compounding = $20,000 x (1 + 0.0425/4)^80 = $46,583.59

Interest earned = $46,583.59  - $20,000 = $26,583.59

Monthly compounding = $20,000 x (1 + 0.0425 /12) ^240 = $46,722.72

Interest earned = $46,722.72 - $20,000 = $26,722.72

To learn more about future value, please check: https://brainly.com/question/18760477

Select the expressions that are equivalent to 7•7•7•7•7•7. I HAVE TO ANSWER 2 MORE ANSWERS

Answers

Answer:

49 * 7'4

Step-by-step explanation:

In a randomly generated list of numbers from 0 to 4, the chance that each
number can occur is 1/5? True or false

Answers

true. you can get 5 digits. 0, 1, 2, 3, 4, or a 5.

A grocery store sells a bag of 6 oranges for $4.38. What is the unit cost?

Answers

Answer:

$0.73

Step-by-step explanation:

Unit cost means per cost. Hence, divide 4.38 by 6 to find the cost of 1 orange.

4.38 ÷ 6

[tex]=\frac{4.38}{6}[/tex]

= 0.73

Therefore, the unit cost is 0.73 dollars.

A car is traveling at a constant speed of 65 miles per hour. Drag each list or statement below to show whether it describes the independent quantity or the dependent quantity.

Answers

Answer:

dependent quantity.

Step-by-step explanation:

Which expression is equal to “seven more than a number multiplied by 9"?
a. 9(x + 7)
b. 7 + 9x
c. 9x - 7
d. 9 + 7x

Answers

Answer:

b

Step-by-step explanation:

a: is not because in the distribution property, the answer would be for a, 9x+63.

b: yes.

c: it's subtracting, not adding. The question states adding

d: 7 is not the one being multiplied in the question, 9 is. Therefore b is right

The explaining is not good but im pretty sure it's b..

Question Write an equation of the line passing through the point A(0, 3) that is perpendicular to the line y = −1/2x−6

Answers

Answer:

The equation would be y=2x+3 I am pretty sure

Step-by-step explanation:

This is because you take the slope which is 2 from the line y=-1/2x-6. To find the slope perpendicular to the line, you need to find the exact opposite of the slope: -1/2, and in this case, it would be 2.

(Ex: if it was -3/4, you would need to use a slope of 4/3 since it is the opposite)

Then you take that slope (2) and the point (0, 3) and put it into "y-y1=m(x-x1)"

y-y1=m(x-x1)

y-3=2(x-0)

-distribute the 2-

y-3=2x-0

-add 3 on both sides-

so equation would be y=2x+3

Not sure if this is all correct, but I hope it helps! :)

12*100 please do it im in a hurry

Answers

Answer: 1200

Step-by-step explanation:

12*100 = 1200

Add the two 0’s in 100 to the end of 12 and get 1200

An angle measures 152° more than the measure of its supplementary angle. What is the measure of each angle?

° and
°


Answers

Answer:

14° and 166°

Step-by-step explanation:

Ok, so a supplementary angle is 180°.

Let's say one angle is x and the other angle is x+152.

We know these angles add up to a supplementary angle (180°) so...

x+(x+152)=180

x+x+152=180

2x+152=180

2x=28

x=14

So now we know one angle is 14°, we also know the other angle is x+152, knowing that x=14 we can plug it in 14+152= 166° for the other angle.

Hope this helps :)

Two supplementary angles when added together need to equal 180 degrees.
Let the first angle = X
The second angle would then be X - 152
Add them together to equal 180:
X + X - 152 = 180
Simplify:
2X -152 = 180
Add 152 to each side:
2X = 332
Divide both sides by 2:
X = 332 / 2
X = 166
The first angle = X = 166 degrees.
The second angle = X - 152 = 166 - 152 = 14 degrees.
The angles are 166 and 14

Can anybody help me with these three problems thank you

Answers

Answer:

1) 1/7

2) 1/3

3) 1/4

Step-by-step explanation:

1) Since there are 7 days in a week it can be expressed as the fraction 1/7

2) Since there are 3 feet in a yard it can be expressed as the fraction 1/3

3) Since there are 4 quarts in a gallon it can be expressed as the fraction 1/4

help!!!! PLEASEEE!!! ​

Answers

Answer:

it is a little blurry I cannot tell what d is

Write an expression that is the product of two factors and is equivalent to -2x - 10

PLEASE HELP

Answers

Answer:

-2(x + 5)

Step-by-step explanation:

A video store offers two yearly pricing plans: A. $10.00 charge plus $2.50 for each movie rented. B. $4.00 charge (total) for the first 4 movies rented plus $3.00 per movie. How many movies will a person need to rent in order to spend an equal amount of money using either plan?

Answers

Answer:

  36

Step-by-step explanation:

The cost of renting n movies using Plan A is ...

  c = 10 +2.50n

The cost of renting n movies using Plan B is ...

  c = 4 +3(n -4) . . . . for n ≥ 4

The two costs are equal when ...

  4 +3(n -4) = 10 +2.50n

  0.50n = 18 . . . . . . . . . . add 8 -2.50n and simplify

  n = 36 . . . . . . . . . . multiply by 2

A person would have to rent 36 movies to spend the same using either plan.

A group of friends is sharing 25 pounds of berries. Type the answer to each question in the boxes below. If each friend received of a pound of berries, how many friends are shar berries? 2 friends If 5 friends are sharing the berries, how many pounds of berries does each receive? pound(s)​

Answers

For the first 25 If they all share 25 pounds to a pound each the second I don’t understand
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