1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
lutik1710 [3]
1 year ago
14

Find the equation of the line passing through the points (3,7) and (-2,5)

Mathematics
1 answer:
r-ruslan [8.4K]1 year ago
7 0

Answer:

The equation of the line passing through the points (3,7) and (-2,5) is y=⅖x+29/5

Step-by-step explanation:

Greetings !

first \: find \: the \: slope \: m \\ m =  \frac{(Y₂-Y₁)}{(X₂-X₁)} ..substitute \: vlues \\ m =  \frac{(5 - 7)}{( - 2 - 3)}  =  \frac{ - 2}{ - 5}  =  \frac{2}{5}  \\ y = mx + b \: to \: find \: equation \: of \: aline \\ between \: two \: poins and \: use \:  \\ one \: of \: the \: two \: points \: lets \: take( - 2.5) \\ y = mx + b \\ 5 =  \frac{ - 2}{5} ( - 2) + b \\ 5 =  \frac{ - 4}{5}  + b \\ 5 +  { - 4}^{5}  = b \\  \frac{25 + 4}{5}  = b \\ b =  \frac{29}{5}  \\ finally \: equation \: of \: the \: line \: will \: be \\ y =  \frac{2}{5} x +  \frac{29}{5}

You might be interested in
What is the value of the third quartile of the data set represented by this box plot?
elena55 [62]
Answer: Since you didn't include the picture, I can give you the description so you know how to pick the correct answer.

The third quartile of a data is always shown in a box plot. In the middle of your graph should be a box. The third quartile is the value that goes with the far right edge of the box.
8 0
2 years ago
Read 2 more answers
What's the answer 2(×+4)=18
Nadusha1986 [10]
2(x+4)=18

2•x + 2•4 = 18

2x + 8 = 18

2x + 8 = 18
- 8 -8
_________
2x = 10

2x = 10
__ __
÷2 ÷2

x = 5
5 0
3 years ago
Read 2 more answers
Plz help me thanks so much for helping
11111nata11111 [884]

Answer:

total cost = 351.33

Step-by-step explanation:

The tax is found by multiply the cost times the tax rate

tax = 334.60 * .05

tax =16.73

Add the tax to the cost of the item to get the total cost

total cost = 16.73 + 334.60

total cost = 351.33

6 0
3 years ago
PLEASE HELP AND SHOW WORK!!
Nastasia [14]

Answer:

Pipe 1 alone fills a tank in 10 min

Pipe 2 alone fills the tank in 20 min

If both are turned on together, how long will it take to fill the tank???

Pipe 1 fills at the RATE of 1/10th tank per min

Pipe 2 fills at the RATE of 1/20th tank per min

Pipe 1 + Pipe 2 fills at the rate of 1/10+1/20 or 3/20th tank per min

Let x= time to fill the tank

(3/20)(x)=1 Where 1 denotes a full tank (Multiply both sides by 20)

3x=20

x=6 2/3 min----------both working together

NOW YOUR PROBLEM

Let x= amount of time for smaller pipe to fill the tank

Then (x-5)=amount of time for larger pipe to fill the tank

NOW HERE'S WHERE THE RECIPROCAL COMES IN:

The smaller pipe fills the tank at the RATE of 1/x cu units per min

The larger tank fills the tank at the RATE of 1/(x-5) cu units per min

Together, they fill the tank at the rate of 1/x+(1/(x-5)) cu units per min

But now we are told that together the fill the tank in 11 1/9 minutes. so our equation to solve is:

(1/x+(1/(x-5))(11 1/9)=1 where 1 denotes a full tank. In fact, in each of the above reciprocals, the 1 denotes a full tank.

So, dividing both sides by 11 1/9, we get:

1/x+(1/(x-5)=1/(11 1/9)-------------- which is your equation

I assume that you have no problems solviing this eq.

Hope this helps----ptaylor

Step-by-step explanation:

7 0
2 years ago
If you are buying at item at a store for a price of $61, and there is a 6.7% tax added on top, what would be the total amount du
bekas [8.4K]

Answer:

The total amount due at the register will be: $65.09    

Step-by-step explanation:

The cost of an item = $61

tax on item = 6.7%

The tax amount =  6.7% × 61

                           = 0.067 × 61

                           = $ 4.09

The total cost = cost of an item + tax amount

                           = $61 + $4.09

                           = $65.09

Therefore, the total amount due at the register will be: $65.09                        

3 0
3 years ago
Other questions:
  • Volume of a square with a diameter of 9
    10·2 answers
  • Please help thanks so much 20 points.
    10·1 answer
  • What is the equation of the line that is parallel to the line y = 1/3x + 4 and passes through the point (6, 5)?
    12·1 answer
  • I need help with this <br><br> 10 points <br><br> Pls pls pls someone come help me
    8·1 answer
  • Which composition of transformations maps figure EFGH to figure E"F"G"H"?
    8·2 answers
  • 7x + 2x^2 + 3x^2 - 2x
    15·1 answer
  • Please help!! <br> it says what I wrote is too short so
    12·1 answer
  • What is the explicit formula for this arithmetic sequence?<br> -11, -18, -25, -32, ...
    6·1 answer
  • 05.01
    11·2 answers
  • Convert0.9285714 into a fraction
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!