solve systems by 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 a system of equations has one solution?

Back

It means the lines representing the equations intersect at exactly one point.

Front

What is the solution to a system of equations?

Back

The solution is the point where the graphs of the equations intersect.

Front

How do you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope.

Front

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

Back

It means the lines representing the equations are parallel and never intersect.

Front

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

Back

It means the lines representing the equations are the same line, overlapping completely.

Front

How do you graph the equation y = mx + b?

Back

Plot the y-intercept (b) on the y-axis, then use the slope (m) to find another point.

Front

What is the slope of the line represented by the equation y = 2x + 1?

Back

The slope is 2.

Front

What is the y-intercept of the line represented by the equation y = -3x + 9?

Back

The y-intercept is 9.

Front

How do you solve a system of equations by graphing?

Back

Graph both equations on the same coordinate plane and identify the intersection point.