Linear Equations with Independent and Dependent Variables

What is the slope-intercept form of the equation

6x – 3y = 12

The graph shown represents what type of a system?

• Consistent

• Inconsistent

• Independent

• Dependent

A method to solve a system. One equation is solved for one of the variables then the expression for that variable is substituted into the other equation

• substitution method

• elimination method

• coincident lines

• parallel lines

• slope intercept form

A method to solve a system. Two equations are combined to eliminate one variable.

• substitution method

• elimination method

• coincident lines

• parallel lines

• slope intercept form

Lines that occupy the same location, pass through the same set of ordered pairs and intersect infinitely many times.

• substitution method

• elimination method

• coincident lines

• parallel lines

• slope intercept form

Systems that produce two distinct lines when graphed

• Independent System

• Dependent System

• Inconsistent Systems

• Consistent Systems

• Solution Region

Systems that produce coincident lines when graphed

• Independent System

• Dependent System

• Inconsistent Systems

• Consistent Systems

• Solution Region

y - y₁ = m(x - x₁)

m = slope

point = (x₁, y₁)

• Slope Intercept Form

• Point-Slope Form

• Standard Form

• Equation for Slope

What are the kinds of system of linear equations in two variables?

• Consistent and dependent equations

• Consistent and independent equations

• Inconsistent equations

• All of the above

What kind of system of linear equation in two variables has only one solution?

• Consistent and dependent

• Consistent and independent

• Inconsistent

• Inconsistent dependent