Solving Systems of Equations by Graphing

Front

What are parallel lines?

Back

Parallel lines are lines in a plane that never intersect. They have the same slope.

Front

What does it mean if two lines have the same slope?

Back

If two lines have the same slope, they are parallel and will never intersect.

Front

How do you determine the number of solutions in a system of equations?

Back

The number of solutions can be determined by analyzing the slopes and y-intercepts of the lines represented by the equations.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is zero.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

How do you find the y-intercept of a line in slope-intercept form?

Back

In the slope-intercept form y = mx + b, the y-intercept is the value of b.

Front

What does it mean if a system of equations has no solution?

Back

A system of equations has no solution if the lines are parallel and never intersect.

Front

What does it mean if a system of equations has infinitely many solutions?

Back

A system of equations has infinitely many solutions if the lines are the same, meaning they overlap completely.

Front

How can you graph a system of equations?

Back

To graph a system of equations, plot each line on the same coordinate plane and look for points of intersection.

Front

What is the significance of the point of intersection in a system of equations?

Back

The point of intersection represents the solution to the system of equations, indicating where the two lines meet.