Which of the following point-slope form equations could be produced with the points (4, 5) and (-3, -5)?

Answers

Answer 1

Given:

The two points are (4,5) and (-3,-5).

To find:

The point-slope form equations could be produced with the given points.

Solution:

Slope formula:

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

The two points are (4,5) and (-3,-5). So, the slope of the line is:

[tex]m=\dfrac{-5-5}{-3-4}[/tex]

[tex]m=\dfrac{-10}{-7}[/tex]

[tex]m=\dfrac{10}{7}[/tex]

The point slope form of a line is:

[tex]y-y_1=m(x-x_1)[/tex]

Where, m is the slope of the line.

The slope of the line is [tex]m=\dfrac{10}{7}[/tex] is passes through the point (4,5). So, the point slope form is:

[tex]y-5=\dfrac{10}{7}(x-4)[/tex]

The slope of the line is [tex]m=\dfrac{10}{7}[/tex] is passes through the point (-3,-5). So, the point slope form is:

[tex]y-(-5)=\dfrac{10}{7}(x-(-3))[/tex]

[tex]y+5=\dfrac{10}{7}(x+3)[/tex]

Therefore, the point slope form of the given line is either [tex]y-5=\dfrac{10}{7}(x-4)[/tex] or [tex]y+5=\dfrac{10}{7}(x+3)[/tex].


Related Questions

CAN SOMEONE PLEASE ANSWER THIS FOR ME

Answers

Ani do niot know lol

Step-by-step explanation:

Answer:

J. 20ft

Step-by-step explanation:

1 2/3 = 5/3

5/3 * 12/1 = 60/3

60/3 = 20

What is the value of x?

Answers

Answer:

122

Step-by-step explanation:

122 + 58 = 180

Answer:

x=122°

Step-by-step explanation:

58° and x form a straight angle, which is 180°.

x+58°=180°

x=180°-58°=122°

How many 2/5 cup servings are in 9/5 cups of ice cream? (in simplest fraction form)​

Answers

Answer: 5/2 because 2/5 times 4 is 8/2 plus 1/2 is 9/2

Step-by-step explanation:

write an equivalent expression 8(y-7z+1)

Answers

Answer:

8y−56z+8

Step-by-step explanation:

help please triangles and trig

Answers

Answer:

[tex]\sin L = \frac{3}{5}[/tex]

[tex]\tan N = \frac{4}{3}[/tex]

[tex]\cos L = \frac{4}{5}[/tex]

[tex]\sin N = \frac{4}{5}[/tex]

Step-by-step explanation:

Given

The above triangle

First, we calculate the length LM using Pythagoras theorem.

[tex]LN^2 = LM^2 + MN^2[/tex]

[tex]10^2 = LM^2 + 6^2[/tex]

[tex]100 = LM^2 + 36[/tex]

Collect like terms

[tex]LM^2 = 100 - 36[/tex]

[tex]LM^2 = 64[/tex]

Take positive square root

[tex]LM=8[/tex]

Solving (a): Sin L

[tex]\sin L = \frac{Opposite}{Hypotenuse}[/tex]

[tex]\sin L = \frac{MN}{LN}[/tex]

[tex]\sin L = \frac{6}{10}[/tex]

Simplify

[tex]\sin L = \frac{3}{5}[/tex]

Solving (b): tan N

[tex]\tan N = \frac{Opposite}{Adjacent}[/tex]

[tex]\tan N = \frac{LM}{MN}[/tex]

[tex]\tan N = \frac{8}{6}[/tex]

Simplify

[tex]\tan N = \frac{4}{3}[/tex]

Solving (c): cos L

This calculated as:

[tex]\cos L = \frac{Adjacent}{Hypotenuse}[/tex]

[tex]\cos L = \frac{LM}{LN}[/tex]

[tex]\cos L = \frac{8}{10}[/tex]

Simplify

[tex]\cos L = \frac{4}{5}[/tex]

Solving (d): sin N

This is calculated using:

If [tex]a + b = 90[/tex]

Then: [tex]\sin a = \cos b[/tex]

So:

[tex]\sin N = \cos L[/tex]

[tex]\sin N = \frac{4}{5}[/tex]

how many 5/8 pound bags does it take to get 16 pounds of soil?

