Solving Pairs of Linear Equations Using Patterns

What is a solution to a pair of linear equations?

• A pair of values that makes both equations true

• A point that lies on the x-axis

• A single value that satisfies one equation

• A value that only satisfies the second equation

What happens when two lines on a graph have different slopes?

• They are parallel and never meet

• They intersect at exactly one point

• They have no points in common

• They have infinitely many points in common

If two lines have the same slope and the same y-intercept, what can be concluded?

• They are the same line with infinitely many solutions

• They intersect at two points

• They intersect at exactly one point

• They are parallel and have no solutions

What does it mean if two lines have the same slope but different y-intercepts?

• They intersect at two points

• They have infinitely many solutions

• They are parallel and have no solutions

• They intersect at exactly one point

When the slopes of two lines are different, what is true about their intersection?

• They intersect at two points

• They have infinitely many intersections

• They intersect at exactly one point

• They will never intersect