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
BaLLatris [955]
2 years ago
6

Write an equation in standard form for the line that has slope 1/3 and passes through (-2, 8)

Mathematics
1 answer:
Y_Kistochka [10]2 years ago
6 0

Answer:

<h2>         -x + 3y = 26            </h2>

Step-by-step explanation:

The equation of a line which passes through <em>(x₁, y₁)</em> and with slope of <em>m</em> in point-slope form:

                              y - y₁ = m(x - x₁)

m = ¹/₃

(-2, 8)    ⇒   x₁ = -2,  y₁ = 8

Therefore,  the equation of the line which passes through (-2, 8) and with slope of 1/3 in point-slope form:

y - 8 = ¹/₃(x - (-2))

y - 8 = ¹/₃x + ²/₃                   {multiply both sides by 3}

3y - 24 = x + 2                    {subtract x from both sides}

-x + 3y - 24 = 2                     {add 24 to both sides}

-x + 3y = 26

You might be interested in
Please explain i will mark brainliesttt!
Sati [7]

Answer:

<em>Answer is </em><em>given below with explanations</em><em>. </em>

Step-by-step explanation:

given \: the \: line \: n \: passes \: through \\  \: ( - 3, - 7.5) \:  \: and(2, - 5) \\ the \: equation \: of \: the \: line \: is \\  \frac{y - y1}{y2 - y1}  =  \frac{x - x1}{x2 - x1}  \\ here \: x1 =  - 3 \:  \:  \: y1 =  - 7.5 \\ and \:  \: x2 = 2 \:  \:  \: y2 =  - 5 \\  \frac{y - ( - 7.5)}{ - 5 - ( - 7.5)}  =  \frac{x - ( - 3)}{2 - ( - 3)}  \\  \frac{y + 7.5}{ - 5 + 7.5}  =  \frac{x + 3}{2 + 3}  \\  \frac{y + 7.5}{2.5}  =  \frac{x + 3}{5}  \\ dividing \: by \: 5 \: on \: both \: side s\\  \frac{y + 7.5}{0.5}  =  \frac{x + 3}{1}  \\ 0.5(x + 3) = y + 7.5 \\ 0.5x + 1.5 = y + 7.5 \\ 0.5x - y - 6 = 0 \\ is \: the \: required \: equation.

<em>HAVE A NICE DAY</em><em>!</em>

<em>THANKS FOR GIVING ME THE OPPORTUNITY</em><em> </em><em>TO ANSWER YOUR QUESTION</em><em>. </em>

5 0
3 years ago
In a doctor's waiting room, there are 14 seats in a row. Eight people are waiting to be seated. Three of the 8 are in one family
lianna [129]
There are 14 chairs and  8 people to be seated. But among the 8. three will be seated together:

So 5 people and (3) could be considered as 6 entities:

Since the order matters, we have to use permutation:

¹⁴P₆ = (14!)/(14-6)! = 2,162,160, But the family composed of 3 people can permute among them in 3! ways or 6 ways. So the total number of permutation will be ¹⁴P₆  x 3! 

2,162,160 x 6 = 12,972,960 ways.

Another way to solve this problem is as follow:

5 + (3) people are considered (for the time being) as 6 entities:

The 1st has a choice among 14 ways
The 2nd has a choice among 13 ways
The 3rd has a choice among 12 ways
The 4th has a choice among 11 ways
The 5th has a choice among 10 ways
The 6th has a choice among 9ways

So far there are 14x13x12x11x10x9 = 2,162,160 ways
But the 3 (that formed one group) could seat among themselves in 3!
or 6 ways:

Total number of permutation = 2,162,160 x 6 = 12,972,960

4 0
3 years ago
How do you work out <br> 5x71
Gwar [14]

Answer:

355

Step-by-step explanation:

8 0
3 years ago
A kite has vertices at (2, 4), (5, 4), (5, 1), and (0, –1).
JulsSmile [24]
The answer is 16.8 units
7 0
3 years ago
Read 2 more answers
Select the correct answer. A triangle has vertices (-1, 2), (3, 1), and (7, 2). What is the approximate perimeter of th...
Eva8 [605]

Answer:

16.24 Units

Step-by-step explanation:

The perimeter of the triangle is the sum of the length of the sides of the triangle. Given the points on the vertices, the length of each side may be found using the formula

Length = √(x2 - x1)^2 + (y2 - y1)^2

Considering the pair (-1, 2), (3, 1), the length of that side

= √(3 -- 1)^2 + (1-2)^2)

= √(16 + 1)

= √17 units

Considering the pair (-1, 2), (7, 2), the length of that side

= √(7 -- 1)^2 + (2-2)^2)

= √(64)

= 8

Considering the pair  (3, 1),  and (7, 2), the length of that side

= √(7 - 3)^2 + (2  - 1)^2

= √(16 + 1)

= √17

Hence the perimeter of the triangle

= √17 + 8 + √17

= 4.12 + 8 + 4.12

= 16.24 Units

5 0
3 years ago
Other questions:
  • Select the three ratios that represent the number of blue marbles to red marbles.
    5·2 answers
  • Can someone please help me with #3?
    5·1 answer
  • Subtract. (5x2−3x−2)−(−2x2−x+10) Express the answer in standard form. Enter your answer in the box.
    6·2 answers
  • 32 tens is the same as what
    8·1 answer
  • HELOOOOOOOOOOO ANYBODY THERE
    5·1 answer
  • PLEASE HELP!!! I tried everything from dividing, adding, subtracting, multiplying, you name it but I can not seem to get the cor
    9·2 answers
  • If 7x7 is 49 what is 77x77?
    5·2 answers
  • BRIANLISTT TO WHO ANSWERS WRITE
    6·2 answers
  • I need help with this please
    7·2 answers
  • What is the average speed of a car that traveled 300 miles in 5 hours?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!