5.2 Graphing Systems

Front

What does it mean if two lines are parallel?

Back

They have the same slopes and will never intersect.

Front

What is the result of graphing the same linear equation twice?

Back

You will have infinite solutions.

Front

What does it indicate if a system of linear equations has one solution?

Back

The two lines are intersecting lines.

Front

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

Back

The lines are parallel and will never intersect.

Front

What is the significance of the y-intercept in a linear equation?

Back

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

Front

How can you determine if two lines are parallel from their equations?

Back

If they have the same slope but different y-intercepts.

Front

What does it mean if two lines are the same line?

Back

They have infinite solutions because every point on the line is a solution.

Front

What is the graphical representation of a system with no solution?

Back

Two parallel lines that never intersect.

Front

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

Back

Use the formula (y2 - y1) / (x2 - x1).

Front

What is the slope of a line that is vertical?

Back

The slope is undefined.