Graphing Equations

Front

What is the graph of the equation x = 2?

Back

A vertical line that passes through the point (2, y) for all values of y.

Front

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

Back

The graphs of the equations are parallel lines that never intersect.

Front

How do you find the solution to a system of equations graphically?

Back

The solution is the point where the two lines intersect.

Front

What does the solution (2, -9) represent in a system of equations?

Back

It is the point where the two lines meet on the graph.

Front

What is the meaning of 'No solution' in the context of a system of equations?

Back

It indicates that the lines are parallel and do not intersect.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

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

Back

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

Front

How can you determine if two lines are parallel?

Back

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

Front

What does the y-intercept represent in a graph?

Back

The point where the line crosses the y-axis.

Front

What is the significance of the point (0, b) in a linear equation?

Back

It represents the y-intercept of the line.