Step-by-step explanation:
[tex]y = \frac{1}{2} x + 4[/tex]
and,
[tex]y = - 2x - 3[/tex]
represents perpendicular lines.
Two lines are perpendicular when product of their slopes = -1
In, y =½x+4
m1 = ½
In y = -2x -3
m2 = -2
Now, m1× m2 = ½× (-2) = -1