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Case 1 and 2 which is Quadrant I and Quadrant II | |
Quadrant I : x ≥ 0, y ≥ 0 => |x| = x, | y| = y => x + y = 10 => x = 0, y = 10 and y = 0, x = 10 So, the line will pass through the points (0,10) and (10,0) in Quadrant I | Quadrant II : x ≤ 0, y ≥ 0 => |x| = -x, | y| = y => -x + y = 10 => x = 0, y = 10 and y = 0, x = -10 So, the line will pass through the points (0,10) and (-10,0) in Quadrant II |
Case 3 and 4 which is Quadrant III and Quadrant IV | |
Quadrant III : x ≤ 0, y ≤ 0 => |x| = -x, | y| = -y => -x - y = 10 => x = 0, y = -10 and y = 0, x = -10 So, the line will pass through the points (0,-10) and (-10,0) in Quadrant III | Quadrant IV : x ≥ 0, y ≤ 0 => |x| = x, | y| = -y => x - y = 10 => x = 0, y = -10 and y = 0, x = 10 So, the line will pass through the points (0,-10) and (10,0) in Quadrant IV |