Flashcard 6-7: System of linear equations

Front

What is a system of linear equations?

Back

A set of two or more linear equations with the same variables.

Front

What does it mean for a system of equations to have a solution?

Back

It means there is at least one set of values for the variables that satisfies all equations in the system.

Front

What is the graphical representation of a solution to a system of linear equations?

Back

The point where the graphs of the equations intersect.

Front

What is the slope-intercept form of a linear equation?

Back

Front

How do you find the slope of a line given two points?

Back

Front

What does it mean if two lines are parallel?

Back

They have the same slope and will never intersect, indicating the system has no solution.

Front

What is the parent function of a linear equation?

Back

Front

How can you convert an equation from standard form to slope-intercept form?

Back

Front

What is the significance of the y-intercept in a linear equation?

Back

Front

What does it mean for a system of equations to be consistent?

Back

It means the system has at least one solution.