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
julsineya [31]
3 years ago
8

Equation of the line (-6,5) and (8,14) in standard form

Mathematics
1 answer:
blsea [12.9K]3 years ago
4 0

Answer:

\huge\boxed{9x-14y=-70}

Step-by-step explanation:

The point-slope form of an equation of a line:

y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}

We have two points (-6, 5) and (8, 14).

Substitute:

m=\dfrac{14-5}{8-(-6)}=\dfrac{9}{14}\\\\y-5=\dfrac{9}{14}(x-(-6))\\\\y-5=\dfrac{9}{14}(x+6)

Thew standard form of an equation of a line:

Ax+By=C

transform:

y-5=\dfrac{9}{14}(x+6)\qquad|\text{multiply both sides by 14}\\\\14y-14\cdot5=14\!\!\!\!\!\diagup^1\cdot\dfrac{9}{14\!\!\!\!\!\diagup_1}(x+6)\\\\14y-70=9(x+6)\\\\14y-70=9x+54\qquad|\text{subtract}\ 9x\ \text{from both sides}\\\\-9x+14y-70=54\qquad|\text{add 70 to both sides}\\\\-9x+14y=70\qquad|\text{change the signs}\\\\9x-14y=-70

You might be interested in
What is the slope of the line?<br> 2x - 5y = 9<br> Choose 1 answers<br> 5<br> 2<br> O
Zepler [3.9K]

9514 1404 393

Answer:

  D.  2/5

Step-by-step explanation:

The slope is the x-coefficient when the equation is solved for y.

  2x -5y = 9 . . . . . . . given

  -5y = -2x +9 . . . . . .subtract 2x

  y = (-2/-5)x +9/(-5) . . . . divide by -5

  y = 2/5x -9/5

The coefficient of x is 2/5. That is the slope of the line.

The slope is 2/5.

5 0
3 years ago
This year, a small business had a total renvue of 51,000. If this 36% more than their total renvue the previous year, what was t
kenny6666 [7]

Answer: well your answer is 18360

Step-by-step explanation: so let's say 51,000 is 100% and x is what where looking for, we know x is 36% so write x=36% the you have 51,000=100% now you have two simple equations.

5 0
3 years ago
What quadrant does -495 lie in?
Sati [7]
It would lie between 180 and 220
7 0
3 years ago
I'll give points and brainalist for answer / explanation
Leto [7]

Answer:

c is answer of this question

7 0
3 years ago
Read 2 more answers
First person to answer get brainliest. 75 × 62 - 58 + 68 - 58
Ksivusya [100]

Answer:

4602

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Other questions:
  • Brainliest answer gets the mark. Plus 25pts. Help me please!!!A store is having a sale on chocolate chips and walnuts. For 5 pou
    7·1 answer
  • Goran deposits $4000 into an account that pays simple interest rate at %3 per year. How much interest will he be paid in the fir
    6·1 answer
  • I really need the answers for 6-8
    11·1 answer
  • Please help, the picture shows what the question is, thanks!
    14·1 answer
  • How do you solve 34.86 x 1.2?
    14·1 answer
  • (b) How much the selling price should be fixed for pulse bought for Rs.70 per kg. to earn a profit of Rs.6 after allowing a 5 %
    13·1 answer
  • What is 4/5 written as a percentage
    14·2 answers
  • I love you NO H O M O ;)
    11·1 answer
  • What is <br> 2983x + (129x123) -3818<br> x=969
    7·1 answer
  • During a school event, there were 8 times as many pupils as teachers and there were three times as many boys as girls. There wer
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!