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

1st correcct will get brainliest

Answers

Answer:

it s A

Step-by-step explanation:

if the two to the power of ten is on the outside, you will always need to add that to the other powers of ten

Brianliest plz thanks

what’s 6/7 - 1/2? also how do i subtract fractions with unlike denominators? you don’t have to answer the 2nd question

Answers

Make this same denominator
6/7 * 2/2 = 12/14
1/2 * 7/7 = 7/14
Now subtract
12/14 - 7/14 = 5/14

6/7 - 1/2 equals 5/14.

Subtract the fractions: Now that the fractions have the same denominator, you can subtract them by subtracting the numerators while keeping the common denominator. In this case, subtracting 7/14 from 12/14 gives you 5/14.

To subtract fractions with unlike denominators, you need to find a common denominator for both fractions. The common denominator is the least common multiple (LCM) of the denominators. Once you have the common denominator, you can subtract the fractions by following these steps:

Find the LCM of the denominators: In this case, the denominators are 7 and 2. The LCM of 7 and 2 is 14.

Rewrite the fractions with the common denominator: To rewrite 6/7 and 1/2 with a common denominator of 14, you need to multiply both the numerator and denominator of each fraction by a suitable factor. For 6/7, you would multiply both numerator and denominator by 2 to get 12/14. For 1/2, you would multiply both numerator and denominator by 7 to get 7/14.

Subtract the fractions: Now that the fractions have the same denominator, you can subtract them by subtracting the numerators while keeping the common denominator. In this case, subtracting 7/14 from 12/14 gives you 5/14.

Therefore, 6/7 - 1/2 equals 5/14.

For more details of Subtract the fractions:

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Question 1 (1 point)
Find the area of the circle.

A) 37.82
B) 43.86
C) 17.72
D) 28.26

Answers

Answer:

ok

Step-by-step explanation:

Plz help convert and show work plz!
1) 60 miles per hour to feet per second
2) 2.40 Euros per kilogram to dollars per pound (1 euro =
o = $1.42)

Answers

Answer:

1) 5280 feet/sec

2)$3.41

Step-by-step explanation:

60 miles is 316800 feet, divided by 60 which is 5280 feet/sec

2)2.4x1.42 is 3.41

Are these triangles similar and why

Answers

there is no photo in the question

Answer:

can give me a picture

Step-by-step explanation:

You bought a can of black beans last week that cost $1.34. This week, the store advertised a sale where 5 cans of beans cost $6.00. You bought one can of beans this week as well. Find the cost per can, and determine how much less the can of beans cost this week compared to last week.

Answers

Answer:

1. $1.2

2.  $0.14

Step-by-step explanation:

Step one:

given data

Black beans last week that cost $1.34

Step two:

This week's price

5 cans of beans cost $6.00

The cost per can is

= 6/5

=$1.2

The difference in price

=1.34-1.2

= $0.14

write the equation of the line that passes through the point (2,-1) and has a slope of -3

Answers

Answer:

y=2/-1 -3

Step-by-step explanation:

how many times larger then 2x10² is 2x10⁸​

Answers

Answer:

1,000,000 times larger

Step-by-step explanation:

2 x [tex]10^{8}[/tex] = 200,000,000

2 x [tex]10^{2}[/tex] = 200

200,000,000 divided by 200 is 1,000,000

It can also be solved by subtracting the exponents from 10. Then dividing the two number being put the scientific notation.

[tex]10^{8} - 10^{2}[/tex] = [tex]10^{6[/tex]

2 ÷ 2 = 1

Now solve:

1 x [tex]10^{6[/tex] = 1,000,000

-7 - 2 ..........................................................
..

Answers

Answer:

-9 is the answer

Step-by-step explanation:

hope it helps!

Select all of the equations that are equivalent to 3.2 + 6 = 27
3x=21
3.x=33
X+ 6 = 24
x + 2 = 9

Answers

hey 47 yea=467 yigcd

Identify the axis of symmetry and vertex.

Answers

Answer:

he axis of symmetry always passes through the vertex of the parabola . The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola. For a quadratic function in standard form, y=ax2+bx+c , the axis of symmetry is a vertical line x=−b2a .

Step-by-step explanation:

One to one function and value

Answers

Answer:

yes

Step-by-step explanation:

no two points have the same y value

This is an example of a(n)?

A) Contraction
B) Enlargement

Answers

Answer:

A) Contraction

Step-by-step explanation:

Answer:

The answer to this question is Contraction.

please answer this. thank you

Answers

I wanna ruin our friendship we should be lovers instead

if x Multiplied by 7 = 21, what is x

Answers

Step-by-step explanation:

Given that x is multiplied by 7 = 21 Then

7 * x = 21

or x = 21/ 7

Therefore x = 3.

