Given the line with equation 7 − 2 = 8, a) write the equation in slope-intercept form. b) state the slope of the line. c) state the y-intercept of the line as an ordered pair.

Hey there!!

The basic slope-intercept formula :

y = mx+ b where ' m ' is the slope and ' b ' is the slope-intercept.

Given equation : 7x - 2y = 8

We will have to isolate the ' y '

... 7x - 2y = 8

Subtract 7x on both sides

... -2y = -7x + 8

Divide by - 2 on both sides

... y = ( 7x / 2 ) - 4

Hence,

slope = 7/2 = 3.5

y-intercept = ( 0 , -4 )

Hope it helps!!

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: