Answer:
y = 3x-6
Explanation:
First we need to find the slope of the line
2y-6x=4
Solve for y
Add 6x to each side
2y-6x+6x=4+6x
2y = 6x+4
Divide each side by 2
2y/2 =6x/2 +4/2
y = 3x +2
The slope is 3
We want a line parallel, so it will have the same slope
We have a slope and a point
y = 3m+b
Substitute in the point
6 = 3(4)+b
6 =12+b
Subtract 12 from each side
6-12 = 12-12+b
-6 =b
y = 3x-6