All categories

2 years ago

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

Mathematics

1 answer:

natita [175]2 years ago

4 0

Answer:

y = -x + 3

Step-by-step explanation:

The equation of a straight line is generally written as;

y = mx + b

where m is the slope and b is the intercept

To get the slope we use the slope formula

Mathematically, that is;

m = (y2-y1)/(x2-x1) = (-1-2)/2-1 = -3/1 = -1

To get the intercept we equate any of the points to the partial equation that we have;

From;

y = -x + b

2 = -1 + b

b = 1 + 2 = 3

So the equation is;

y = -x + 3

You might be interested in

Mary throws her Grandma’s favorite crystal dish out the second floor window, which is 6 meters from the ground. She is really up

wlad13 [49]

we know that

acceleration due to gravity is 9.8m/s^2

so, we get

$a(t)=9.8$

and acceleration will always be constant

we know that

integral of acceleration is velocity

so, we can integrate both sides

$\int \:a\left(t\right)dt=\int \:9.8dt$

$v(t)=9.8t+C$

we are given

v(0)=35m/s

we can use it and find C

$v(0)=9.8*0+C$

$35=9.8*0+C$

$C=35$

now, we can plug it back

$v(t)=9.8t+35$

we know that

integral of velocity is height

we can integrate it again

$\int \:v\left(t\right)dt=\int \:\left(9.8t+35\right)dt$

$s(t)=\int \:\left(9.8t+35\right)dt$

$s(t)=4.9t^2+35t+C$

now, we have

s(0)=6

we can use it and find C

$s(0)=4.9(0)^2+35(0)+C$

$6=4.9(0)^2+35(0)+C$

now, we can plug back C

$C=6$

and we get

$s(t)=4.9t^2+35t+6$ .............Answer

4 0

3 years ago

Read 2 more answers

What is the area of the square below?

Irina18 [472]

Answer: The answer is 81

Step-by-step explanation:

because 9x9=81 so u don't multiply the whole square like this

9x9x9x9=36 thats wrong and that was my mistake but yeah it would be 81.

8 0

3 years ago

PLEASW HELP DUE AT 9:20

Bess [88]

Answer:

1 x 10^10

2 x 10^-10

7 x 10^-11

8 x 10^-11

Step-by-step explanation:

7 0

2 years ago

Harper had $35 in her purse and found x dollars more on the couch. Cole had $41 in his wallet and spent twice as much money as H

yanalaym [24]

Answer (x is the money Harper found):

Equation: (35 + x) = (41 - 2x)
Solution: x = 2

I hope this helps!

8 0

2 years ago

Rate, how many hours will it take the ship to travel 100 miles?<br> hours

kifflom [539]

Answer:

I would say about 5 or 6 hours.

Step-by-step explanation:

3 0

2 years ago