Respuesta :

The equation is given as

[tex]y=\frac{1}{2}x+4[/tex]

For finding the perpendicular line,

The product of slope is -1.

For the given equation , the slope is 1/2.

Now find the slope of perpendicular line.

[tex]\frac{1}{2}\times m=-1[/tex][tex]m=-2[/tex]

Hence the slope of perpendicular line is -2.

Now the perpendicular equation to the given line can be

y=-2x+b.

Where assume b=1.

Then the equation perpendicular to the given line is

[tex]y=-2x+1[/tex]