Answer:
The equation is y = - 1/2 x+7
Step-by-step explanation:
2 x + 4y = 6
4y = -2 x +6
Divide both sides by 4
y = - 1/2 x + 3/2
y=mx+b
slope m = - 1/2
The slope of a line parallel to another line will be the same
The slope of the required line will be - 1/2
m= - 1/2 ,point ( 6 , 4 )
Plugging the values of m and the point in
y=mx+b
4 = -3 + b
b= 7
m= - 1/2
Plug values y = mx +b
y = - 1/2 x+7