Answers

Answer:

10

Step-by-step explanation:

25.6 bags or 25 3/5 bags




HELP ILL GIVE BRAINLIEST AND NO LINKS

Answers

Answer:

x<9

Step-by-step explanation:

I’ll do this again please answer these pages I will give all of my points please
Try your best to read them do the ones that you can read I can manage
Question 15 says a can Of tomato soup has a net weight of 8 ounces of soup how many grams are in the can of soup

Answers

I can't read these but is this a school issued textbook of some sort? I might be able to help if so *MIGHT*

Answer:

DID NOT INCLUDE THE ONES I CANT SEE. 3.A   8.A    9.B    10.B   11.D   12.A   13.A .  14.B   16.D   17.C   18.B    19.A     20.A(Not 100% sure on 20)

Step-by-step explanation:

Dont have time to explain

guys I, need help with this please help it is due today

Answers

4. .5 per ounce so 3.5 for 7 ounces
5. 7.5 degree every hour so 22.5 for 3 hours
6. 61 miles per hour so 305 for 5 hours

Subtract -5x²+10x-1from6x²-x+3

Answers

Answer:

it would be -11x^2+11x-4

find the area of the triangle

!NO LINKS, NO FILES!

please :)

Answers

(Base * height) divided by 2
In this case the area of the triangle is 1125 cm^2

Answer:

1125cm²

Step-by-step explanation:

The answer is in the link     -----> www://jk.com lol

30 x 75 ÷ 2 = 1125cm²

witch function defines (g . f)(x)

f(x)=log(5x)
g(x)=5x+4

a.) (g . f) (x)=5x log(5x) + 4log(5x)
b.) (g . f) (x)=5x log(5x)+ 4
c.) (g . f) (x)=5x + 4 +log(5x)
d.) (g . f) (x)=5x - 4 - log(5x)​

Answers

Answer:its A

Step-by-step explanation:

I ask my teacher so its A

please help i’ll give brainliest

Answers

In a 45 - 45 - 90 right triangle, the hypotenuse is √2 · legs = hypotenuse, so legs=[tex]\frac{\sqrt{5}}{\sqrt{2}}[/tex] and to rationalize the denominator all we have to do is multiply the numerator and denominator by √2. [tex]\frac{\sqrt{10}}{2}[/tex].

The answer is radical 5/2

Tamara invested $15,000 in an account that pays 4% annual simple interest. Tamara will not
make any additional deposits or withdrawals. How much Interest will Tamara earn on her
Investment at the end of 3 years?
F $1,800
G $600
H $450
J $1.873

Answers

Answer:

F $1800

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 4%/100 = 0.04 per year,

then, solving our equation

I = 15000 × 0.04 × 3 = 1800

I = $ 1,800.00

The simple interest accumulated

on a principal of $ 15,000.00

at a rate of 4% per year

for 3 years is $ 1,800.00.

Answer:

F. $1800

Step-by-step explanation:

Simple interest means that a percent of the initial amount will be paid back each year, this amount will not change from year to year. To calculate the simple interest over a given unit of time, multiply the amount by the interest rate in decimal form, then multiply that value by the time span that this was taken over. The result will be the amount earned.

