Write the point-slope form of the equation of the line through the points (1,-1) and (5,-2)

Write The Point-slope Form Of The Equation Of The Line Through The Points (1,-1) And (5,-2)

Answers

Answer 1

Answer:

y + 1 = -1/4 (x - 1) Answer choice C is correct.

Step-by-step explanation:

Point Slope Formula: y - y1 = m (x-x1)

Your points:

(1,-1) and (5,-2)

You need to find the slope first:

Use the formula: y2 - y1 / x2 - x1

Your y2 is -2

y1 is -1

x2 is 5

x1 is 1

-2 - (-1)/5-1

-2 + 1 /4

-1/4 is your slope and the "m" in the formula.

Now we know our y1 is -1 and x1 is 1 you just need to plug them in

y + 1 = -1/4 (x - 1)

Notice that I didn't write y - (-1) this is because the negatives cancel into positives.

Answer choice C is correct.

Answer 2

Answer:

c. [tex]y+1=-\frac{1}{4} (x-1)[/tex]

Step-by-step explanation:

Hi there!

We are given the points (1, -1) and (5, -2)

We want to find the equation of that line using those points, in point-slope form

Point-slope form is written as [tex]y-y_1=m(x-x_1)[/tex], where m is the slope and [tex](x_1, y_1)[/tex] is a point

First, let's find the slope of the line

The formula for the slope (m) calculated from 2 points is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points

We already have everything we need to find the slope, but let's label the values of the points to avoid any confusion when calculating.

[tex]x_1=1\\y_1=-1\\x_2=5\\y_2=-2[/tex]

Now substitute:

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

m=[tex]\frac{-2--1}{5-1}[/tex]

Subtract

m=[tex]\frac{-2+1}{5-1}[/tex]

m=[tex]\frac{-1}{4}[/tex]

The slope of the line is -1/4

Now substitute this into the formula to find point-slope form (remember that this is [tex]y-y_1=m(x-x_1)[/tex], and that m is the slope value)

Therefore:

[tex]y-y_1=-\frac{1}{4} (x-x_1)[/tex]

Now, let's substitute the values of [tex]x_1[/tex] and [tex]y_1[/tex], which we found earlier (which are 1 and -1 respectively) into the equation

[tex]y--1=-\frac{1}{4} (x-1)[/tex]

Simplify

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

This equation matches option c, which is the answer.
Hope this helps!


Related Questions

10+500000000 wats the answer

Answers

Answer:

500,000,010

Step-by-step explanation:

The 10 would be added to the last 2 digits (00) of the number. Therefore, the last 2 digits (00) plus 10 would be 10. The remainder of the number would remain the same, making the answer: 500,000,010

write an expression to m+m+m+m that is a product of a coefficient and a variable

Answers

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Answers

Answer:

904.78 cubic inches

Step-by-step explanation:

Since a beach ball is a sphere, use the formula for volume, V = 4/3 * pi * r^3 to find the volume of the beach ball, using 6 for radius since diameter is two times the radius and the diameter is 12 inches. 4/3 * pi * 6^3 = 904.78, so that many cubic inches of air would be needed to inflate the beach ball.

Hopefully this helps- let me know if you have any questions!

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Answers

Answer: 1/2

Step-by-step explanation:

What would you do if fear was not a factor and you could not fail?`

i know it's not a maths question but let's try

Answers

Answer:

Well, i would just say you just had to do your best in everything that you do. No pressure , no stress don't overwork yourself and simply take action. Then you will have a chance to get what you want because you tried your best to get to it. Although sometimes we don't get what we want, atleast we'll be closer. As they say, 'Aim for the sun to reach the moon"

Step-by-step explanation:

You're welcome


Rewrite the expression x -3/11
in radical form.

Answers

Hey i put the answer in the picture

Answer:

11x-3

11

Step-by-step explanation:

and that's the answer

A radioactive substance decays exponentially. A scientist begins with 190 milligrams of a radioactive substance. After 19 hours, 95 mg of the substance remains. How many milligrams will remain after 36 hours?

