Answer:
x = - 16
Step-by-step explanation:
The equation relating two proportional quantities is
y = kx ← k is the constant of proportionality
To find k use the condition when y = 1, x = - 4
k = [tex]\frac{y}{x}[/tex] = - [tex]\frac{1}{4}[/tex]
y = - [tex]\frac{1}{4}[/tex] x ← equation of proportionality
when y = 4, then
4 = - [tex]\frac{1}{4}[/tex] x (multiply both sides by - 4 )
x = - 16