Answer:

Solution,

here,

x+7=21

x=21-7

Therefore,x=14

16 pearls/20opals = 8pearls/ blank opals complete each equivalent ratio

Answers

Answer:

10

Step-by-step explanation:

16/20=8/10

16/2=8

20/2=10

16 pearls/20opals=8perals/10opals

Find the GCF of 6x+4 and divide

Answers

The GCF is 2
Merry Christmas

Which value is included in the situation set for the inequality graphed on the number line?

Answers

Answer:

-5 is the only one. -2 would be if the circle on the line was solid, but it's an open circle so the number it's on isn't included.

I'm On that test ATM and was wondering if you could give me the aswners to numbers 7 8 9

But the awnser to that question is -5

what is the answer to x - 8 < -2

Answers

Answer:

X < 6

Step-by-step explanation:

Add 8 to both sides

x < 6

Answer:

X<6

Step-by-step explanation:

x-8<-2

So first off, you want to get X by itself. To do that you have to do the opposite of what the number is. If the number is negative you add it. If the number is positive, you subtract it. What you do on one side, you do on both.

x-8<-2

+8      +8

X<-2+8

Next, You need to add alike terms.

X<6

Tim is a first grader and reads 43 words per minute. Assuming he maintains the same rate, use the double number line to find how many words he can read in 5 minutes. Words 0 43 Minutes 0 1 Tim can read words in 5 minutes.
as a timeline

Answers

Answer:

all you have to do is Just divided the numbers

Step-by-step explanation:

÷

Consider the following equation.
9x + 3y = 6
On a recent Algebra test, Brian was asked to rewrite the equation in slope-intercept form
The slope of the equation is
The y-intercept is

Answers

Answer: The slope is -3 and the y- intercept is (0,2)

Step-by-step explanation:

Company A charges $18 plus $0.15 per mile what is the rate per mile charged by company A​

Answers

Answer:

The rate is $18.15 per mile.

Step-by-step explanation:

Add $18 + $0.15 and it equals $18.15.

Plz help fast and correct!!!! (I will report if answer is stupid!!!)

Answers

slope for both is 1/2
A.
Slope: 4/3
Y-int: 2
Equation: y = 4/3x + 2

B.
Slope: -1/3
Y-int: -1
Equation: y= -1/3x - 1

Same question I answered it but I don’t know if it’s correct

Answers

Answer:

Yes it is correct

Step-by-step explanation:

A good way to know it's correct is the "three times a number" because that's how you would know it's 3x

A ladder that is 21 feet long is propped against a building. The bottom of the ladder was placed 4 feet from the base of the building. How high up on the building does the ladder reach? Round the answer to the nearest tenth of a foot.

Answers

Step-by-step explanation:

20.6 feet

hope it helps !

Answer:

c

Step-by-step explanation:

PLEASE HELP ITS DUE IN 15 MINSS!!!!!
Given the equation of a circle below, find the diameter of the circle. Use only the digits 0-9 to enter the diameter.

x squared plus y squared minus 16 x plus 12 y equals 21

Answers

Answer

he diameter of the circle is 22 units.

x² + y² - 16x + 12y = 21    

If this answer is correct, please make me Brainliest!

HAVE AN AMAZING DAY GOODLUCK

-Ary

Help will give brainlist!
If correct. Thanks!

Answers

Answer:

B y=0.5x-1

Step-by-step explanation:

Answer:

Y=-1/2x-1

Step-by-step explanation:

The slope is found using rise/run

Y-int can be found on the graph

How do I figure this out?

Answers

I think it is permutation because I asked Siri what it meant and she said...

A tie-dye kit with one T-shirt costs $15. Each additional T-shirt costs $4 more. Choose the explicit formula to represent the situation.
A. an = 11 + 4n
B. an = 4 + 15n
C. an = 19 + 4n
D. an = 15 + 4(n + 1)

Answers

Answer:

a

Step-by-step explanation:

i just took the test

The explicit formula that represents the situation is [tex]a_{n}[/tex] = 11 + 4n thus option (A) is correct.

What is the pattern?

A pattern is a specific arrangement of numbers or any term which will follow a specific code or hint.

Another example is 2,4,16,256 in this pattern each term is the square of the previous term and this will become its specific pattern.

As per the given,

Cost of a tie-dye kit + 1 T-shirt = $15

Additional T-shirt = $4

This, means,

Cost of a tie-dye kit + $4 = $15

Cost of a tie-dye kit = $11

The total cost with n number of T-shirts will be as,

[tex]a_{n}[/tex]  = 11 + 4n

Hence "The explicit formula that represents the situation is [tex]a_{n}[/tex] = 11 + 4n".

For more information about the pattern,

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Can someone please help me on this please?!

Answers

It would most likely be a you just need to draw a line that evenly distributed the plotted points and find the answer
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