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natima [27]
3 years ago
8

Write the equation of the line that passes through the points (2, 1) and (5, -8)

Mathematics
1 answer:
My name is Ann [436]3 years ago
4 0

Answer:

The answer is y = -3x + 7.

Step-by-step explanation:

❃Incase you forgot what the linear equation formula is ☟

y = mx + b

❃Incase you also forgot, what the slope formula is ☟

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

➊ First: We are going to be solving for the slope.

m =  \frac{ - 8 - 1}{5 - 2}  =  \frac{ - 9}{ \:  \:  \: 3}  =  - 3

➋Second: We find the y-intercept.

y = mx + b \\ 1 = - 3(2) + b \\ 1 = - 6 + b \\ \frac{ + 6 = + 6 \: \: \: \: \:  \:  \:  \:  \: }{7 = b}

➌Third: Plug in.

y =  - 3x + 7

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What is the equation of a line parallel to y = 2x + 3 and passes through the point (2, 1)?
kherson [118]

Answer:

<u>y-1=2</u>

x-2

y-1=2x-4

y=2x-3

Step-by-step explanation:

5 0
3 years ago
Find the hcf of px4 + px ,qx3 _ qx ​
Deffense [45]

Step-by-step explanation:

1st expression

= px^4 + px

= px ( x³ + 1 )

= px ( x + 1) (x² - x + 1)

2nd expression

= qx³ - qx

= qx ( x² - 1 )

= qx ( x + 1) ( x - 1)

HCF = x ( x + 1)

Hope it will help :)❤

8 0
3 years ago
For the data set below, compute the standard deviation. Round to the nearest hundredth. 2, 3, 5, 8 2.03 2.20 2.6 4.5
exis [7]
The \ standard \ deviation  = &#10; \sqrt{ \frac{1}{n} \sum ( x_{i} -  \mu  )^2 } &#10;\\ where: \\&#10;n \ is\  the \  number \  of  \ elements \\&#10; x_{i}  \ element  \ number \  i \\&#10;\mu \ is \ the \ mean \ of \ the \ elements &#10;

The elements are :
<span>                                2,3,5,8,2.03,2.20,2.6,4.5
n = 8

</span>μ = ( <span>2 + 3 + 5 + 8 + 2.03 + 2.20 + 2.6 + 4.5 )/8 = 3.66625

sum = (</span> 2 - <span>3.66625)² + ( 3 </span><span>- 3.66625)² + ( 5 </span><span>- 3.66625)² + ( 8 </span><span>- 3.66625)² +
( 2.03 </span><span>- 3.66625)² + ( 2.20 </span><span>- 3.66625)² + ( 2.6 </span><span>- 3.66625)² + ( 4.5 </span>- <span>3.66625)²
      = 30.44

∴ </span>The standard deviation = √ (30.44 / 8)
                                         ≈ 1.95 ( <span>to the nearest hundredth )</span>











7 0
4 years ago
Find all the values of x (where 0 &lt; or equal to x and x &lt; pi/2) in terms of pi for which cos(6x)=0
statuscvo [17]
         cos(6x) = 0
cos⁻¹[cos(6x)] = cos⁻¹(0)
                 6x = 90
                  6      6
                    x = 15°
                    x = ¹/₁₂π radians

         cos(6x) = 0
<span>cos⁻¹[cos(6x)] = cos⁻¹(0)
</span>                 6x = 270
                  6       6
                    x = 45
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         cos(6x) = 0
<span>cos⁻¹[cos(6x)] = cos⁻¹(0)
</span>                 6x = 450
                  6       6
                    x = 75
                    x = ⁵/₁₂π radians
5 0
3 years ago
MUST HELP!!!! (+10 POINTS +BRANILEST +5 STARS +THANKS ON PROFILE)
g100num [7]

Answer:

Imagery

Imagery includes language that appeals to all of the human senses, including sight, hearing, taste, touch, and smell.

I think its imagery because the narrator describes that the character stood firmly, was held, rootless in mid air, etc..

Step-by-step explanation:

:))

6 0
3 years ago
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