The following formula can be used to describe this scenario,

[tex]simple\ interest=(time)((amount)(interest\ rate))[/tex]

Substitute,

[tex]=(3)((15000)(4))[/tex]

To convert a percent to decimal form, divide the percent by (100)

[tex]=(3)((15000)(0.04))[/tex]

[tex]=(3)(600)\\\\=1800[/tex]

HELP 10 mins left HELP HELP
The graph shows the time spent by students A through H on their homework assignments. Which student spent the least amount of time per assignment
A) a
B) d
C) g
D) h

Answers

Answer:

Student H

Step-by-step explanation:

He did the most amout of assiments in the least amout of time

Answer:

Student G

Step-by-step explanation:

They did 7 assignments in 8 hours, while student B did 3 in 8 hours

I think

What is the correct formula to find the sum of the finite geometric series below?

[tex]\displaystyle 2 + \frac{2}{3} + \frac{2}{9} + \ ... \ + \frac{2}{3^6}[/tex]

Answers

We are given the Geometric Series:

[tex]2 + \frac{2}{3} + \frac{2}{9} + \frac{2}{27} + \frac{2}{81} + \frac{2}{243} + \frac{2}{729}[/tex]

which can be rewritten as:

[tex]2 + \frac{2}{3} + \frac{2}{3^{2} } + \frac{2}{3^{3}} + \frac{2}{3^{4}} + \frac{2}{3^{5}} + \frac{2}{3^{6}}[/tex]

here, we can see that every term is (1/3) times the last term

Hence, we can say that the common ratio of this Geometric Series is 1/3

Finding the Sum:

We know that the sum of a Geometric Series is:

[tex]S_{n} = \frac{a(r^{n}-1)}{r-1}[/tex]

(where r is the common ratio, a is the first term, and n is the number of terms)

another look at the given Geometric Series tells us that the first term is 2 and the number of terms is 7

plugging these values in the formula, we get:

[tex]S_{n} = \frac{2((1/3)^{7}-1)}{(1/3)-1}[/tex]

[tex]S_{n} = \frac{-1.99}{-0.67}[/tex]

Sₙ = 2.97

Step-by-step explanation:

[tex] \tt2 + \frac{2}{3} + \frac{2}{ {3}^{2} } + \frac{2}{ {3}^{3} } + \frac{2}{ {3}^{4} } + \frac{2}{ {3}^{5} } + \frac{2}{ {3}^{6} } [/tex]

r = [tex]\tt{a_2 \div a_1}[/tex]

r = [tex]\tt{\frac{2}{3} \div 2}[/tex]

r = [tex]\tt{\bold{\frac{1}{3}}}[/tex]

Soo :

[tex] \sf s_n = \frac{a( {r}^{n} - 1) }{r - 1} [/tex]

[tex] \sf s_7 = \frac{2(( \frac{1}{3} ) {}^{7 - 1} - 1) }{( \frac{1}{3} - 1) } [/tex]

[tex] \sf s_7 \approx \bold{ \underline{2.97}}[/tex]

Can you help me please thank you

Answers

Answer:

-3ab, -9x^2 -13x

Step-by-step explanation:

45a^4b^3 - 90a^3b/ 15a^2b

-45ab^2/15a^2b

-3ab

13) (x-7x^2) - (2x^2+14x)

-9x^2 -13x

HELP WILL GIVE BRANLIEST

Answers

Answer:

The answer would be B  [tex]120ft^{3}[/tex]

Step-by-step explanation:

volume of triangular prism is 30 and volume of the cube is 90 :)

what is 8w+5=4(2w+1)

Answers

Answer:

No solution

Step-by-step explanation:

1. Distribute the right side.

8w+5=8w+4

2. This has no solution.

James wanted to fence in his backyard for his dog Remi. The yard has a length of 12 feet and a width of 4 feet. What is the area and perimeter of the fenced yard?



A= P =

Answers

Answer:

The area of the fenced yard is 48 feet sq. and the perimeter is 32 feet.

