System of equations Graphing

Front

What are parallel lines?

Back

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

Front

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

Back

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

Front

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

Back

The graph consists of parallel lines that never meet.

Front

What is the solution to the system of equations y = 2x + 1 and y = 2x - 3?

Back

There is no solution because the lines are parallel.

Front

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

Back

It means that the system of equations has infinitely many solutions.

Front

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

Back

If the slopes of the two lines are equal, then the lines are parallel.

Front

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

Back

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

Front

What is the y-intercept of the line represented by the equation y = 3x + 4?

Back

The y-intercept is 4.

Front

How do you find the intersection point of two lines graphically?

Back

Plot both lines on a graph and identify the point where they cross.

Front

What does it mean if a system of equations has exactly one solution?

Back

It means the lines intersect at one point.