what is an equation of the line that passes through the points (1,2) and (2,-1) 

Answers

Answer 1

Answer:

[tex]y = - 3x + 5[/tex]

You should also try solving it yourself to make sure I did not make any mistake.

Step-by-step explanation:

Equation

[tex]y = mx + b[/tex]

First we need to know the slope

[tex]slope = \frac{y1 - y2}{x1 - x2} [/tex]

[tex]slope = \frac{2 - ( - 1)}{1 - 2} = \frac{3}{ - 1} = - 3[/tex]

So far the equation will look like this

[tex]y = - 3x + b[/tex]

To get the b you insert a point into the equation like this. I picked point (1,2)

[tex]2 = - 3 \times 1 + b[/tex]

[tex]b = 5[/tex]

We could also check it with the other point and see if we get the same answer.

[tex] - 1 = - 3 \times 2 + b[/tex]

[tex]b = 5[/tex]

So the equation is

[tex]y = - 3x + 5[/tex]


Related Questions

Is a snowflake rotational symmetry or refelctional symmetry or both or neither

Answers

Answer:

reflectional

Step-by-step explanation:

It’s reflection because of all the sides

One inch is approximately 252
5
millimeters. What is 252
5
as a decimal?

Answers

Answer:

50.4 or 50.4%

Step-by-step explanation:

decimal calculator to find what's an equivalent decimal for the fractional number 252/5. 50.4 is a decimal and 5040/100 or 5040% is the percentage for 252/5.

Answer:

25.4

Step-by-step explanation:

Hope this helps!! Please consider marking brainliest! Have a good one!!

can someone please help me with this? it’s algebra 2

Answers

I am big pp lol xD hxyjdrh
Answers 28747362 your welcome monkey

John gets a new job and receives a $500 signing bonus. After that, he makes $200 per day.

What’s the Slope-Intercept Form of the equation is y =

Answers

y = 200x + 500!
the formula goes like this: y = mx +/- b
x = amount of days!

P(2-r)-17=109 what is the answer

Answers

Answer:

                              126

                    P = -------------

                              2 - r

Step-by-step explanation:

Solve for P:  P(2-r)-17=109

Combining the constant terms:

                     P(2 - r) = 126

Dividing both sides by (2 - r) isolates P:

                              126

                    P = -------------

                              2 - r

desperate need of help plssss help :(....please

Pentagon GPEST is shown on the coordinate grid. Pentagon Pentagon GPEST is dilated with the origin as the center of dilation using the rule (x,y)→(0.2x,0.2y) to create pentagon G'P'E'S'T'.

Which statement is true?


Pentagon G'P'E'S'T' is larger than pentagon pentagon GPEST because the scale factor is greater than 1.

Pentagon G'P'E'S'T' is larger than pentagon pentagon GPEST because the scale factor is less than 1.

Pentagon G'P'E'S'T' is smaller than pentagon pentagon GPEST because the scale factor is greater than 1.

Pentagon G'P'E'S'T' is smaller than pentagon pentagon GPEST because the scale factor is less than 1.
Coordinate plane with 4 quadrants. x-axis runs from negative 6 to 4 and y-axis runs from negative 5 to 5 and arrows on both ends. Pentagon with vertices at G at negative 3 comma 4. P at 2 comma 4. E at 4 comma 2. S at 2 comma negative 3. T at negative 3 comma negative 3.. Vertices labeled with letters.

Answers

Answer:

Pentagon G'P'E'S'T' is smaller than pentagon pentagon GPEST because the scale factor is less than 1.

Step-by-step explanation:

Sorry im late homie

  Option (4). Pentagon G'P'E'S'T' will be smaller than pentagon GPEST because the scale factor is less than 1.

Transformation of a figure by dilation:  If a figure with the given vertex (x, y) is dilated with a scale factor    

          'k', image point will follow the rule,

          (x, y) → (kx, ky)

  If k > 1, image will be larger than preimage.

