Solving Systems of Linear Equation Graphically

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 two lines to be parallel in a graph?

Back

Two lines are parallel if they have the same slope and will never intersect.

Front

What is the graphical method of solving a system of equations?

Back

It involves plotting the equations on a graph and identifying the point(s) where they intersect.

Front

What does it indicate if two lines intersect at one point?

Back

The system has one unique solution.

Front

What does it indicate if two lines are parallel?

Back

The system has no solution.

Front

What does it indicate if two lines overlap completely?

Back

The system has infinitely many solutions.

Front

How do you find the solution of a system of equations graphically?

Back

By plotting both equations on the same graph and finding their intersection point.

Front

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

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

How can you determine if a system of equations has no solution?

Back

If the lines are parallel, they will never intersect.

Front

What is the solution to the system of equations y = 2x + 1 and y = 4x - 1?

Back

(1, 3)