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lesya [120]
1 year ago
10

What is the equation of the line that passes through the points (5,3) and (9,-13)?

Mathematics
1 answer:
vekshin11 year ago
6 0

The equation of the line that passes through the given points is            y= -4x+23.

<h3>Linear Function</h3>

A line can be represented by a linear function. The standard form for the linear equation is: ax+b , for example, y=2x+7. Where:

a= the slope

b=constant term that represents the y-intercept.

From the stardard form equation:

  • For point (5,3) : 3=5a+b ( equation 1)
  • For point (9,-13) : -13=9a+b (equation 2)

Solving the system for equations 1 and 2.

3=5a+b

-13=9a+b * (-1)

3=5a+b

13=-9a-b * (-1)

16= -4a

4= -a

a= -4

If a= -4 from equation 1, you have

3= 5 * (-4)+b

3= -20+b

b=23

Therefore, the line equation is y= -4x+23.

Read more about the system linear equations here:

brainly.com/question/12691830

#SPJ1

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A collection of numerical information, such as the scores on a test, is referred to as simple random sampling.True / False.
Nimfa-mama [501]

Answer:

False. See explanation below.

Step-by-step explanation:

False

A simple random sample "is a subset of a statistical population in which each member of the subset has an equal probability of being chosen"

In other words that means in order to apply a random sampling we need to ensure that we have the same probability of inclusion for every possible element of the population of interest.

And for this case a collection of any numerical information is not referred as random sampling since we don't know if these scores are representative of the population of interest.

And we don't know if this information is obtained using any sampling frame or sampling methodology.  

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Alex73 [517]

The correct answer should be D.

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Step-by-step explanation:

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SVETLANKA909090 [29]

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\huge\boxed{\bf\:c = \frac{11}{4}}

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Bring 4 to the right hand side if the equation.

\boxed{\bf\:c = \frac{11}{4}}

\rule{150pt}{2pt}

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iragen [17]
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x ≈ 29.36°

hope this helps!
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