Question

a mathematical expression representing a relationship where one variable is a constant multiple of another is called a
__________ equation.

a linear equation with one variable generally takes the form ( ax + b = 0 ), where ( a ) and ( b ) are
__________.

when a linear equation includes fractions, it is often helpful to multiply by the
__________ common denominator in the equation to clear the fractions.

Explanation:

1. A relationship where one variable is a constant multiple of another is defined as proportional, so the equation is proportional.
2. In the linear equation \(ax + b = 0\), \(a\) (coefficient of \(x\)) and \(b\) (constant term) are fixed numerical values, i.e., constants.
3. To clear fractions in a linear equation, multiplying by the smallest number divisible by all denominators (least common denominator) simplifies the equation.

Answer:

proportional
constants
least