Let |x| + |y| = c, where c is a real number.

Determine the number of points that would be on the graph of the equation for

Case 1: c < 0

Case 2: c = 0

Case 3: c > 0

Justify your answers.

Determine the number of points that would be on the graph of the equation for

**each**given case:Case 1: c < 0

Case 2: c = 0

Case 3: c > 0

Justify your answers.

**Absolute value is the distance a number is away from zero.**

**Given |x| + |y| = c, then c is positive or zero since both absolute values will be positive.**

**If c < 0**, there are no solutions, or

**no points on the graph**, since c is positive or zero.

**If c = 0**, there is one solution, or

**one point on the graph**, where x and y are both equal to zero.

**If c > 0**, there are infinite solutions, or an

**infinite number of points on the graph.**

*Ask Algebra House*