SYSTEMS OF EQUATIONS- GRAPHING METHOD

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables.

Front

What does it mean if two lines intersect on a graph?

Back

If two lines intersect, it means that the system of equations has one unique solution.

Front

What is the graphical representation of a system of equations?

Back

The graphical representation consists of lines on a coordinate plane, where each line represents an equation.

Front

What is the solution to a system of equations?

Back

The solution is the point where the lines intersect, representing the values of the variables that satisfy all equations.

Front

What happens if two lines are parallel?

Back

If two lines are parallel, the system of equations has no solution because the lines never intersect.

Front

What is the meaning of 'no solution' in a system of equations?

Back

'No solution' means that there are no points that satisfy all equations in the system.

Front

What is the slope of a line in a linear equation?

Back

The slope is a measure of the steepness of the line, calculated as the rise over run.

Front

How can you determine if a system of equations has infinitely many solutions?

Back

A system has infinitely many solutions if the equations represent the same line.

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

What does the term 'linear equation' refer to?

Back

A linear equation is an equation that forms a straight line when graphed, typically in the form y = mx + b.