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 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
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