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
1. Find the value of (−0.024)square
Lelu [443]
0.000576 is the right awnser
4 0
3 years ago
A package being delivered in the mail weighs 1056 ounces. How much does that package weigh in pounds?
Vlad1618 [11]

Answer:

66

Step-by-step explanation:

16 oz equal a pound so 1056 divided by 16

5 0
3 years ago
How do you solve 7a- 17=4a+1
Dennis_Churaev [7]

Answer:

a = 6

Explanation:

7a − 17 = 4a + 1

Subtract 4a from both sides

7a − 17 − 4a = 4a + 1 − 4a

3a − 17 = 1

Add 17 to both sides

3a − 17 + 17 = 1 + 17

3a = 18

Divide both sides by 3

3a / 3 = 18 / 3

a = 6

5 0
3 years ago
Simplify <br>(8/14 - 2/8) + 1/7​
konstantin123 [22]

Answer:

13/28.

Step-by-step explanation:

(8/14 - 2/8) + 1/7

We can just remove the parentheses and simplify its contents:

=  4/7 - 1/4 + 1/7

= 4/7 + 1/7 - 1/4

= 5/7 - 1/4      The LCD of 7 and 4 is 28 so we have:

20/28 - 7/28

= 13/28.

7 0
3 years ago
What is 49×84÷5×6+26​
lions [1.4K]
This is the answer 4,965.2
3 0
3 years ago
Read 2 more answers
Other questions:
  • What is the relationship between the 6s in the number 660,472?
    15·1 answer
  • Given the function f(x)=x^4+3x^3-7x^2-27x-18 , factor completely
    13·1 answer
  • What basic multiplication fact can help you divide 18÷3?
    10·2 answers
  • Julia collects colored beads for craft projects. Of Julia’s beads, 4
    8·1 answer
  • On a map two cities are 6 3/4 inches apart. The scale of the map is 1/4 inch= 10 miles. What is the actual distance between the
    7·1 answer
  • Can anyone help me with #3 on this please
    12·1 answer
  • A caterer prepared a large ham that weighed 15 1/8 pounds . After cooking , the chef trimmed the ham and removed the bone , so t
    14·2 answers
  • Which triangle, if any, has side lengths of 15, 15, and 15?
    12·2 answers
  • How do you Simplify -(1 - x)+3
    13·1 answer
  • Need help with these ASAP
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!