Respuesta :

Answer:

-4

Step-by-step explanation:

The equation of line one is;

y = 1/4x + 5

The slope of this line is [tex]\frac{1}{4}[/tex]

Let the slope of line two be 'a'.

a × [tex]\frac{1}{4}[/tex] = -1 (the product of slopes of two perpendicular lines is equal to -1)

a = -1 ÷ [tex]\frac{1}{4}[/tex] =  -4