Question

1) Write the standard form of the equation of the line parallel to the graph of 2y-6=0 and passing through B(4,-1).

Answer: y+1=0

2)Write an equation of the line perpendicular to the graph of 2-2y-6=0 and passing through A(-3,2).

Answer: 2x+y-8=0

Thanks.

Answer 1

assume you mean
2 x - 2 y -6 = 0
slope of this line is one
so slope of perpendicular is -1/1 = -1
2 = -1 (-3) + b
b = -1
so
y = -1 x -1
1 x + 1 y + 1 = 0