4.2 Introduction to Systems of Linear Equations

Front

What happens when you graph the same linear equation twice?

Back

You will have infinite solutions.

Front

What is the solution of a system of linear equations?

Back

The intersection of the two equations on a graph.

Front

How many solutions does a system of linear equations have if the lines are parallel?

Back

No solution.

Front

What does it mean if two lines in a system of equations intersect at one point?

Back

The system has one solution.

Front

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

Back

It is represented by the intersection points of the lines on a graph.

Front

If two lines are the same, how many solutions does the system have?

Back

Infinitely many solutions.

Front

What is the y-intercept in the equation of a line?

Back

It is the point where the line crosses the y-axis.

Front

What is the slope in the equation of a line?

Back

It represents the steepness of the line, calculated as the rise over run.

Front

How can you determine the number of solutions in a system of equations by observation?

Back

By analyzing the slopes and y-intercepts of the lines.

Front

What does it indicate if two lines have the same slope but different y-intercepts?

Back

The system has no solution.