Solving 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 two lines intersect at a point?

Back

It means that the system of equations has one unique solution, which is the coordinates of the intersection point.

Front

What is the solution to a system of equations?

Back

The solution is the point where the two lines intersect, represented as an ordered pair (x, y).

Front

What happens if two lines are parallel?

Back

If two lines are parallel, the system of equations has no solution because they never intersect.

Front

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

Back

If two lines are the same line, the system of equations has infinitely many solutions.

Front

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

Back

Two lines are parallel if they have the same slope but different y-intercepts.

Front

What is the slope-intercept form of a line?

Back

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

Front

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

Back

The slope (m) can be found using the formula m = (y2 - y1) / (x2 - x1).

Front

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

Back

It means that the lines are parallel and will never intersect.

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) that represent a point on a coordinate plane.