what is the equation of the line that passes through (6,4) and (4,1)

Answers

Answer 1

Answer:

y = 3/2*x - 5

Step-by-step explanation:

Lets say that P1=(6,4) and P2=(4,1) and that the form of the equation must be y=m*x+b where m is the slope and b the independent variable. Then having two given points we can use the slope formula to find the slope value as:

P1=(x1,y1) and P2=(x2,y2)

slope formula --->   m=(y2-y1)/(x2-x1)

Replacing the given points --->    m=(1-4)/(4-6) = 3/2

then replacing the slope value obtained:

y = 3/2*x + b

Now lets find the value of b. For this we have to replace in the equation a point it can be P1 or P2, i will replace P2:

1 = 3/2*4 + b

1 = 6 + b

1 - 6 = b

-5 = b

therefore the line equation is:

y = 3/2*x - 5


Related Questions

A swuare has an area of 9 cm^2.
Whats the side length

Answers

Answer:

3

Step-by-step explanation:

Area of a square= Length*Height

9=3*3

Answer:

3

Step-by-step explanation:

Which statements are true 25 (0)=25, 25(1)=25, 25+0=25, 25+1=25

Answers

25(1)=25
25+0=25
Those are the only ones that are true
25(1)=25 and 25+0=25 are correct

a helicopter is 14 meters above a canyon it goes down 20 meters then up 5 write a subtraction sentence, how do you know your answer is correct?​

Answers

Answer:

14 - 20 + 5

14 - 15 = -1

-1

If you take 14 meters and you go down 20 meters that is 14 - 20

Then, if you go up 5 meters, that is 14 - 20 + 5.

So simplify 14 - 20 + 5.

Simplified: 14 - 15

So the answer is -1 meter

A bucket contains 1.34 hectoliters of water. How many centiliters of water are in the bucket? Use the metric table to help answer the question.

Metric Table
kilo-
hecto-
deka-
unit
deci-
centi-
milli-
1,000
100
10
1
0.1
0.01
0.001
134 centiliters
1,340 centiliters
13,400 centiliters
134,000 centiliters

Answers

Answer:

13,400

Step-by-step explanation: since Centiliters are second to last just like 13,400 it is 13,400 just common sense if it's wrong sorry.

Answer:

13,400

Step-by-step explanation:

If leah has 22 boxes she gives 12 boxes to her mom how many boxes does leah have left

Answers

Subtract the amount she gives her mom from the total amount she has:

22 - 12 = 10

She has 10 boxes left.

The school field trip policy requires 3 adults for every 9 students. If the school orders 360 tickets for a play, how many adults and how many students are there? PLEASE ANSWER QUICK, I WILL GIVE BRAINLIEST!

Answers

Answer:

270 students and 90 adults

Step-by-step explanation:

3a=9s  a+s=360

a=3s

(3s)+s=360

4s=360

s=90

3a=9(90)

3a=810

a=270

show your work
v/8= 2

Answers

Step-by-step explanation:

v/8=2

v=8×2

v=16

16/8=2

Answer:

v = 16

Step-by-step explanation:

v/8 =2

Lets isolate v.

Multiply 8 on both sides.

v = 16

This is a one step equation, so there isn't realy that much to it.

Using the point (-4,-2), what number goes in the blank?
-5x + 3y =

Answers

Hope this helps! Ask questions if need be

Select three standard units of the metric system.

liter
meter
centimeter
cubic centimeter
gram
kilogram

Answers

liter, meter, and the last one is either gram or kilogram

9x-(-2y)-8x-(-12y) simplify​

Answers

Answer:

x+14y

Step-by-step explanation:

9x+2y-8x+12y

x+14y

im just timed on this, Just a lil help plz

Answers

Answer:

The answer is 6

Step-by-step explanation:

in the picture you provided. We can clearly see that there are 4 squared and 6 circles

There are 4 squares and 6 circles so the ratio is 4:6. So it is 6

Please help I’m really lost!

Answers

Answer:

The answer is C

Answer:

the answer is c.......

7. During a person's commute to school, she spends 10 minutes driving 30 miles per hour (mph) and 5 minutes stopped at red lights. (a) (1 pt.) Find the distance of her commute.​

Answers

Answer:

Total distance = 5 miles

Step-by-step explanation:

Given:

Total time for drive = 10 min = 10 / 60 = 1/6 hour

Time for stop = 5 min

Speed = 30 miles pr hour

Find:

Total distance

Computation:

Total distance = Speed × time

Total distance = 30 × (1/6)

Total distance = 5 miles

I NEED THIS ASAP whats 1x1.....

Answers

Answer:

1

-__-...

0.0

0-0

0_0

Answer:

1

Step-by-step explanation:

Multiply  1  by  1 .

angles a and b are vertical angles. If mA = (5x – 24)° and m B = (3x + 24),
then find the value of x.

Answers

Answer:

The correct answer is x = 24.

Step-by-step explanation:

To solve this problem, we must remember that vertical angles have the same measure.  This lets us set up the following equation:

m<a = m<b

If we substitute their values, we get the following:

5x - 24 = 3x + 24

To solve this equation, we can first subtract 3x from both sides of the equation.

2x - 24 = 24

Next, we can add 24 to both sides of the equation.

2x = 48

Finally, we can divide both sides of the equation by 2.

x = 24

Therefore, the answer is x = 24.

Hope this helps!