Answers

Answer:

  51 milligrams

Step-by-step explanation:

Exponential growth or decay can be modeled by the equation ...

  y = a·b^(x/c)

where 'a' is the initial value, 'b' is the "growth factor", and 'c' is the time period over which that growth factor applies. The time period units for 'c' and x need to be the same.

In this problem, we're told the initial value is a = 190 mg, and the value decays to 95 mg in 19 hours. This tells us the "growth factor" is ...

  b = 95/190 = 1/2

  c = 19 hours

Then, for x in hours the remaining amount can be modeled by ...

  y = 190·(1/2)^(x/19)

__

After 36 hours, we have x=36, so the remaining amount is ...

  y = 190·(1/2)^(36/19) ≈ 51.095 . . . . milligrams

About 51 mg will remain after 36 hours.

A gas tank holds exactly 14 gallons of gas. If the tank is 2/3 empty, how many gallons remain in the tank?

Answers

2/3 empty would mean 1/3 of the total would remain:


14 gallons x 1/3 = 4 2/3 gallons are left in the tank

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Answers

Answer:

y = -13x+26

Step-by-step explanation:

13x+y=26

y= -13x+26

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Answers

Answer:

Step-by-step explanation: Your answer will be -10 because even though -10 is much lower than 15 it’s still closer to sea level.

Find the LCM of 20, 35 & 50.

Answers

Answer:

Answer: LCM of 20,35 and 50 is 1400

Step-by-step explanation:

eometry Part 4 - Lesson 1 Assessment - EDCP.MA004.D
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1
2 3 4 5
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What is the area of a sector of a circle with a central angle of measure 180° and whose radius is 5
cm? Leave your answer in terms of I.

o
ле?
o com
35
O 2 cm

Answers

Answer: it would be 34

Step-by-step explanation:

An assembly line consists of 21 tasks grouped into 5 workstations. The sum of the 21 task times is 90 minutes. The largest assigned cycle time is 20 minutes. What is the efficiency of this line?

Answers

Answer:

ok

Step-by-step explanation:

210 cartons is __% of 60 cartons

Answers

Answer:

should definitely be 28.56

1: The number of hours, h, spent studying and the score s, on a test (find the independent variable and the dependent variable.

Answers

Answer:

independent - number of hours (h)

dependent - the score (s)

Step-by-step explanation:

I well give u brainliest
What are the x- and y-intercepts for the linear equation 2x – 4y = 8 ?

Question 6 options:

(4,0) and (0,-2)


(2,0) and (0,4)


(-2,0) and (4,0)


(-2,0) and (0,4)

Answers

The answer is a. (4,0) and (0,-2)

Students from four classes are in talent show. A. There are 28 students in Ms. Fiona's class. The ratio of her student who are in the talent show to those who are not in the talent show is 2:5. How many of Ms. Fiona's students are in the talent show? B. Mr. Juan has 24 students in his class. Some of his students are also in the talent show. Explain why it is not possible for exactly 24% of the students in Mr. Juan's class to be in the talent show. C. The rest of the students in the talent show are from Mrs. Lee's class and Mr. Greg's class. • Mrs. Lee has 23 students in her class, and 7 of them are in the talent show. There are 4 more students from Mr. Greg's class than from Mr. Juan's class in the talent show. The number of students in the talent show from Mrs. Lee's class is greater than the number from Mr. Juan's class and fewer than the number from Mr. Greg's class. In all, 30% of the students in these three classes are in the talent show, Show or explain why there must be exactly 23 students in Mr. Greg's class. As part of the explanation, determine how many students from Mr. Greg's class are in the talent show​

Answers

Answer:

B

Step-by-step explanation:

i had this question on my test

Find the area. 9 cm 3 cm 12 cm 15_cm 3 cm​

Answers

Answer:

What shape is the object in question?

Ms. Gardner is thinking of a number
The number is even.
It is not divisible by 6
It is not divisible by 7
it is not greater than 81
It is not less than 64

Answers

Answer:

74

Step-by-step explanation: 74 is not divisible by 6 or 9not nor 7 and it's less than 81 and greater than 64

Solve for x
Can you pls help me?

Answers

Answer:

6x+50=92

Step-by-step explanation:

The x is for how much the classes cost plus the amount they charged her for the gear.

