Which equation represents the line that passes through the points (-2,2) And is parallel to give line Y equals 1/2x+8

y = x/2 + 3

Step-by-step explanation:

Step 1: find the slope

y = 1/2x + 8

Equation of a line

y = mx + c

m = 1/2

Step 2 : using a point slope form equation

y - y1 = m( x - x1)

( -2 , 2)

x1 = -2

y1 = 2

y - 2 = 1/2( x - (-2)

y - 2 = 1/2( x + 2)

y - 2 = (x + 2)/2

y = ( x + 2)/2 + 2

LCM = 2

y = (x + 2 + 4)/2

y = ( x + 6)/2

Separate to get the slope and the intercept

y = x/2 + 6/2

y = x/2 + 3

The equation of the line is

y = x/2 + 3