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
Kobotan [32]
1 year ago
9

Write an equation that represents the line. Use exact numbers. (-2,-1) (4,6)

Mathematics
1 answer:
vazorg [7]1 year ago
6 0

Check the picture below.

to get the equation of any straight line, we simply need two points off of it, so let's use those in the picture

(\stackrel{x_1}{-2}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{6})~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{6}-\stackrel{y1}{1}}}{\underset{run} {\underset{x_2}{4}-\underset{x_1}{(-2)}}} \implies \cfrac{6 -1}{4 +2} \implies \cfrac{ 5 }{ 6 }

\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}{1}=\stackrel{m}{\cfrac{5}{6}}(x-\stackrel{x_1}{(-2)})\implies y-1=\cfrac{5}{6}(x+2) \\\\\\ y-1=\cfrac{5}{6}x+\cfrac{5}{3}\implies y=\cfrac{5}{6}x+\cfrac{5}{3}+1\implies y=\cfrac{5}{6}x+\cfrac{8}{3}

You might be interested in
Which of the following describes a situation in which the total distance a ball travel is zero meters from its starting point?
shtirl [24]

Answer:

2nd choice: The ball first bounced up to the height of 2 meters, and then falls 2 meters towards the ground

Step-by-step explanation:

3 0
3 years ago
Estimate 137,638 plus 52,091
seraphim [82]
First round
137,638=100,000
52,091=50,000
Then add to get the estamate
100,000
+
  50,000
150,000
Then to get the real answer add
      1
137,638
+
   52091
 189,729



8 0
3 years ago
Read 2 more answers
In 1956, Dwight Eisenhower became President with 58% of the vote.
denis23 [38]

Answer:

29/50

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
TRUE or FALSE?<br><br> 1.) If x = -3, then the value of 4x + 5 is 17.
Strike441 [17]
<h2>I think it's <u>false</u></h2>

<h2><u><em>I</em><em> </em><em>hope</em><em> </em><em>it's</em><em> </em><em>helpfull </em><em>for</em><em> you</em></u></h2>
8 0
3 years ago
Read 2 more answers
A set of books that are each 1.5 inches wide are being organized on a bookshelf that is 36 inches wide. How many books can fit o
zimovet [89]

Answer:

24 books.

Step-by-step explanation:

The number of books that that can be fitted into the shelf is equal to the width of the self divided by the width of each book:

\boxed{n=\frac{36inches}{1.5inches} =24\:books }

3 0
3 years ago
Other questions:
  • Use the arc length formula to find the length of the curve y = 3x − 2, −3 ≤ x ≤ 1. check your answer by noting that the curve is
    12·1 answer
  • Y=x^3-4x^2+7 describe the end behavior of the polynomial
    15·1 answer
  • Could someone please check the Answer to my Math problem, Thank you.
    6·1 answer
  • Find the general solution for the differential equation \displaystyle{\left.{d}{y}\right.}+{9}{x}\ {\left.{d}{x}\right.}={0}dy+9
    5·1 answer
  • In a year, there are 12 months. Seven months have 31 days. How many have 28 days? *​
    6·2 answers
  • Find the image of (-1,3) translated 2 units down and rotated 180 degrees counterclockwise
    5·1 answer
  • What is the slope of Y= x +5
    13·2 answers
  • Which is equivalent to 4 radical 9^1/2x
    12·1 answer
  • The graph of a quadratic function is shown on the grade.
    5·1 answer
  • 1<br> x 1.0 -<br> =<br> 10<br> 1 <br> -<br> 10 x 1.0
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!