           If k < 1, image will be smaller than preimage.

Rule for the dilation given in the question,

(x, y) → (0.2x, 0.2y)

Here, k = 0.2 which is less than 1.

     Therefore, pentagon G'P'E'S'T' will be smaller than pentagon GPEST.

                        Option (4) will be the correct option.

Learn more about the transformation here,

https://brainly.com/question/13166355?referrer=searchResults

what is 10/40 as a percent?

Answers

Answer:

0.25              :)

Step-by-step explanation:

plz mark B R A I N L I E S T

Simplity
35x105x125
5-7 X6-5​

Answers

Answer:

lemmme thinkkkkkk

Step-by-step explanation:

gcf of 15 and 40 Lmc of 15 and 40

Answers

Answer:

gcf: 5

lcm: 120

Step-by-step explanation:

I need Help please #24

Answers

13 games..........,............

Answer:

13

Step-by-step explanation:

13 because 13 times 14 is 182

What is the slope of the line passing through the points (3,-20) and (5, 8)?

Answers

Answer:

the answer is -28/20 hope it helps

Answer:

-14

Step-by-step explanation

I need help please (;´༎ຶٹ༎ຶ`)
What is an equation of the line that passes through the points (-6,-8) and
(-3,-3)? Put your answer in fully reduced form.

Answers

The dude on top of me is correct

Write an equation in slope-intercept form for the line with slope -
and y-intercept - 4.

Answers

Answer: y= - 1x- 4

Step-by-step explanation:

Solve the puzzle. M + M + M = 30. M + N + N =20. N + Q + Q = 9. N + Q × M = ?Solve for M.
A. 8
B. 9
C. 10

Answers

Answer:

M=10

N=5

Q=2

Step-by-step explanation:

if you look at the equation it says

M+M+M=30

Since there's 3 M's you can combine it and make it into 3M=30.

you could then divide 30 by 3 in order to get M by itself and you would get M=10.

Hope this helped :)

solve for x
(10x+44)(8x-23)

Answers

Answer:

802+122−102

Step-by-step explanation:

Fluffy the bunny ate 1 2 of a carrot in the morning, and she ate some more at night. By the end of the day, she still had 1 3 of the carrot left to eat. How much of the carrot did Fluffy the bunny eat at night?

Answers

Answer:

1/6

Step-by-step explanation:

Fluffy ate 1/2 carrot in the morning

She ate some more at night

At the end of the day she still had 1/3 of the carrot left

Therefore the amount of carrot fluffy are at night can be calculated as follows

x= 1-1/3-1/2

×= 1/6

Hence fluffy ate 1/6 of the carrot at night

ILL MARK YOU BRAINLIST HELP ME PLEASEE

Answers

Answer: 2.5 (H) hope this helped :)

Step-by-step explanation:

You are picking out an outfit to wear for school. You have the option of wearing jeans, a pair of khakis, or a pair of shorts; a white shirt, a yellow shirt or an orange shirt; and a pair of tennis shoes, a pair of flip flops or a pair of dress shoes. How many different outfit combinations do you have?

Answers

Answer:

You have 24

Step-by-step explanation:

PLEASE help it's timed!! :)

Answers

Answer:

The answer is 5

shdhejrjejsn when heuejwkwudheje

Complete the equation of the line through (-6,-5)(−6,−5)left parenthesis, minus, 6, comma, minus, 5, right parenthesis and (-4,-4)(−4,−4)left parenthesis, minus, 4, comma, minus, 4, right parenthesis

Answers

Answer:

y = -4.5x - 22

Step-by-step explanation:

The standard form of finding the equation of a line is expressed as y = mx+c

m is the slope

c is the y intercept

Get the slope:

m = y2-y1/x2-x1

Given the coordinates (-6,5) and (-4,-4)

m = -4-5/-4+6

m = -9/2

m = -4.5

Get the y-intercept

Substitute (-4,-4) and m = -4.5 into y = mx+c

-4 = -4.5(-4) + c

-4 = 18 + c

c = -4-18

c = -22

Get the required equation:

