In the context of linear equations, what does the term 'dependent' refer to?
Practice Questions
Q1
In the context of linear equations, what does the term 'dependent' refer to?
An equation with no solutions
An equation that is always true
An equation that can be derived from another
An equation with a unique solution
Questions & Step-by-Step Solutions
In the context of linear equations, what does the term 'dependent' refer to?
Step 1: Understand what a linear equation is. A linear equation is an equation that makes a straight line when graphed.
Step 2: Learn about dependent equations. Dependent equations are equations that are not independent; they are related to each other.
Step 3: Realize that if one equation can be transformed into another by simple algebraic operations (like adding, subtracting, multiplying, or dividing), they are dependent.
Step 4: Know that dependent equations represent the same line on a graph. This means they have the same slope and y-intercept.
Step 5: Example: If you have the equation y = 2x + 3, and you multiply the entire equation by 2, you get 2y = 4x + 6, which is a dependent equation.
