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
balu736 [363]
3 years ago
15

Find the equation of the line passing through the points 7,2 and 9,1

Mathematics
1 answer:
bija089 [108]3 years ago
5 0

9514 1404 393

Answer:

  y = -1/2x +11/2

Step-by-step explanation:

The slope of the line is ...

  m = (y2 -y1)/(x2 -x1)

  m = (1 -2)/(9 -7) = -1/2

The y-intercept is ...

  b = y -mx

  b = 2 -(-1/2)(7) = 11/2

Then the slope-intercept equation is ...

  y = -1/2x +11/2

_____

<em>Alternative solution</em>

A general form equation for the line can be ...

  (y1 -y2)(x -x1) -(x1 -x2)(y -y1) = 0

  (2 -1)(x -7) -(7 -9)(y -2) = 0

  x-7 +2y -4 = 0

  x +2y -11 = 0 . . . . . general form equation

  x +2y = 11 . . . . . . . standard form equation

Note that we want the x-coefficient to be positive, so we chose the order of the points to make that be the case.

You might be interested in
Plz help I'm really bad at these
GREYUIT [131]
Y = mx + b, where m = slope = rise/run and b, the y intercept value

m = 1/1 = 1, then y = x + b.
We notice that y intercept is = - 1
And the equation is:

y = x - 1
6 0
3 years ago
The video club to which Lin belongs allows her to receive one free DVD for every three DVDS she rents. If she pays $3 for each D
Nesterboy [21]

Answer:

12

Step-by-step explanation:

Given:

On every 3 DVDs she rents, 1 DVD is received for free

Rent of each DVD = $3

Total amount paid = $114

Now,

The total number of DVDs she took on rent = \frac{\textup{Total amount paid}}{\textup{Rent of each DVD}}

or

The total number of DVDs she took on rent = \frac{\textup{114}}{\textup{3}}

or

The total number of DVDs she took on rent = 38

also,

For every 3 DVDs she gets 1 Free DVD

thus,

For every 1 DVD she gets \frac{\textup{1}}{\textup{3}} free DVD

therefore,

For  38 DVD she gets \frac{\textup{38}}{\textup{3}} free DVD

or

she gets 12.67 DVDs free

Since,

the DVDs cannot be given in fraction

Hence she will get 12 free DVDs

5 0
3 years ago
A number r tripled plus t quadrupled please help !!
ludmilkaskok [199]
This In Expression Form Is:
3r + 4t.
The Reason Why Is Because:
When You Triple r, That Is 3r, And When You Quadruple t, It becomes 4t. And Plus Means to Add. So, This Becomes 3r + 4t 
I Hope this Helps! 
6 0
3 years ago
Read 2 more answers
1. (15 + 70 – 5^2) ) divide (36 – 6)<br><br> 2. (11 + 22 – 3) divide 3 - 32
Julli [10]

1) 15 + 70 - 25/36-6

  85 - 25/30

= 60/30

=2

2) 11 + 22 - 3/3-32

=30/-29

=- 30/29

8 0
3 years ago
Read 2 more answers
What is the length of BC?<br> pls help
zheka24 [161]
It’s an isosceles triangle, so those two sides are equal:

3x-15=x+33
2x=48
x=24, so BC should be 24.
3 0
3 years ago
Other questions:
  • The functions f(x) and g(x) are graphed.
    6·2 answers
  • PLEASE HELP ASAP
    6·1 answer
  • The daily rainfall during a two week period in April was: 1, 0.5, 0.3, 0, 0, 0, 1.1, 0.7, 2, 1.3, 2 inches. What was the median
    5·2 answers
  • Given the equation shown, what is the coordinates of the center? *
    15·2 answers
  • Nearest hundred thousand 700,00 what is the exact number
    6·1 answer
  • use each of the digits 5 4 3 2 1 exactly once to create two different five digit numbers. Write each number on the line and comp
    9·1 answer
  • PLEASEEEE help and explain!!
    14·1 answer
  • Which graph represents a function with a domain of all real numbers greater than or equal to -7 and less than 2?
    9·1 answer
  • Answer the photo below thanks
    6·2 answers
  • Subtract the mixed numbers by finding the common denominator. Three and four sixths minus one and one half equals blank
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!