We are given equations as
Firstly, we will write in slope intercept form of line
y=mx+b
Subtract both sides by 4x
now, we can divide both sides by a
we can find slope
so, we get
we are given second equation as
Firstly, we will write in slope intercept form of line
y=mx+b
divide both sides by a
we can find slope
we are given both lines are perpendicular
so, the multiplication of their slopes must be -1
we can plug values
now, we can solve for a
Multiply both sides by a
now, we can solve for a
we get
...............Answer