How would each system appear graphically?

Question

How would each system appear graphically?

A unique solution.

An infinite number of solutions.

No solution.

How would each system appear graphically?

Answer 1

Hi,

A unique solution occurs when 2 straight lines cross forming an X.

.

An infinite number of solutions is when 2 straight lines have the same slope and the same y intercept so they graph entirely on top of each other.

.

A system has no solution when the lines are parallel and never intersect.

I hope that helps!! :-)

Answer 2

a unique solution would obviate a single intersection

an infinite number of solutions would appear as a single line

no solution would appear as a pair of parallel lines