Solving Systems of Equations 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 no solution?

Back

It means the lines represented by the equations are parallel and do not intersect.

Front

How can you identify the solution to a system of equations graphically?

Back

The solution is the point where the two lines intersect on the graph.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise over run (change in y over change in x).

Front

What does it mean for two lines to be skew?

Back

Skew lines are lines that do not intersect and are not parallel, existing in different planes.

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 equation y = mx + b.

Front

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

Back

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

Front

What is the equation of a line in slope-intercept form?

Back

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

Front

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

Back

It means the system of equations has a unique solution, represented by the coordinates of the intersection point.

Front

What is the significance of the slopes of two lines in a system of equations?

Back

If the slopes are equal, the lines are parallel; if they are different, the lines will intersect.