Step-by-step explanation:

I hope this helps! Have a great rest of your day!

pls help 20 points easy problem

Answers

Answer:

A is the answer

Step-by-step explanation:

-X* - Y= XY

A coat cost $37.88 at Walmart. The sales tax is 5.5%. What is the total amount of the coat including the sales tax?​

Answers

$39.96 should be ur answer

4 feet ≈ how many meters Round to the nearest hundredth

Answers

1.22 meters equals 4 feet

The confidence interval for the sample regression function slope A) can be used to conduct a test about a hypothesized population regression function slope. B) can be used to compare the value of the slope relative to that of the intercept. C) adds and subtracts 1.96 from the slope. D) allows you to make statements about the economic importance of your estimate.

Answers

Answer:

A) can be used to conduct a test about a hypothesized population regression function slope.

Step-by-step explanation:

A least squares regression line is a standard technique in regression analysis used to make the vertical distance obtained from the data points running to the regression line to become very minimal or as small as possible.

In Mathematics, residuals are used to measure or determine whether or not the line of regression is a good fit or match for the data by subtracting the difference between them i.e the predicted y value and the actual y value, for the x value respectively.

The confidence interval for the sample regression function slope can be used to conduct a test about a hypothesized population regression function slope.

. Three employees each clocked a different number of hours worked this week.
Employee Hours Worked Total Earned (in dollars)
A 35 $420
B 22 $242
C 16 $216
Which employee has the highest earnings per hour?
A) Employee A
B) Employee B
C) Employee C

Answers

Answer:

C IS THE ANSWER

C im pretty sure is the answer

Find the surface area of the following figure with the given dimension

Answers

Answer:

435 in.²

Step-by-step explanation:

Surface area of the square pyramid = area of the square base + ½(Perimeter of base)(slant height)

Area of base = s²

s = 15 in

Area = 15² = 225 in²

Perimeter of the base = 4(15) = 60 in

Slant height = 7 in

Surface Area = 225 + ½(60)(7)

= 435 in.²

A manager at a gas station realized that there appeared to be a quadratic relationship between the price he charged for a doughnut and the number he sold for the day.

Using a quadratic regression model base on the data, how many doughnuts would be predicted to sold if he charges $0.85 for a doughnut?

Answer choice:
a) ≈22
b) ≈25
c) ≈29
d) ≈30

Answers

He sold 28 at 0.75 cents and sold 21 at 0.99 cents.

0.85 is between 0.75 and 0.99 so he sells between 21 and 28 donuts.

0.85 is closer to 0.75 ,so the number should be closer to28.

The answer should be b)25

Sarah is trying to pick out an outfit for the first day of school. She can choose from 2 pairs of pants, 8 t-shirts, and 2 pairs of shoes. How many different outfits does Sarah have to choose from?

Answers

Answer:

5 outfits

Step-by-step explanation:

The number of many different outfits does Sarah have to choose from should be 32.

Calculation of the number of different outfits;

Since  She can choose from 2 pairs of pants, 8 t-shirts, and 2 pairs of shoes.

So here the number of distinct outfits should be like

[tex]= 2\times 8 \times 2[/tex]

= 32

hence, The number of many different outfits does Sarah have to choose from should be 32.

Learn more about number here: https://brainly.com/question/24604425

Will give brainly if answer is right

Answers

Answer:

28 degrees

Step-by-step explanation:

The given figure is an octagon. The sum of interior angles in an octagon is 1080. Thus, one can form an equation, add up all of the angle measures, and set the equation equal to 1080. Then simplify and use inverse operations to find the value of the parameter (t).

(150) + (3t + 34) + (5t) + (5t) + (3t + 37) + (7t - 49) + (5t - 16) + (5t) = 1080

Simplify,

33t + 156 = 1080

Inverse operations,

33t + 156 = 1080

      -156       -156

33t = 924

/33     /33

t = 28

What is the distance between the points (5,7) and (3, 4) on the coordinate
plane?
A. 12.04 units
B. 7.28 units
C. 3.61 units
D. 8.54 units

Answers

Answer:

C) 3.61 units

Step-by-step explanation:

5 - 3 = 2

7 - 4 = 3

distance²  = 2² + 3³ = 4 + 9 = 13

distance = √13 = 3.61

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