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
Usimov [2.4K]
4 years ago
12

What is the equation of the following line written in slope intercept form? (-5,-1)

Mathematics
1 answer:
solmaris [256]4 years ago
4 0

Answer:

\large\boxed{y=-\dfrac{2}{3}x-\dfrac{13}{3}}

Step-by-step explanation:

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

y=mx+b

m - slope

b - y-intercept

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

From the graph we have two points (-5, -1) and (-2, -3).

<em>Look at the picture</em>.

Calculate the slope:

m=\dfrac{-3-(-1)}{-2-(-5)}=\dfrac{-2}{3}=-\dfrac{2}{3}

Put it to the equation in slope-intercept form:

y=-\dfrac{2}{3}x+b

We can't read the y-intercept from the graph. Therefore put the coordinates of the point (-5, -1) to the equation and calculate <em>b</em>:

-1=-\dfrac{2}{3}(-5)+b

-1=\dfrac{10}{3}+b         <em>subtract 10/3 from both sides</em>

-\dfrac{3}{3}-\dfrac{10}{3}=b\to b=-\dfrac{13}{3}

Finally:

y=-\dfrac{2}{3}x-\dfrac{13}{3}

You might be interested in
I need help with this i need u to help ne wit the number line
kupik [55]
Word the problem so it helps you with the double number line like this:
Question:
If 1/6 mile of a fence is completed each hour how long will it be in 4 hours?

Then use the double line:

1/6-----miles(1/6*4)------X  Length  X=1/6*4
  I                                                    X= 1/6*4/1
  I                                                    X= 4/6 ≈2/3 miles 
 1-------hours--------------4  Time
Here is a video that might help with your homework a lot :) Good luck
https://www.youtube.com/watch?v=89VhAPhvNcA

4 0
3 years ago
I literally cannot understand polynomials. Whats the difference between that and BEDMAS? Wouldnt we follow the same rules as BED
ahrayia [7]
It’s called PEMDAS
;)
3 0
3 years ago
Which multiple choice is it?
Nezavi [6.7K]

Answer:

4

Step-by-step explanation:

5 0
3 years ago
Which of the following is a factor​
vitfil [10]

Answer:

(3x-8)

Step-by-step explanation:

6x^2-13x-8=(3x-8)(2x+1)

Thus, (3x-8) is one of the factors of the formula.

3 0
3 years ago
You just looked at the graph of this system of equations. Why will the lines never intersect? y = –x + 5 y = –x – 3
IceJOKER [234]

Sample Response:

<em>The linear equations have the same slope, so the rate of change for each is the same. As long as the rate of change is the same, the lines will stay the same distance apart and not intersect.</em>

<em />

4 0
3 years ago
Read 2 more answers
Other questions:
  • If A = 34 degrees, what must be the measure of D in order for ABC to be similar to DEF?
    8·2 answers
  • The sum of the cost dinner d and a $32 tip divided equally between 4 people
    9·1 answer
  • 1/2 - 3/4 equals what
    15·1 answer
  • POSSIBLE POINT<br> Evaluate each expression if a = 4, b = 6, and c = 2<br> What is<br> ab - c
    7·1 answer
  • Determine the equation of a line through the point (3,-4) that is perpendicular to the line y=3x+7
    10·1 answer
  • If f (5) = 3.7 and f (6) = 8.7<br>f ( 7 ) =<br>f ( 8 ) =<br>Recursive Function:<br>pls help me ​
    13·1 answer
  • What is the answer help plz
    12·1 answer
  • La profesora repartió témperas del mismo tamaño entre los chicos. Mariana usó 3/5 de su pote y Juan 3/4 del suyo. ¿Quién usó may
    8·1 answer
  • Kim spent $44 on eating utensils. Spoons cost $4 and forks cost $6. If she bought a total of 9 utensils then how many of each ki
    5·2 answers
  • 1/2s^3 - 5s; if s =4
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!