Write an equation of a line that passes through the point (-2, 4) and has a
slope of 5.

y = 5x + 14

Step-by-step explanation:

An equation consists of y = mx + b. The m is the slope, which we already know is 5.

To find the y-intercept, plug the coordinates into the equation so far, which is y = 5x + b.

y = 5x + b

4 = 5(-2) + b

4 = -10 + b

14 = b

So the equations is y = 5x + 14.

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: