Question

the relationship where the ratio of one quantity to another remains constant is called ____. the constant value in a proportional relationship is known as the constant of __. the equation representing a proportional relationship can be written as y = __. in the equation y = kx, the letter k represents the __ of proportionality. when graphing a proportional relationship, the line always passes through the __. the slope of the line in a proportional relationship represents the ____ of proportionality.

Explanation:

1st Question

In mathematics, when the ratio of two quantities is constant, this relationship is defined as proportionality. So the term for such a relationship is "proportionality".

In a proportional relationship (like \( y = kx \)), the constant \( k \) is called the constant of proportionality. This is a key term in understanding proportional relationships.

For a proportional relationship, the general equation is \( y = kx \), where \( k \) is the constant of proportionality. This is derived from the definition that \( \frac{y}{x}=k \) (constant), so rearranging gives \( y = kx \).

Answer:

proportionality

2nd Question