HELPPPPP PLEASE I DONT UNDERSTANDDDD

Answers

Answer:

Step-by-step explanation:

Solve for the equation equal to y

[tex]3x+4y=12\\4y=-3x+12\\y=\frac{-3}{4}+\frac{12}{4}[/tex]

The slope here is -3/4. The slope of a line perpendicular to the original has a negated and inverted slope. Therefore the slope is 4/3

Find the volume. Please help! Thanks!
hehe

Answers

Volume of a Square Pyramid: 1/3 x length x width x height

Length = 2

Width = 2

Height = 3

Volume = 1/3 x 2 x 2 x 3

Volume = 1/3 x 4 x 3

Volume = 1/3 x 12

Volume = 4

Volume = 4 cm^3

Hope this helps!

250 gram as a percentage of 1 kg ​

Answers

Hey there!

Answer: 25%

[tex] \rightarrow \: (\sf{ \frac{250}{1000} ) \times 100}[/tex]

[tex] \rightarrow \: ( \sf{0.25) \times 100}[/tex]

[tex] \rightarrow \: \sf{ = 25\%}[/tex]

Answer:

25%

Step-by-step explanation:

the quantities must have the same units

1 Kg = 1000 grams

express the quantities as a fraction and multiply by 100%

[tex]\frac{250}{1000}[/tex] × 100% = 0.25 × 100% = 25%

A manager drew this box-and-whisker plot to represent the number of minutes each of the company's 360 employees took on their break.

How many employees took a break that lasted between 37 and 41 minutes?

Select from the drop-down menu to correctly complete the statement.

About (blank) employees took a break that lasted between 37 and 41 minutes.

36
90
120
180

Answers

Answer:

on k12 im pretty sure its 90

Step-by-step explanation:

there is 360 minutes and between the 37 and 41 (this took me a while ) then you should get 90!!!!! hope this helped

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Answers

Answer:

$35.

Step-by-step explanation:

SP = 25 + 0.40*25

= 25 + 10

= $35.

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Answers

I don’t know what the answer is

Write a qbasic progrsm to check pass or fail​

Answers

Step-by-step explanation:

CLS

INPUT " Enter total marks "; M

IF M > 40 THEN

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ELSE

PRINT " You are failed "

END IF

END..

Margo is creating a pencil caddy in the shape of a triangular prism. She is determining how much wood she needs to build the caddy. Her design is shown below.



The total amount of wood Margo needs to build her pencil caddy is
square inchesMargo is creating a pencil caddy in the shape of a triangular prism. She is determining how much wood she needs to build the caddy. Her design is shown below.



The total amount of wood Margo needs to build her pencil caddy is
square inchesMargo is creating a pencil caddy in the shape of a triangular prism. She is determining how much wood she needs to build the caddy. Her design is shown below.



The total amount of wood Margo needs to build her pencil caddy is
square inchesMargo is creating a pencil caddy in the shape of a triangular prism. She is determining how much wood she needs to build the caddy. Her design is shown below.



The total amount of wood Margo needs to build her pencil caddy is
square inchesMargo is creating a pencil caddy in the shape of a triangular prism. She is determining how much wood she needs to build the caddy. Her design is shown below.



The total amount of wood Margo needs to build her pencil caddy is
square inchesMargo is creating a pencil caddy in the shape of a triangular prism. She is determining how much wood she needs to build the caddy. Her design is shown below.



The total amount of wood Margo needs to build her pencil caddy is
square inchesMargo is creating a pencil caddy in the shape of a triangular prism. She is determining how much wood she needs to build the caddy. Her design is shown below.



The total amount of wood Margo needs to build her pencil caddy is
square inchesv

Answers

Yes totally it’s fine bc what ammi t you will give and she creates it f51 wnat s it is not

which list of fraction is in order from least to greatest value

Answers

You can divide the fractions to make them decimals & then that will make it easier to list them

Joy's class voted on whether or not to do science fair projects in groups. Out of 24 votes, 18
were in favor of working in groups. What percentage of the votes were in favor of working in
groups
Write your answer using a percent sign (%).
Submit

Answers

Answer:

75%.

Step-by-step explanation:

That would be (18/24) * 100

= 3/4 * 100

= 75%

The correct answer would be 75 percent
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