Question

Part 1: Provide a system of TWO equations in slope-intercept form, with only one solution. Using complete sentences, explain why this system has one solution.

Part 2: Provide a system of TWO equations in slope-intercept form with no solutions. Using complete sentences, explain why this system has no solutions.

Part 3: Provide a system of TWO equations in slope-intercept form with infinitely many solutions. Using complete sentences, explain why this system has infinitely many solutions.

Answer 1

Here, solutions with differing slopes MUST intersect at some point. Maybe very far away, but they will.

No solutions implies that the lines never cross and in fact have the same slope.

Infinite solutions implies they are actually the same line.

This help?

Answer 2

equations with differing slopes*

Answer 3

no

Answer 4

What does not make sense?