Recall that: y = mx+c

y = -4.5x - 22

Hence the required equation is y = -4.5x - 22

Answer:

y=1/2x-2

Step-by-step explanation:

PLEASE I NEED HELP ASAP!!! I WILL GIVE OUT BRAINLIEST TO THE FASTEST ANSWER ACELLUS: Simplify the midpoint of QS

Answers

9514 1404 393

Answer:

  (a +b, c)

Step-by-step explanation:

The midpoint formula and point coordinates are given. Put the coordinates in the formula and simplify.

  M = ((2b +2a)/2, (2c +0)/2)

  M = (a +b, c)

9514 1404 393

(a +b, c)

Step-by-step explanation:

The midpoint formula and point coordinates are given. Put the coordinates in the formula and simplify.

M = ((2b +2a)/2, (2c +0)/2)

M = (a +b, c)

2 5/6 x 2/5 ???????????

Answers

1.13 hope this helps

Answer:

[tex]\frac{17}{15}[/tex]

Step-by-step explanation:

Joann has a certain number of dimes and quarters in her purse, with a total value of $3.75. The
number of quarters is 2 less than 3 times the number of dimes. Which system of equations could
be used to find the number of dimes, d, and the number of quarters, q, that Joann has?

Answers

Answer:

The system of equations 10d+25q=375 and q = 3d-2 can be used to find the numbers of dimes and quarters that Joann has.

Step-by-step explanation:

Given that:

Total value of dimes and quarters = $3.75 = 3.75*100 = 375 cents

One quarter = 25 cents

One dime = 10 cents

Let,

d be the number of dimes

q be the number of quarters

According to given statement,

10d+25q=375

q = 3d-2

Hence,

The system of equations 10d+25q=375 and q = 3d-2 can be used to find the numbers of dimes and quarters that Joann has.

The graph of the equation y=x2+3x+5 is a function.

Question 2 options:
True
False

Answers

Answer:

True

Step-by-step explanation:

this funcion is squared and you can draw it, so therefore it is a function.

Need help ASAP!!

Write a conjecture that describes this pattern.

Answers

If it’s blue:red, it’s 8:4 which can simplify to 2:1.
If it’s red:blue, it’s 4:8 which can simplify to 1:2.

If ΔJKL~ΔMKN, find the value of x.

Answers

Answer:

x = 14

Step-by-step explanation:

Since the triangles are similar, then the ratios of corresponding sides are equal, that is

[tex]\frac{KL}{KN}[/tex] = [tex]\frac{JL}{MN}[/tex] , substitute values

[tex]\frac{32}{12}[/tex] = [tex]\frac{3x-2}{x+1}[/tex] ( cross- multiply )

12(3x - 2) = 32(x + 1) ← distribute parenthesis on both sides

36x - 24 = 32x + 32 ( subtract 32x from both sides )

4x - 24 = 32 ( add 24 to both sides )

4x = 56 ( divide both sides by 4 )

x = 14

Describe something true about any pair of interior and exterior angles?​

Answers

The interior angles of a shape are the angles inside the shape. The exterior angles are the angles formed between a side-length and an extension. Rule: Interior and exterior angles add up to 180 ° 180\degree 180°.

what is 83x8+4-9=
POR FAVOR AYUDA

Answers

Answer:

659

Step-by-step explanation:

664 + 4 - 9 = 659

All but 1/16 of the students enrolled at a school participated in Faniky Fun Night activities. If a total of 450 students were involved, how many students attend the school ?

Answers

Let "x" be the total # of students:
Equation:
(1/16)x= 405
x = 16*405 = 6480

What is the area of rectangle CDEF?
Area= ...square units

Answers

Step-by-step explanation:

I think it's 48 square units

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