Answer :
To determine the constant of proportionality in the equation [tex]\( y = 3x \)[/tex], follow these steps:
1. Understand the Form of the Equation:
The given equation [tex]\( y = 3x \)[/tex] is a linear equation in the form of [tex]\( y = k \cdot x \)[/tex], where [tex]\( k \)[/tex] is the constant of proportionality.
2. Identify the Coefficient of [tex]\( x \)[/tex]:
In the equation [tex]\( y = k \cdot x \)[/tex], the term [tex]\( k \)[/tex] represents the constant of proportionality. In our specific equation [tex]\( y = 3x \)[/tex], the coefficient of [tex]\( x \)[/tex] is clearly stated as 3.
3. State the Constant of Proportionality:
Thus, the constant of proportionality [tex]\( k \)[/tex] is the number that multiplies [tex]\( x \)[/tex] in the equation.
Therefore, the constant of proportionality in the equation [tex]\( y = 3x \)[/tex] is:
[tex]\[ \boxed{3} \][/tex]
1. Understand the Form of the Equation:
The given equation [tex]\( y = 3x \)[/tex] is a linear equation in the form of [tex]\( y = k \cdot x \)[/tex], where [tex]\( k \)[/tex] is the constant of proportionality.
2. Identify the Coefficient of [tex]\( x \)[/tex]:
In the equation [tex]\( y = k \cdot x \)[/tex], the term [tex]\( k \)[/tex] represents the constant of proportionality. In our specific equation [tex]\( y = 3x \)[/tex], the coefficient of [tex]\( x \)[/tex] is clearly stated as 3.
3. State the Constant of Proportionality:
Thus, the constant of proportionality [tex]\( k \)[/tex] is the number that multiplies [tex]\( x \)[/tex] in the equation.
Therefore, the constant of proportionality in the equation [tex]\( y = 3x \)[/tex] is:
[tex]\[ \boxed{3} \][/tex]
