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Zolol [24]
2 years ago
8

Huuuurrry plllzzzzzz. Determine the equation of the line that passes through the given points (2,6) and (4,16)

Mathematics
1 answer:
satela [25.4K]2 years ago
8 0
<h2>Linear Equations</h2>

Linear equations are typically organized in slope-intercept form:

y=mx+b

  • <em>m</em> is the slope of the line
  • <em>b</em> is the y-intercept (the value of <em>y</em> when the line passes through the y-axis)

To find linear equations in slope-intercept form:

  1. Determine the slope
  2. Plug the slope into the general form
  3. Determine the y-intercept by isolating <em>b</em>
  4. Plug the <em>b</em> back into the equation

<h2>Solving the Question</h2>

We're given:

  • The line passes through the points (2,6) and (4,16)

First, determine the slope of the line.

m=\dfrac{y_2-y_1}{x_2-x_1} where (x_1,y_1) and (x_2,y_2) are points that fall on the line

⇒ Plug in the given points (2,6) and (4,16):

m=\dfrac{16-6}{4-2}\\\\m=\dfrac{10}{2}\\\\m=5

⇒ Therefore, the slope of the line is 5. Plug this back into the general form:

y=5x+b

Now, determine the y-intercept.

y=5x+b

⇒ Plug in one of the given points:

6=5(2)+b\\6=10+b\\b=-4

⇒ Therefore, the y-intercept is -4. Plug this back into our original equation:

y=5x-4

<h2>Answer</h2>

y=5x-4

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lakkis [162]

Answer:

A = Quartile 1 = 74.725

B = Median (quartile 2) = 80.25

C = Quartile 3 = 82.125

D = Minimum = 74.1

E = Maximum = 82.7

Step-by-step explanation:

The values for the data for the average life expectancy are as follows;

North Carolina                    79.6  

Oregon                                82  

District of Columbia           77.9

Nevada                               81.3  

New York                           82.5  

Colorado                            80.9  

Alaska                                74.9  

Connecticut                       82.7  

Montana                            74.1  

Mississippi                         74.2  

Sorting the data we have;

74.1

74.2

74.9

77.9

79.6

80.9

81.3

82

82.5

82.7

The minimum value is 74.1

The maximum value is 82.7

The 1st quartile is the \frac{10 + 1}{4} th term or 74.725

The median 2nd quartile is the \frac{10 + 1}{2} th term and the value is 80.25

Third quartile value is the\frac{3\times (10 + 1)}{4} th term or 82.125.

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9² = 5² + 7² − 2(5)(7) cos C

81 = 25 + 49 − 70 cos C

81 = 25 + 49 − 70 cos C

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A book costs $ 67. How much will be paid for 102 such books?​
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The screening process for detecting a rare disease is not perfect. Researchers have developed a blood test that is considered fa
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Answer:

Type I: 1.9%, Type II: 1.6%

Step-by-step explanation:

given null hypothesis

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type 1 error-falsely rejecting the null hypothesis

⇒   actually the null hypothesis is true⇒the individual has not taken steroids.

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⇒actually null hypothesis is false ⇒the individual has taken steroids.

but we didnt reject⇒the individual has not taken steroids.

let us denote

the individual has taken steroids by 1

the individual has not  taken steroids.by 0

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                              1       0

   actual          1    98.4%  1.6%

                        0   1.9%   98.1%

so for type 1 error  

 actual-0

predicted-1

therefore from above table we can see that probability of Type I error is 1.9%=0.019

so for type II error

   actual-1

predicted-0

therefore from above table we can see that probability of Type I error is 1.6%=0.016

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