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
nikklg [1K]
1 year ago
12

Find the standard equation of a line that passes through these two points: (-3, 4) and (2, 2)

Mathematics
1 answer:
Fed [463]1 year ago
5 0

standard form for a linear equation means

• all coefficients must be integers, no fractions

• only the constant on the right-hand-side

• all variables on the left-hand-side, sorted

• "x" must not have a negative coefficient

(\stackrel{x_1}{-3}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{2})~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{2}-\stackrel{y1}{4}}}{\underset{run} {\underset{x_2}{2}-\underset{x_1}{(-3)}}} \implies \cfrac{2 -4}{2 +3} \implies \cfrac{ -2 }{ 5 }

\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{4}=\stackrel{m}{-\cfrac{2}{5}}(x-\stackrel{x_1}{(-3)})\implies y-4=-\cfrac{2}{5}(x+3) \\\\\\ \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{5}}{5(y-4)~~ = ~~5\left( -\cfrac{2}{5}(x+3) \right)}\implies 5y-20=-2(x+3) \\\\\\ 5y-20=-2x-6\implies 2x+5y-20=-6\implies 2x+5y=14

You might be interested in
katie can build three staircases to make 36 obstacles against the other player. how many staircases will she need to make 24 obs
son4ous [18]

Answer:

i think it'd be 2

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Can someone help me please!!!!!!!
Nataly [62]
The anwser is B.Hope this helps! Make sure to give a 5 star rating and a big old THANKS!
3 0
3 years ago
Describe a situation for these graphs
slava [35]
Ew i hate these⇆∈√,×≈↓⇒∈∧⊂∴∵√²³Ф≠→Ф
5 0
3 years ago
What’s the slope of a line that passes through the points (-3,7) and (-3, 4)?
Dmitry_Shevchenko [17]

Answer: The slope should be infinity.

Step-by-step explanation: I hope this helps you!

4 0
3 years ago
Read 2 more answers
A drawer contains 4 red socks, 7 white socks, and 11 blue socks. Without looking, you draw out a sock and then draw out a second
Nana76 [90]
Total socks = 4 + 7+ 11 = 22
Red = 4
White = 7

P(red, then white) = (4/22)(7/21) = 2/33

Answer: 2/33
8 0
3 years ago
Other questions:
  • Irina has 10 coins, all nickels and dimes, worth a total of $0.70. This is shown by the system of linear equations, x + y = 10 a
    7·1 answer
  • Write two expressions that represent the sum of w and 8<br><br> PLEASE HELP ASAP
    13·1 answer
  • two times a number plus one is greater than five and less than seven. (write an inequality) and solve
    12·1 answer
  • What is 81 rounded to the nearest ten?
    15·2 answers
  • Help pls this is a missing assignment
    13·2 answers
  • Please answer this question now in two minutes
    12·2 answers
  • maria draws one marble from a bag containing 5 red, 3 green, and 4 yellow. the probability she draws a yellow marble is____
    7·1 answer
  • Keenan has 8 coins worth $0.70. If the coins are all dimes and nickels, how many dimes and nickels does he have?
    13·1 answer
  • Dillon made $27 in interest by placing $300 in a savings account with simple interest for 1
    14·1 answer
  • The mean weight of NINE players on a Basketball team is 177 POUNDS. Find the total weight of the nine players.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!