The median (the green line) connects the vertex
A(3,4) to the midpoint of the opposite side CB. 

We find the midpoint of CB using the midpoint
formula:

Midpoint = 

Midpoint = 

Midpoint = 

Midpoint = M(0,-2)

We find the equation of median AM.

We use the slope formula:

m = 

where (x1,y1) = A(3,4)

and where (x2,y2) = M(0,-2)

m = 

m = 

m = 2

Point-slope formula:

y - y1 = m(x - x1)

where m=2 and (x1,y1) = (3,4)

y - 4 = 2(x - 3)

y - 4 = 2x - 6

    y = 2x - 2

Edwin