Write an equation of the line that passes through (-3,10) and is parallel to the line y= -2x-9

The equation of the parallel line  2x +y -4=0

Step-by-step explanation:

Step(i):-

Given that the equation of the straight line y = -2x -9

                                                           2x + y +9=0

Given that the Point (-3,10)

Step(ii):-

Equation of the parallel line to the given line

    ax +by +k=0

Now , The equation of the parallel line

  2x + y +k =0

this line is passes through the point (-3,10)

 2(-3)+10+k=0

⇒ 4 +k=0

⇒    k = -4

Final -

The equation of the parallel line  2x +y -4=0

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation:

answer: howdy

step-by-step explanation: