Step-by-step explanation:
Hey there!
Given equations are;
y = 4x + 3.............(i)
y = (-1/4)X -5...........(ii)
From equation (i);
y = 4x + 3
Comparing the equation with y = mx+c;
m1 = 4
From equation (ii);
Comparing the equation with y = mx+c;
m2 = -1/4
Now; check for parallel and perpendicular;
Parallel:
m1 = m2
4 ≠ -1/4
Therefore it's not parallel.
Perpendicular:
m1*m2 = -1
4*(-1/4) = -1
-1 = -1
Therefore it's perpendicular.
Hope it helps!
