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Sveta_85 [38]
3 years ago
10

Find the point-slope equation for the line that passes through the points (3,27) and (-8,-61). Use the first point in your equat

ion.
Mathematics
1 answer:
Llana [10]3 years ago
5 0

Answer:

\huge\boxed{y-27=8(x-3)}

Step-by-step explanation:

The point-slope form of an equation of a line:

y-y_1=m(x-x_1)

where

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

We have the points (3, 27) and (-8, -61).

Calculate the slope <em>m</em>:

m=\dfrac{-61-27}{-8-3}=\dfrac{-88}{-11}=8

Susbtitute to the equation of a line:

y-27=8(x-3)

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Step-by-step explanation:

Step  1  :

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Rewriting the whole as an Equivalent Fraction :

4.1   Adding a fraction to a whole

Rewrite the whole as a fraction using  x2  as the denominator :

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Let us test ....

  P    Q    P/Q    F(P/Q)     Divisor

     -1       1        -1.00        5.00    

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     -4       1        -4.00        -112.00    

     1       1        1.00        3.00    

     1       2        0.50        2.75    

     2       1        2.00        14.00    

     4       1        4.00        120.00    

Polynomial Roots Calculator found no rational roots

Final result :

 2x3 - 3x + 4

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Processing ends successfully

plz mark me as brainliest :)

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