Put this equation into slope- intercept form. -2x + 3y = 9​

Answers

Answer:

y = 2/3x + 3

Step-by-step explanation:

In order to put it in slope intercept form (y = mx + b), y needs to be isolated.

Add 2x to both sides:

-2x + 3y = 9​

3y = 2x + 9

Then, divide both sides of the equation by 3.

3y = 2x + 9

y = 2/3x + 3 is the equation in slope intercept form

Answer:

Slope-intercept form:

→ y = (2/3)x + 3

Step-by-step explanation:

Given equation,

→ -2x + 3y = 9

Now we have to,

→ Convert this given equation into the slope-intercept form.

The slope-intercept form is,

→ y = mx + b

Let's convert the equation,

→ -2x + 3y = 9

→ 3y = 9 + 2x

→ 3y = 2x + 9

→ y = (2x + 9)/3

→ y = (2x/3) + (9/3)

y = (2/3)x + 3

From this slope-intercept form:

Slope (m) = 2/3

y-intercept (b) = 3

Thus, the answer is y = (2/3)x + 3.

uma makes a scale drawing of a patio the drawing below shows the two scales she used to plan two patios of different sizes.
Which shows the correct lengths of side C in both scales?

Answers

Answer:

Can you please put the picture in? We need the two scales.

Step-by-step explanation:

Answer:

A

Scale 1:45m ;scale:2:60

What would A,B,C,D.E be?

Answers

Answer:

Between 0-180

Step-by-step explanation:

Cause it is facts first

Which is the standard form equation?

Answers

9514 1404 393

Answer:

  d  4x +y = 17

Step-by-step explanation:

The only equation satisfied by the given point is also in standard form:

  4x +y = 17

__

Trying the given point in the different equations, we have ...

a) 4x -y = 4(5) -(-3) = 23

b) 4x +y = 4(5) +(-3) = 17

c) -4x +y = -4(5) +(-3) = -23

d) 4x +y = 4(5) +(-3) = 17 . . . . equation D matches the point

Solving for y, we have ...

  y = -4x +17  . . . .  a slope of -4 . . . . equation D matches the slope

8 X -9 + 6 x -8
HELP

Answers

Answer:

14x -17

Step-by-step explanation:

Choose the comparison statement that is correct

Answers

Answer:

what r the options........

I need the options















So what is it lol

The triangles below are congruent. Which of the following statements must be true?

Answers

Answer:BC=DF

Step-by-step explanation:

I don’t know how to do this. Can you help please help me ?

Answers

Answer:

sin = -√3/2cos = -1/2tan = √3sec = -2csc = (-2/3)√3cot = (√3)/3

Step-by-step explanation:

See the attached picture for a drawing of the angle and its terminal point coordinates. Those are (cos(4π/3), sin(4π/3)), so we have the following trig function values:

  sin(4π/3) = -√3/2

  cos(4π/3) = -1/2

  tan(4π/3) = sin/cos = √3

  sec(4π/3) = 1/cos = -2

  csc(4π/3) = 1/sin = -(2√3)/3

  cot(4π/3) = 1/tan = (√3)/3

_____

Additional comment

It helps to know that 1/√a = (√a)/a. This lets you write the ratios with a rational denominator in each case.

what's the answer? pls help

Answers

Answer: -2

I'm not so sure what it means by slope, but because I saw a pattern between x and y (it decreases by 2 every x value and decreases by 4 every TWO x values) values so I would pick -2. BUT I don't know if the answer is -4.

Step-by-step explanation:

The soccer team can have no more than 26 players. How many more players can make the team if the coach has already chosen 12 players? Write an inequality where x represents the number of players
that can still be added to the team.

Answers

Answer: >14 I think

Explanation:

The game of roulette involves spinning a wheel with 38 slots: 18 red, 18 black, and 2 green. A ball is spun onto the wheel and will eventually land in a slot, where each slot has an equal chance of capturing the ball. a) you watch a roulette wheel spin 5 times and the ball lands on a red slot each time. What is the probability that the ball will land on a red slot the next spin? b) you watch a roulette wheel spin 330 consecutive times and the ball lands on a red slot each time. What is the probability that the ball will land on a red slot on the next spin?

Answers

Answer:b

Step-by-step explanation:

NEED HELP I WILL GIVE U BRAINLIEST+extra points
Points A′, B′, and C′ are the images of 180-degree rotations of A, B, and C, respectively, around point O.

Answers

Answer:

35 degrees

Step-by-step explanation:

Answer:

A'O

Step-by-step explanation:

Since A' is just a 180-degree rotation around point O, it didn't change the length at all. Therefore the answer must be A'O.

solve using elimination -3x+3y=21 -x-5y=-17

Answers

Answer:

(2,6)

Step-by-step explanation:

Google

Hi so i totally forgot basic algebra; is the difference of 5 and 6 expressed as 5-6 or 6-5

Answers

Answer:

6-5 because 6 > 5, so the difference is 1 instead of -1.

Step-by-step explanation:

Answer:

6-5

Step-by-step explanation:

you subtract it correctly

The vet says that Lena’s puppy will grow to be at most 28 inches tall. Lena’s puppy is currently 1 foot tall. How many more inches will the puppy grow?

Answers

Answer:

Lena's puppy has 16 more inches to grow.

Step-by-step explanation:

One foot is 12 inches. 28 - 12 = 16

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