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
In-s [12.5K]
3 years ago
5

What is the equation of this graphed line?

Mathematics
1 answer:
barxatty [35]3 years ago
4 0

Answer:

y=-\frac{1}{3}x-5

Step-by-step explanation:

Given:

The two points on the line are:

(x_1,y_1)=(-6,-3)\\(x_2,y_2)=(6,-7)

Now, for a line with two points on it, the slope of the line is given as:

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

For the points (x_1,y_1)=(-6,-3)\ and\ (x_2,y_2)=(6,-7), slope is:

m=\frac{-7-(-3)}{6-(-6)}\\m=\frac{-7+3}{6+6}\\m=\frac{-4}{12}=-\frac{1}{3}

Now, for a line with slope 'm' and a point (x_1,y_1) on it is given as:

y-y_1=m(x-x_1)

Plug in all the values and determine the equation of the line. This gives,

y-(-3)=-\frac{1}{3}(x-(-6))\\\\y+3=-\frac{1}{3}(x+6)\\\\y+3=-\frac{1}{3}x-\frac{1}{3}\times 6\\\\y+3=-\frac{1}{3}x-2\\\\y=-\frac{1}{3}x-2-3\\\\y=-\frac{1}{3}x-5

Therefore, the equation of the line is:

y=-\frac{1}{3}x-5

You might be interested in
Lucas wants to use the box with the greatest volume.<br> Which shipping box should he use?<br> Box_
serious [3.7K]

Answer:

He will use the D box because it has a volume of

27 {ft}^{3}

Step-by-step explanation:

a)v = whl \\  = 1 \times 5 \times 3 \\  = 15 {ft}^{3}

b) \: v = whl \\  = 3 \times 4 \times 2 \\  = 24 {ft}^{3}

c) \: v =  \: whl\\ =  2 \times 7 \times 1 \\  = 14 {ft}^{3}

d) \: v = whl \\  = 3 \times 3 \times 3 \\  = 27 {ft}^{3}

<em>hope</em><em> </em><em>this</em><em> </em><em>helps</em>

<em>brainliest</em><em> </em><em>appreciated</em>

<em>good</em><em> </em><em>luck</em><em>!</em><em> </em><em>have</em><em> </em><em>a</em><em> </em><em>nice</em><em> </em><em>day</em><em>!</em><em>!</em>

8 0
2 years ago
Read 2 more answers
One side of a triangle is 3 times the second side. The third side is 17 feet longer than the second side. The perimeter of a
Nadya [2.5K]

Answer:

Step-by-step explanation:

lets have one side =a

P=3a+a+(17+a)=52

P=5a+17=52

5a=52-17

5a=35

a=7

second side=21

third side=24

3 0
3 years ago
Solve the system of equations by graphing. <br><br> x+y=3<br> y=2x−15
Stella [2.4K]

Hey!

Hope this helps...

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

x + y = 3

x = 3 - y


y = 2x - 15

y = 2(3 - y) - 15

y = 6 - 2y - 15

y = -2y - 9

3y = -9

y = -3


y = 2x - 15

-3 = 2x - 15

-2x = -12

x = 6


So...

The answer is: (6, -3)

4 0
3 years ago
Read 2 more answers
Two trains, train A and train B, weigh a total of 251 tons. Train A is heavier than Train B. The difference of their weights is
olga55 [171]
Train A weighs 181 tons and train B weighs 70 tons.
3 0
2 years ago
Which number will come next 4, 5, 9, 18, 34, 59…?
GaryK [48]

Answer: 95

34 + 59 = 95

6 0
3 years ago
Other questions:
  • What is the answer to Y=-1/5x-5 y=2/5x-2
    8·1 answer
  • Find the product 12,-5
    9·1 answer
  • How do u write negative 2/9 in a decimal
    12·1 answer
  • how do you get the answer for 1 5 over 8 and decimal 1.625 PLZ HELP I WILL GIVE YOU 50 POINTS FOR THIS
    12·1 answer
  • Are these the correct answers? I hunk I got some wrong pls help
    8·1 answer
  • Amanda is on the swim team. Each week she swims a total of 6000 meters. How many kilometers does she swim each week ?
    13·1 answer
  • . The graph below shows the relationship between the number of calories burned by William and the number of minutes he spends jo
    7·1 answer
  • Which ordered pair could be removed to make this relation a function?
    15·2 answers
  • Helppppppppppppp pweaseeeeeeeeee T_T
    12·2 answers
  • . 3(a - 2) – 4(2a - 3)
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!