Which two pairs of points lie on perpendicular lines?
a. (-6,-,18)
b. (6,,12)
c. (-4,,3)

(-6,-8),(7,18) and (-4,6),(2,3) lie on perpendicular lines

Step-by-step explanation:

we know that

The formula to calculate the slope between two points is equal to

step 1

Find the slope of the pair (-6,-8),(7,18)

substitute

step 2

Find the slope of the pair (6,4),(4,12)

substitute

step 3

Find the slope of the pair (-4,6),(2,3)

substitute

step 4

Remember that

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

In this problem

and are opposite reciprocal

therefore

(-6,-8),(7,18) and (-4,6),(2,3) lie on perpendicular lines

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: