write the point-slope form of the equation of the line through the given points through (0,-1) and (3,-3)

Answers

Answer 1

[tex]\text{Given that,}\\\\(x_1,y_1) = (0,-1) ~ \text{and}~ (x_2, y_2) = (3,-3)\\\\\text{Slope, m}= \dfrac{y_2 -y_1}{x_2 -x_1} = \dfrac{-3+1}{3-0} = -\dfrac 23\\\\\\\text{Point slope - form}\\\\y-y_1 = m(x-x_1)\\\\\implies y - (-1) = -\dfrac 23 (x -0)\\\\\implies y +1 = -\dfrac 23 x[/tex]


Related Questions

What is the equation of the line that passes through the point (-5, -2) and
has a slope of -6/5

Answers

Answer:

y=-6/5x-8

Step-by-step explanation:

Because you know the slope of the line, you can put it into the slope-intercept form equation:

y=-6/5(x) +b

Then plug in the x and y values which are -5 and -2:

-2=-6/5(-5) +b

Now you can solve for b:

-2=6 +b

-8=b

Now that you know b and already have the slope, plug those into the equation:

y=-6/5x -8

5^2 + (6.7 - 3.1)


plz help

Answers

We begin by calculating the expression inside the parentheses

[tex] {5}^{2} + (6.7 - 3.1) \\ {5}^{2} + (3.6)[/tex]

Simplify exponents and square roots

[tex] {5}^{2} + 3.6 \\ 25 + 3.6 \\ = 28.6[/tex]

Mrs. Arnold asked her 30 Geometry students who owned a pet. 16 students own a dog, 12 students have a cat and 6 students did not have a cat or a dog. Thomas wrote the information in a Venn diagram but made an error. Explain where the error occurred.

Answers

Answer:

The number is out of the Venn Diagram. The number is supposed to be in the middle if the middle means the students that don’t have a cat nor dog. Hope this helps and hope you pass.


Answer:
Thomas was to label the center of the diagram for the students not owning a pet.
With 6 at its center

which of the follwing equations has the same solution as 3x-5=5x+11?
a. 2x-5=11 b. 3x=5x+6 c. 3x+6=5x d. -5=2x+11

Answers

Answer:

-5 = 2x + 11

Step-by-step explanation:

3x - 5 = 5x + 11

→ Minus 5x from both sides

-2x - 5 = 11

→ Add 5 to both sides

-2x = 16

→ Divide both sides by -2

x = -8

Joe has eaten 3/5 of a pizza. Jane has eaten 1/9 of a pizza . How many times more pizza has joe earthen then Jane

Answers

Answer:

5/10 more

Step-by-step explanation:

express the following ratio in the simplest form 7.2m to 24cm​

Answers

Answer:

Our simplified ratio is 3:10.

Step-by-step explanation:

We are given this ratio:

7.2:24

We can tell that 7.2:24 = 7.2/24. Now, let's simplify.

=> 7.2/24 = 6/20=> 6/20 = 3/10

Our simplified fraction is 3/10. Now, let's turn it back to ratio form.

=> 3/10 = 3:10

Conclusion:

Therefore, our simplified ratio is 3:10.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

how do you solve this question

Answers

Solution:.

Let the ceilings be a & b

and the distance from one corner of the ceiling to the opposite be c

then using Pythagoras theorem

[tex]c = \sqrt{a {}^{2} + b {}^{2} } \\ c = \sqrt{16 {}^{2} + 12 {}^{2} } \\ c = \sqrt{256 + 144 } \\ c = \sqrt{400} \\ c = 20[/tex]

hence ,c .°. the distance from one corner of the ceiling to the opposite is 20

Tom has a piece of wood that is 10 and 1/3 inches long. He divides the wood into pieces that are 2 and 1/5 inches long. How many pieces will he have?

Answers

I am sorry I needed points

Bradley has $48,350 in a savings account that earns 3% interest per year. How much will he have in 24 months?

Answers

Answer:

48350.06

Step-by-step explanation:

nvm I'm wrong is there a way to delete answer

Use the simple interest formula:

Total = start value x( 1+ (interest rate x time In years))

Total = 48350 x (1+(0.03 x 2))

Total = 48350 x 1.06)

Total = $51,251

Is the answer 8? If so, what is the unit?

Answers

Step-by-step explanation:

that depends on the expected unit rate.

there are infinite correct answers to this as it is stated. including the initial numbers.

2 miles in 0.25 hours is by itself already a unit rate :

2 m/0.25h

but if we want it to be the classical miles per hour rate for speed, then we need to calculate how many miles she would have run with the same speed in 1 hour.

when we change the denominator of a fraction or ratio by multiplication, but want to keep the overall value of the fraction unchanged, then we need to apply the same factor also to the numerator.

what is the factor for 0.25 hours to create 1 hour ?

you know that 0.25 = 1/4.

0.25 × f = 1

f = 1/0.25 = 1 / 1/4 = 4

we need to multiply by 4 to get 1 hour as denominator.

therefore, by keeping the ratio value unchanged, the whole operation is then

2 m/0.25h × 4/4 = 8 m/1 hour = 8 m/h

the answer is therefore only 8, if we required mph or m/h as unit rate.

we could just as easily request "miles / 10 hours", and we would get 80 as answer. or 0.13 as per 0.13 miles/minute. and so on. infinite possibilities.

you see ? the question in that form is actually not complete.

If someone can ride a skateboard 2 miles in 10 minutes how many miles can still ride the skateboard and 1.5 miles

Answers

Answer:

7 and a half minutes. have a good one.

I NEED THIS ANSWERED ASAP
Which point is a solution to the system of equations?y=2x+2y=3x

A: (0,2)
B: (0,0)
C: (2,6)
D: (6,2)

Answers

Answer: B

Step-by-step explanation:

Alex wants to buy the same number of stamps and envelops. Stamps are sold in packs of 14 and envelops are sold in the packs of 10.
What is the least number of each he could buy to have the same number of stamps and envelops?

Please show work

Answers

Answer:

70

Step-by-step explanation:

the least common multiple of 10 and 14 will be the answer

the prime factorization of 10 is 2 and 5

the prime factorization of 14 is 2 and 7

so you can multiply the number in common, 2, by the ones not common, 5 and 7

2 x 5 x 7 = 70

If the 3rd term in an arithmetic sequence is 10 and the sum of the 1st 6 terms is 72. The fifth term is.

Answers

Answer:

5th term = 18

Step-by-step explanation:

a1    +    a1+d      a1 + 2*d      a1+3d      a1 + 4*d     a1 + 5d

a1 + 2d = 10

6*a1 + 15d = 72

Multiply the first equation by 6

6a1 + 12d = 60

Write the above equation underneath the second equation

6a1  + 15d = 72

6a1 + 12d = 60                Subtract

3*d = 12                            Divide by 3

d = 12/3

d = 4

a1 + 2d = 10

a1 + 2*4 = 10

a1 + 8 = 10                        Subtract 8 from both sides

a1 - 8 = 10- 8

a1 = 2

The fifth term is

t5 = 2 + 4*4

t5 = 18

my Christmas present to you​

Answers

Answer:

TY

Step-by-step explanation:

what is the perimeter of 4in. 4in.

Answers

Perimeter = 4 × side

[tex] = 4 \times 4 \\ = 16in[/tex]

The perimeter of a 4-inch square is 16 inches.

How do I solve this triangle?

Answers

Answer:

check the length and the angles and check the height of it

You deposit $50 in your saving account and then add $20 per month. Would this equation be linear or exponential?
Group of answer choices

Exponential

Linear

Answers

Linear because you are adding the same amount every time

Grocery Store A is selling bananas for $0.75 for 12 pound. Grocery Store B is selling 5 pounds of bananas for $3.75.
Which store is offering the best unit rate? Show your work.

Answers

Step-by-step explanation:

3.75/5=0.75

75 cents per banana for B

0.75/12=0.0625

0.0625 per banana for A

grocery a has the best and lowest unit price.

Bob is buying groceries at the store. The price before tax is $57, and after tax the total is $62.91. What is the sales tax applied to the groceries? Round to the nearest hundredth.​

Answers

5.91

You subtract $57 from $62.91 to get your answer

A treasure map says that a treasure is buried so that it partitions the distance between a rock and a tree in a 5:9 ratio. Marina traced the map onto a coordinate plane to find the exact location of the treasure. X = (StartFraction m Over m n EndFraction) (x 2 minus x 1) x 1 y = (StartFraction m Over m n EndFraction) (y 2 minus y 1) y 1 What are the coordinates of the treasure? If necessary, round the coordinates to the nearest tenth. (11. 4, 14. 2) (7. 6, 8. 8) (5. 7, 7. 5) (10. 2, 12. 6).

