Respuesta :

y = 1/2x + 3...slope here is 1/2. A parallel line has the same slope.

no need to go any further because the only answer choice that has a slope of 1/2 is : y = 1/2x + 6
y = (1/2)x + 3

comparing to y = mx + c,   slope , m = (1/2)

So if a line is parallel to another, the slopes are the same.

For the second line to be parallel, the slope would be =(1/2) and it passes through (4 , 8)

Using y = mx + c,             x = 4,   y = 8,  m = (1/2)

8 = (1/2)*4 + c

8 = 2 + c

8 - 2 = c

6 = c

So the equation y = mx + c is    y = (1/2)x + 6

Equation is y = (1/2)x + 6

Last option. 

Hope this helps.