To determine the constant of proportionality in the equation [tex]\( y = 5x \)[/tex], we need to recognize that in a direct proportionality relationship, the equation can be expressed in the form [tex]\( y = kx \)[/tex], where [tex]\( k \)[/tex] is the constant of proportionality.
Given the equation [tex]\( y = 5x \)[/tex], we can compare it directly to the general form [tex]\( y = kx \)[/tex]. Doing so, we see that the coefficient of [tex]\( x \)[/tex] in the given equation is 5.
This coefficient, 5, is the constant of proportionality as it directly relates the values of [tex]\( y \)[/tex] and [tex]\( x \)[/tex].
Thus, the constant of proportionality in the equation [tex]\( y = 5x \)[/tex] is:
[tex]\[ 5 \][/tex]
