Understanding Systems of Equations

What is the key characteristic of a system of equations that has exactly one solution?

• Same slope but different y-intercepts

• Different slopes but the same y-intercept

• Different slopes and different y-intercepts

• Same slope and same y-intercept

How can you tell if two equations have infinite solutions?

• They intersect at exactly one point

• They have different slopes and y-intercepts

• They are identical equations

• They have the same slope but different y-intercepts

What is the result when two lines in a system have the same slope and y-intercept?

• They are parallel and never meet

• They intersect at one point

• They overlap completely

• They form a right angle

What does it mean if two lines are parallel in a system of equations?

• They have different slopes and never intersect

• They have the same slope and intersect at one point

• They have different slopes and intersect at one point

• They have the same slope and never intersect

Which of the following systems will have no solutions?

• Two lines with the same slope and different y-intercepts

• Two lines with different slopes and the same y-intercept

• Two identical lines

• Two lines with different slopes and different y-intercepts