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

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

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.

HELP ME :(

Question

Provide a system of TWO equations in slope-intercept form, with only one solution. Using complete sentences, explain why this system has one solution.



Provide a system of TWO equations in slope-intercept form with no solutions. Using complete sentences, explain why this system has no solutions.




 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.


HELP ME :(

anonymous · Answer

If the slope is different, there will be a unique solution.

If the slope is the same, and the y-intercepts are different, there will be no solution at all.

The only way for there to be infinitely many solutions is if both equations are the same.  In general form (or one of the many nonstandard forms) they might look different, but be equivalent.  In slope-int form, they would have to be identical.