Answers

The location of the treasure on the treasure map is (b) (7.6,8.8)

The ratio is given as:

[tex]m : n = 5 : 9[/tex]

The coordinates of the rock and the tree are:

[tex]Rock =(3,2)[/tex]

[tex]Tree = (16,21)[/tex]

The x and y coordinates of the location of the treasure are:

[tex](x,y) = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})[/tex]

So, we have:

[tex](x,y) = (\frac{5 \times 16 + 9 \times 3}{5 + 9},\frac{5 \times 21 + 9 \times 2}{5 + 9})[/tex]

[tex](x,y) = (\frac{107}{14},\frac{123}{14})[/tex]

[tex](x,y) = (7.6,8.8)[/tex]

Hence, the location of the treasure is (b) (7.6,8.8)

Read more about line segment ratios at:

https://brainly.com/question/14382744

Help please I’ll give the highest point ! :)))) tysm I need it done by 10:20

Answers

Answer:

hope it helps you.........

Answer:

10/14 - 7/14 = 3/14 :D

Step-by-step explanation:

you have to find the common denominator, in this case its 14. then, whatever number you multiplied the denominator by, you have to multiply the numerator by. so, 5/7x2= 10/14, and 1/2x7 = 7/14, then its just 10-7 which equals 3

I’m stuck on this question, can anybody help?

Answers

Answer: 1/4

Step-by-step explanation:

Noon is 12:00

Supposing that each number is one hour

15 minutes = 1/4 hrs

And therefore 12:15 PM is represented as 1/4

what’s the distance between 4 and 20

Answers

Answer:

16

Step-by-step explanation:

The distance is 16 because when 4 and 20 are on a number line the distance can be measured by subtracting. So 20 minus 4 = 16. :)

16 is the answer because 20-4=16

5 ex to the power of 2. minus 36 ex. + 36. = 0

Answers

Answer:

The answer is x=6

A rectangular field is fully enclosed with 218 meters of fencing. The length of the field is

17 meters longer than the width, w.

Answers

The length and width of a rectangular field fully enclosed with 218 metes fencing  are 63 meters and 46 meters respectively.

The perimeter of a rectangle is the sum of the whole four sides. Therefore, the perimeter of a rectangle is defined as follows:

perimeter = 2(l + w)

where

l = length

w = width

perimeter = 218 meters

The length of the field is  17 meters longer than the width, w. Therefore, the length is defined as follows:

l = 17 + w

The length and the width can be calculated as follows:

218 = 2(l + w)

218 = 2(17 + w + w)

218 = 34 + 4w

218 - 34 = 4w

184 = 4w

divide both sides by 4

w = 184 / 4

w = 46 meters

length = 17 + 46

length = 63 meters

learn more on rectangle here: https://brainly.com/question/15989799?referrer=searchResul

The range of f(x) = |x| is y ≥ 0. If a < 0 and b ≠ 0 for g(x) = a|x| + b, what is the range of function g?

Answers

Answer:

blue or maybe green try purple

HELP ASAP NO LINKS

Amir invested money in an account where interest is compounded every year. He made no withdrawals or deposits.

The function A(t) = 575(1 + 0.06) represents the amount of money in the account after years. How much money did Amir originally invest?

O A. $646.07

OB. $609.50

OC. $575.00

O D. $500.00

Answers

Answer: the answer is B which is $609.50

Step-by-step explanation:

I mean the equation is already set up all there is to do is solve put it in the calculator and you should get $609.50

Answer:

What that other person said

Here’s the zoomed graph!

Answers

Answer:

10x + 15

Step-by-step explanation:

Answer:

I dont know what the question is asking you but im assuming it was asking you what is the equation:

Slope = 10.

Equation: y=10x+15

Y-intercept: 15

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

Hope this helps!

Step by step? Just ask.

Doubt? --> comment section.

Happy Holidays! (✿◡‿◡)

If e=9, find the value of 4e

Answers

Answer:

y = a e bx, b > 0

Step-by-step explanation:

took this test and got an A++

Answer:

36

Step-by-step explanation:

if e=9 then you multiply 4 by 9. E is known as a varible. Varibles are a way to substitue numbers you do not know.

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