Graphing Systems of Equations

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 when two lines have the same slope?

Back

It means that the lines are parallel and will never meet.

Front

What is the solution to a system of equations?

Back

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

Front

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

Back

If the lines are parallel, they will never intersect, indicating no solution.

Front

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

Back

It means that the two lines are the same line, overlapping completely.

Front

What is the slope-intercept form of a line?

Back

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

Front

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

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the slope-intercept form.

Front

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

Back

It means that the system of equations has one unique solution.

Front

How can you determine if two lines are perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.