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PilotLPTM [1.2K]
3 years ago
15

What is an equation in point-slope form of the line shown below?

Mathematics
2 answers:
NNADVOKAT [17]3 years ago
7 0

Answer:

Answer:

Hence,  is the required equation of line.

Step-by-step explanation:

A line is passing through the coordinates (-4,1) and (4,-3).

The equation of the line passing through () and () is given by:

Here we have:    and

so on substituting in the formula we have:

Hence,  is the required equation of line.

Step-by-step explanation:

jeka943 years ago
4 0

Answer:

Hence, y-1=\dfrac{-1}{2}(x+4) is the required equation of line.

Step-by-step explanation:

A line is passing through the coordinates (-4,1) and (4,-3).

The equation of the line passing through (x_1,y_1) and (x_2,y_2) is given by:

y-y_1=\dfrac{y_2-y_1}{x_2-x_!}(x-x_1)

Here we have:   (x_1,y_1)=(-4,1) and (x_2,y_2)=(4,-3)

so on substituting in the formula we have:

y-1=\dfrac{-3-1}{4-(-4)}(x-(-4))\\ \\y-1=\dfrac{-4}{8}(x+4)\\\\y-1=\dfrac{-1}{2}(x+4)

Hence, y-1=\dfrac{-1}{2}(x+4) is the required equation of line.


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Stacey is selling tickets to the school play. The tickets are $8 for adults and $3 for children. She sells twice as many adult t
Leona [35]

48 adult tickets and 24 children tickets were sold.

Step-by-step explanation:

Given,

Cost of one adult ticket = $8

Cost of one child ticket = $3

Total worth of sold tickets = $456

Let,

Number of adult tickets sold = x

Number of child ticket sold = y

According to given statement;

8x+3y=456     Eqn 1

x = 2y              Eqn 2

Putting value of x from Eqn 1 in Eqn 2

8(2y)+3y=456\\16y+3y=456\\19y=456

Dividing both sides by 19

\frac{19y}{19}=\frac{456}{19}\\y=24

Putting y=24 in Eqn 2

x=2(24)\\x=48

48 adult tickets and 24 children tickets were sold.

Keywords: linear equation, substitution method

Learn more about linear equations at:

  • brainly.com/question/11253316
  • brainly.com/question/11258952

#LearnwithBrainly

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Step-by-step explanation:

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